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100011012012132 = 223131753711538547
BaseRepresentation
bin10110101111010110100000…
…110110000011100001100100
3111010002221220101100201001220
4112233112200312003201210
5101102040023033342012
6552412231420220340
730031362052535004
oct2657264066034144
9433087811321056
10100011012012132
1129959482aa9951
12b27297969a6b0
1343a5cc86b7c60
141a9a7b752c004
15b867b143308c
hex5af5a0d83864

100011012012132 has 96 divisors (see below), whose sum is σ = 271113263713152. Its totient is φ = 28416003373056.

The previous prime is 100011012012101. The next prime is 100011012012143. The reversal of 100011012012132 is 231210210110001.

It is a super-2 number, since 2×1000110120121322 (a number of 29 digits) contains 22 as substring.

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, 355628718 + ... + 355909829.

It is an arithmetic number, because the mean of its divisors is an integer number (2824096497012).

Almost surely, 2100011012012132 is an apocalyptic number.

100011012012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011012012132 is an abundant number, since it is smaller than the sum of its proper divisors (171102251701020).

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

100011012012132 is a wasteful number, since it uses less digits than its factorization.

100011012012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711538637 (or 711538635 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100011012012132 its reverse (231210210110001), we get a palindrome (331221222122133).

The spelling of 100011012012132 in words is "one hundred trillion, eleven billion, twelve million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 53 68 78 102 106 156 159 204 212 221 318 442 636 663 689 884 901 1326 1378 1802 2067 2652 2703 2756 3604 4134 5406 8268 10812 11713 23426 35139 46852 70278 140556 711538547 1423077094 2134615641 2846154188 4269231282 8538462564 9250001111 12096155299 18500002222 24192310598 27750003333 36288465897 37000004444 37711542991 48384621196 55500006666 72576931794 75423085982 111000013332 113134628973 145153863588 150846171964 157250018887 226269257946 314500037774 452538515892 471750056661 490250058883 629000075548 641096230847 943500113322 980500117766 1282192461694 1470750176649 1887000226644 1923288692541 1961000235532 2564384923388 2941500353298 3846577385082 5883000706596 7693154770164 8334251001011 16668502002022 25002753003033 33337004004044 50005506006066 100011012012132