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100132311104 = 2671092050547
BaseRepresentation
bin101110101000001011…
…0011101000001000000
3100120110101121102221222
41131100112131001000
53120032332423404
6114000010534212
710143241413110
oct1352026350100
9316411542858
10100132311104
1139514096421
12174a6137368
13959a057137
144bbc863040
152910b72dbe
hex175059d040

100132311104 has 56 divisors (see below), whose sum is σ = 229169244480. Its totient is φ = 42520121856.

The previous prime is 100132311079. The next prime is 100132311107. The reversal of 100132311104 is 401113231001.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (100132311107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976442 + ... + 1074105.

Almost surely, 2100132311104 is an apocalyptic number.

100132311104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100132311104 is an abundant number, since it is smaller than the sum of its proper divisors (129036933376).

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

100132311104 is a wasteful number, since it uses less digits than its factorization.

100132311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050675 (or 2050665 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100132311104 its reverse (401113231001), we get a palindrome (501245542105).

The spelling of 100132311104 in words is "one hundred billion, one hundred thirty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 48832 2050547 4101094 8202188 14353829 16404376 28707658 32808752 57415316 65617504 114830632 131235008 223509623 229661264 447019246 459322528 894038492 918645056 1564567361 1788076984 3129134722 3576153968 6258269444 7152307936 12516538888 14304615872 25033077776 50066155552 100132311104