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102001210120320 = 273577589375753
BaseRepresentation
bin10111001100010100000001…
…111001010101100010000000
3111101011012221201012212020220
4113030110001321111202000
5101332141434242322240
61000534413052503040
730325226034406020
oct2714240171254200
9441135851185226
10102001210120320
112a556519a462a5
12b534626a7aa80
1344bb899306034
141b28c562a7a80
15bbd443b365d0
hex5cc501e55880

102001210120320 has 128 divisors (see below), whose sum is σ = 371575836915840. Its totient is φ = 23314562310144.

The previous prime is 102001210120309. The next prime is 102001210120343. The reversal of 102001210120320 is 23021012100201.

It is a tau number, because it is divible by the number of its divisors (128).

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 102001210120320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3794674437 + ... + 3794701316.

It is an arithmetic number, because the mean of its divisors is an integer number (2902936225905).

Almost surely, 2102001210120320 is an apocalyptic number.

102001210120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001210120320 is an abundant number, since it is smaller than the sum of its proper divisors (269574626795520).

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

102001210120320 is an equidigital number, since it uses as much as digits as its factorization.

102001210120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589375782 (or 7589375770 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102001210120320 its reverse (23021012100201), we get a palindrome (125022222220521).

The spelling of 102001210120320 in words is "one hundred two trillion, one billion, two hundred ten million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 7589375753 15178751506 22768127259 30357503012 37946878765 45536254518 53125630271 60715006024 75893757530 91072509036 106251260542 113840636295 121430012048 151787515060 159376890813 182145018072 212502521084 227681272590 242860024096 265628151355 303575030120 318753781626 364290036144 425005042168 455362545180 485720048192 531256302710 607150060240 637507563252 728580072288 796884454065 850010084336 910725090360 971440096384 1062512605420 1214300120480 1275015126504 1457160144576 1593768908130 1700020168672 1821450180720 2125025210840 2428600240960 2550030253008 2914320289152 3187537816260 3400040337344 3642900361440 4250050421680 4857200481920 5100060506016 6375075632520 6800080674688 7285800722880 8500100843360 10200121012032 12750151265040 14571601445760 17000201686720 20400242024064 25500302530080 34000403373440 51000605060160 102001210120320