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100230032016 = 24331042922247
BaseRepresentation
bin101110101011000101…
…1001110101010010000
3100120201012111011212000
41131112023032222100
53120232342011031
6114013421234000
710145536133532
oct1352613165220
9316635434760
10100230032016
1139564270604
1217512a02900
1395b438046a
144bcb81d852
1529195273e6
hex17562cea90

100230032016 has 80 divisors (see below), whose sum is σ = 287737833600. Its totient is φ = 33405305472.

The previous prime is 100230031973. The next prime is 100230032047. The reversal of 100230032016 is 610230032001.

100230032016 is a `hidden beast` number, since 100 + 230 + 0 + 320 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100230032016.

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, 4494205 + ... + 4516451.

It is an arithmetic number, because the mean of its divisors is an integer number (3596722920).

Almost surely, 2100230032016 is an apocalyptic number.

100230032016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100230032016 is an abundant number, since it is smaller than the sum of its proper divisors (187507801584).

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

100230032016 is a wasteful number, since it uses less digits than its factorization.

100230032016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32693 (or 32681 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100230032016 its reverse (610230032001), we get a palindrome (710460064017).

The spelling of 100230032016 in words is "one hundred billion, two hundred thirty million, thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 10429 20858 22247 31287 41716 44494 62574 66741 83432 88988 93861 125148 133482 166864 177976 187722 200223 250296 266964 281583 355952 375444 400446 500592 533928 563166 600669 750888 800892 1067856 1126332 1201338 1501776 1601784 2252664 2402676 3203568 4505328 4805352 9610704 232013963 464027926 696041889 928055852 1392083778 1856111704 2088125667 2784167556 3712223408 4176251334 5568335112 6264377001 8352502668 11136670224 12528754002 16705005336 25057508004 33410010672 50115016008 100230032016