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23010330600 = 23325224415237
BaseRepresentation
bin10101011011100001…
…011100011111101000
32012101121222220111200
4111123201130133220
5334111121034400
614323143124200
71443134403645
oct253341343750
965347886450
1023010330600
119838805a54
124562143660
13222926834a
14118401adcc
158ea1a0b00
hex55b85c7e8

23010330600 has 144 divisors (see below), whose sum is σ = 77322779820. Its totient is φ = 6132403200.

The previous prime is 23010330587. The next prime is 23010330631. The reversal of 23010330600 is 603301032.

It is a happy number.

23010330600 is a `hidden beast` number, since 2 + 30 + 1 + 0 + 3 + 30 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7484672196 + 15525658404 = 86514^2 + 124602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4391182 + ... + 4396418.

Almost surely, 223010330600 is an apocalyptic number.

23010330600 is a gapful number since it is divisible by the number (20) 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 23010330600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38661389910).

23010330600 is an abundant number, since it is smaller than the sum of its proper divisors (54312449220).

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

23010330600 is a wasteful number, since it uses less digits than its factorization.

23010330600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23010330600 its reverse (603301032), we get a palindrome (23613631632).

The spelling of 23010330600 in words is "twenty-three billion, ten million, three hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2441 4882 5237 7323 9764 10474 12205 14646 15711 19528 20948 21969 24410 26185 29292 31422 36615 41896 43938 47133 48820 52370 58584 61025 62844 73230 78555 87876 94266 97640 104740 109845 122050 125688 130925 146460 157110 175752 183075 188532 209480 219690 235665 244100 261850 292920 314220 366150 377064 392775 439380 471330 488200 523700 549225 628440 732300 785550 878760 942660 1047400 1098450 1178325 1464600 1571100 1885320 2196900 2356650 3142200 4393800 4713300 9426600 12783517 25567034 38350551 51134068 63917585 76701102 102268136 115051653 127835170 153402204 191752755 230103306 255670340 306804408 319587925 383505510 460206612 511340680 575258265 639175850 767011020 920413224 958763775 1150516530 1278351700 1534022040 1917527550 2301033060 2556703400 2876291325 3835055100 4602066120 5752582650 7670110200 11505165300 23010330600