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102013054232124 = 223730718792105287
BaseRepresentation
bin10111001100011111000011…
…110111000010011000111100
3111101012100112011000002012110
4113030133003313002120330
5101332340213340411444
61000544052233134020
730326125403610150
oct2714370367023074
9441170464002173
10102013054232124
112a560547703852
12b53699155a310
1344bca36089809
141b2965b307060
15bbd8d8862cb9
hex5cc7c3dc263c

102013054232124 has 96 divisors (see below), whose sum is σ = 273066295828480. Its totient is φ = 29036171881152.

The previous prime is 102013054232123. The next prime is 102013054232147. The reversal of 102013054232124 is 421232450310201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102013054232091 and 102013054232100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013054232123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47403009 + ... + 49508295.

Almost surely, 2102013054232124 is an apocalyptic number.

102013054232124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102013054232124 is an abundant number, since it is smaller than the sum of its proper divisors (171053241596356).

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

102013054232124 is a wasteful number, since it uses less digits than its factorization.

102013054232124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107487 (or 2107485 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 102013054232124 in words is "one hundred two trillion, thirteen billion, fifty-four million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 307 614 921 1228 1842 1879 2149 3684 3758 4298 5637 6447 7516 8596 11274 12894 13153 22548 25788 26306 39459 52612 78918 157836 576853 1153706 1730559 2105287 2307412 3461118 4037971 4210574 6315861 6922236 8075942 8421148 12113913 12631722 14737009 16151884 24227826 25263444 29474018 44211027 48455652 58948036 88422054 176844108 646323109 1292646218 1938969327 2585292436 3877938654 3955834273 4524261763 7755877308 7911668546 9048523526 11867502819 13572785289 15823337092 18097047052 23735005638 27145570578 27690839911 47470011276 54291141156 55381679822 83072519733 110763359644 166145039466 332290078932 1214441121811 2428882243622 3643323365433 4857764487244 7286646730866 8501087852677 14573293461732 17002175705354 25503263558031 34004351410708 51006527116062 102013054232124