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100032422224 = 2474996532741
BaseRepresentation
bin101110100101001100…
…1011010000101010000
3100120012102122120011211
41131022121122011100
53114331300002344
6113542041545504
710140616362640
oct1351231320520
9316172576154
10100032422224
1139472770429
12174787a5294
1395824520a7
144bad4a0520
152906ee1334
hex174a65a150

100032422224 has 80 divisors (see below), whose sum is σ = 222365232000. Its totient is φ = 42704017920.

The previous prime is 100032422207. The next prime is 100032422239. The reversal of 100032422224 is 422224230001.

It is a junction number, because it is equal to n+sod(n) for n = 100032422195 and 100032422204.

It is a congruent number.

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, 36493494 + ... + 36496234.

It is an arithmetic number, because the mean of its divisors is an integer number (2779565400).

Almost surely, 2100032422224 is an apocalyptic number.

100032422224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100032422224 is an abundant number, since it is smaller than the sum of its proper divisors (122332809776).

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

100032422224 is a wasteful number, since it uses less digits than its factorization.

100032422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 100032422224 its reverse (422224230001), we get a palindrome (522256652225).

The spelling of 100032422224 in words is "one hundred billion, thirty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 499 653 998 1306 1996 2612 2741 3493 3992 4571 5224 5482 6986 7984 9142 10448 10964 13972 18284 19187 21928 27944 36568 38374 43856 55888 73136 76748 153496 306992 325847 651694 1303388 1367759 1789873 2280929 2606776 2735518 3579746 4561858 5213552 5471036 7159492 9123716 9574313 10942072 12529111 14318984 18247432 19148626 21884144 25058222 28637968 36494864 38297252 50116444 76594504 100232888 153189008 200465776 893146627 1786293254 3572586508 6252026389 7145173016 12504052778 14290346032 25008105556 50016211112 100032422224