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100132111140 = 223512713140697
BaseRepresentation
bin101110101000001010…
…1101100001100100100
3100120110101020021122220
41131100111230030210
53120032310024030
6114000002352340
710143236621115
oct1352025541444
9316411207586
10100132111140
1139513a6a166
12174a605b6b0
139599cb7109
144bbc81020c
152910b33a10
hex175056c324

100132111140 has 48 divisors (see below), whose sum is σ = 282577569792. Its totient is φ = 26491643136.

The previous prime is 100132111117. The next prime is 100132111153. The reversal of 100132111140 is 41111231001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6562729 + ... + 6577968.

It is an arithmetic number, because the mean of its divisors is an integer number (5887032704).

Almost surely, 2100132111140 is an apocalyptic number.

100132111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132111140 is an abundant number, since it is smaller than the sum of its proper divisors (182445458652).

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

100132111140 is a wasteful number, since it uses less digits than its factorization.

100132111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140836 (or 13140834 counting only the distinct ones).

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

Adding to 100132111140 its reverse (41111231001), we get a palindrome (141243342141).

The spelling of 100132111140 in words is "one hundred billion, one hundred thirty-two million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 13140697 26281394 39422091 52562788 65703485 78844182 131406970 157688364 197110455 262813940 394220910 788441820 1668868519 3337737038 5006605557 6675474076 8344342595 10013211114 16688685190 20026422228 25033027785 33377370380 50066055570 100132111140