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100442432832 = 2637210676279
BaseRepresentation
bin101110110001011010…
…1011110010101000000
3100121021000011020222220
41131202311132111000
53121201230322312
6114050445531040
710154025410100
oct1354265362500
9317230136886
10100442432832
1139663153475
1217571b73a80
13961938a011
144c0bb0d200
15292ced0c8c
hex1762d5e540

100442432832 has 84 divisors (see below), whose sum is σ = 309142363680. Its totient is φ = 28697835264.

The previous prime is 100442432807. The next prime is 100442432873. The reversal of 100442432832 is 238234244001.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 100442432793 and 100442432802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5328732 + ... + 5347547.

Almost surely, 2100442432832 is an apocalyptic number.

100442432832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100442432832 is an abundant number, since it is smaller than the sum of its proper divisors (208699930848).

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

100442432832 is a wasteful number, since it uses less digits than its factorization.

100442432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676308 (or 10676291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 100442432832 its reverse (238234244001), we get a palindrome (338676676833).

The spelling of 100442432832 in words is "one hundred billion, four hundred forty-two million, four hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 10676279 21352558 32028837 42705116 64057674 74733953 85410232 128115348 149467906 170820464 224201859 256230696 298935812 341640928 448403718 512461392 523137671 597871624 683281856 896807436 1024922784 1046275342 1195743248 1569413013 1793614872 2049845568 2092550684 2391486496 3138826026 3587229744 4185101368 4782972992 6277652052 7174459488 8370202736 12555304104 14348918976 16740405472 25110608208 33480810944 50221216416 100442432832