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100302003130332 = 223174182871447099
BaseRepresentation
bin10110110011100101100001…
…010001000100111111011100
3111011010210000001111010021010
4112303211201101010333130
5101121322000300132312
6553154034253535220
730061403066325003
oct2663454121047734
9434123001433233
10100302003130332
1129a60927998993
12b2bb249aa4510
1343c7590c76973
141aaa8dddc5c3a
15b8e142c5d93c
hex5b3961444fdc

100302003130332 has 96 divisors (see below), whose sum is σ = 253879779686400. Its totient is φ = 30696074311680.

The previous prime is 100302003130309. The next prime is 100302003130361. The reversal of 100302003130332 is 233031300203001.

It is a junction number, because it is equal to n+sod(n) for n = 100302003130299 and 100302003130308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68588919 + ... + 70036017.

It is an arithmetic number, because the mean of its divisors is an integer number (2644581038400).

Almost surely, 2100302003130332 is an apocalyptic number.

100302003130332 is a gapful number since it is divisible by the number (12) 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 100302003130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126939889843200).

100302003130332 is an abundant number, since it is smaller than the sum of its proper divisors (153577776556068).

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

100302003130332 is a wasteful number, since it uses less digits than its factorization.

100302003130332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455451 (or 1455449 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100302003130332 its reverse (233031300203001), we get a palindrome (333333303333333).

The spelling of 100302003130332 in words is "one hundred trillion, three hundred two billion, three million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 8287 8364 16574 24861 33148 49722 99444 140879 281758 339767 422637 563516 679534 845274 1019301 1359068 1447099 1690548 2038602 2894198 4077204 4341297 5776039 5788396 8682594 11552078 17328117 17365188 23104156 24600683 34656234 49201366 59331059 69312468 73802049 98402732 118662118 147604098 177993177 237324236 295208196 355986354 711972708 1008628003 2017256006 3025884009 4034512012 6051768018 11992109413 12103536036 23984218826 35976328239 47968437652 71952656478 143905312956 203865860021 407731720042 491676485933 611597580063 815463440084 983352971866 1223195160126 1475029457799 1966705943732 2446390320252 2950058915598 5900117831196 8358500260861 16717000521722 25075500782583 33434001043444 50151001565166 100302003130332