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101400024034032 = 2437129753528179
BaseRepresentation
bin10111000011100100001000…
…011010011010101011110000
3111022000202012000112101020220
4113003210020122122223300
5101242314222123042112
6555354310012333040
730233624060112333
oct2703441032325360
9438022160471226
10101400024034032
112a34456608a5a9
12b458006a74180
134476c9aa16429
141b07b046b661a
15bac9a9aca98c
hex5c390869aaf0

101400024034032 has 40 divisors (see below), whose sum is σ = 265639499591040. Its totient is φ = 33323951559360.

The previous prime is 101400024033991. The next prime is 101400024034061. The reversal of 101400024034032 is 230430420004101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101400024033993 and 101400024034011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14876760682 + ... + 14876767497.

It is an arithmetic number, because the mean of its divisors is an integer number (6640987489776).

Almost surely, 2101400024034032 is an apocalyptic number.

101400024034032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101400024034032 is an abundant number, since it is smaller than the sum of its proper divisors (164239475557008).

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

101400024034032 is a wasteful number, since it uses less digits than its factorization.

101400024034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29753528261 (or 29753528255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101400024034032 its reverse (230430420004101), we get a palindrome (331830444038133).

The spelling of 101400024034032 in words is "one hundred one trillion, four hundred billion, twenty-four million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 29753528179 59507056358 89260584537 119014112716 178521169074 238028225432 357042338148 476056450864 714084676296 1428169352592 2112500500709 4225001001418 6337501502127 8450002002836 12675003004254 16900004005672 25350006008508 33800008011344 50700012017016 101400024034032