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340231203020100 = 223527580127928781
BaseRepresentation
bin100110101011100000011111…
…1111111110101110101000100
31122121122210012112010221101010
41031113000333333311311010
5324043322000433120400
63203340020143402220
7131443615245013650
oct11527007777656504
91577583175127333
10340231203020100
1199454274328607
12321ab1055b3370
13117ac884694842
1460033c7115a60
1529502db05e450
hex135703fff5d44

340231203020100 has 144 divisors (see below), whose sum is σ = 1125225155730816. Its totient is φ = 77753723520000.

The previous prime is 340231203020099. The next prime is 340231203020123. The reversal of 340231203020100 is 1020302132043.

It is a super-2 number, since 2×3402312030201002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782291 + ... + 26146490.

It is an arithmetic number, because the mean of its divisors is an integer number (7814063581464).

Almost surely, 2340231203020100 is an apocalyptic number.

340231203020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340231203020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562612577865408).

340231203020100 is an abundant number, since it is smaller than the sum of its proper divisors (784993952710716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340231203020100 is a wasteful number, since it uses less digits than its factorization.

340231203020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27934606 (or 27934599 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 340231203020100 its reverse (1020302132043), we get a palindrome (341251505152143).

The spelling of 340231203020100 in words is "three hundred forty trillion, two hundred thirty-one billion, two hundred three million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5801 11602 17403 23204 29005 34806 40607 58010 69612 81214 87015 116020 121821 145025 162428 174030 203035 243642 290050 348060 406070 435075 487284 580100 609105 812140 870150 1015175 1218210 1740300 2030350 2436420 3045525 4060700 6091050 12182100 27928781 55857562 83786343 111715124 139643905 167572686 195501467 279287810 335145372 391002934 418931715 558575620 586504401 698219525 782005868 837863430 977507335 1173008802 1396439050 1675726860 1955014670 2094658575 2346017604 2792878100 2932522005 3910029340 4189317150 4887536675 5865044010 8378634300 9775073350 11730088020 14662610025 19550146700 29325220050 58650440100 162014858581 324029717162 486044575743 648059434324 810074292905 972089151486 1134104010067 1620148585810 1944178302972 2268208020134 2430222878715 3240297171620 3402312030201 4050371464525 4536416040268 4860445757430 5670520050335 6804624060402 8100742929050 9720891514860 11341040100670 12151114393575 13609248120804 16201485858100 17011560151005 22682080201340 24302228787150 28352600251675 34023120302010 48604457574300 56705200503350 68046240604020 85057800755025 113410401006700 170115601510050 340231203020100