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100540024016 = 24232141127607
BaseRepresentation
bin101110110100010100…
…1110000010011010000
3100121111210210101221012
41131220221300103100
53121401221232031
6114104253350052
710156322050355
oct1355051602320
9317453711835
10100540024016
113970324a143
121759a798328
139633669293
144c1aa7462c
15293685bb2b
hex1768a704d0

100540024016 has 40 divisors (see below), whose sum is σ = 203362233984. Its totient is φ = 48061523840.

The previous prime is 100540023979. The next prime is 100540024063. The reversal of 100540024016 is 610420045001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 100540023982 and 100540024000.

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, 724085 + ... + 851691.

Almost surely, 2100540024016 is an apocalyptic number.

100540024016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100540024016 is an abundant number, since it is smaller than the sum of its proper divisors (102822209968).

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

100540024016 is a wasteful number, since it uses less digits than its factorization.

100540024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129779 (or 129773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 100540024016 its reverse (610420045001), we get a palindrome (710960069017).

The spelling of 100540024016 in words is "one hundred billion, five hundred forty million, twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 368 2141 4282 8564 17128 34256 49243 98486 127607 196972 255214 393944 510428 787888 1020856 2041712 2934961 5869922 11739844 23479688 46959376 273206587 546413174 1092826348 2185652696 4371305392 6283751501 12567503002 25135006004 50270012008 100540024016