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123020103120 = 24354127146133
BaseRepresentation
bin111001010010010010…
…0011100110111010000
3102202112111000202010120
41302210210130313100
54003421121244440
6132303055430240
711613360423525
oct1624444346720
9382474022116
10123020103120
1148199706312
121ba13225380
13b7a6ab9c35
145d504a314c
1533001badd0
hex1ca491cdd0

123020103120 has 160 divisors (see below), whose sum is σ = 392113903104. Its totient is φ = 31886438400.

The previous prime is 123020103119. The next prime is 123020103137. The reversal of 123020103120 is 21301020321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123020103120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2643574 + ... + 2689706.

Almost surely, 2123020103120 is an apocalyptic number.

123020103120 is a gapful number since it is divisible by the number (10) 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 123020103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196056951552).

123020103120 is an abundant number, since it is smaller than the sum of its proper divisors (269093799984).

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

123020103120 is a wasteful number, since it uses less digits than its factorization.

123020103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46461 (or 46455 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123020103120 its reverse (21301020321), we get a palindrome (144321123441).

The spelling of 123020103120 in words is "one hundred twenty-three billion, twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 271 328 410 492 542 615 656 813 820 984 1084 1230 1355 1626 1640 1968 2168 2460 2710 3252 3280 4065 4336 4920 5420 6504 8130 9840 10840 11111 13008 16260 21680 22222 32520 33333 44444 46133 55555 65040 66666 88888 92266 111110 133332 138399 166665 177776 184532 222220 230665 266664 276798 333330 369064 444440 461330 533328 553596 666660 691995 738128 888880 922660 1107192 1333320 1383990 1845320 1891453 2214384 2666640 2767980 3690640 3782906 5535960 5674359 7565812 9457265 11071920 11348718 12502043 15131624 18914530 22697436 25004086 28371795 30263248 37506129 37829060 45394872 50008172 56743590 62510215 75012258 75658120 90789744 100016344 113487180 125020430 150024516 151316240 187530645 200032688 226974360 250040860 300049032 375061290 453948720 500081720 512583763 600098064 750122580 1000163440 1025167526 1500245160 1537751289 2050335052 2562918815 3000490320 3075502578 4100670104 5125837630 6151005156 7688756445 8201340208 10251675260 12302010312 15377512890 20503350520 24604020624 30755025780 41006701040 61510051560 123020103120