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100304444320132 = 221317149761520577
BaseRepresentation
bin10110110011100111110010…
…110001011110100110000100
3111011011000022012000102010011
4112303213302301132212010
5101121342000221221012
6553155120421040004
730061520431153303
oct2663476261364604
9434130265012104
10100304444320132
1129a6196a983a18
12b2bb80b556004
1343c788c954880
141aaaa922c843a
15b8e23721e1a7
hex5b39f2c5e984

100304444320132 has 48 divisors (see below), whose sum is σ = 201498344938800. Its totient is φ = 43278737375232.

The previous prime is 100304444320097. The next prime is 100304444320189. The reversal of 100304444320132 is 231023444403001.

It can be written as a sum of positive squares in 8 ways, for example, as 540424938496 + 99764019381636 = 735136^2 + 9988194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100304444320094 and 100304444320103.

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, 380628573 + ... + 380892004.

It is an arithmetic number, because the mean of its divisors is an integer number (4197882186225).

Almost surely, 2100304444320132 is an apocalyptic number.

It is an amenable number.

100304444320132 is an abundant number, since it is smaller than the sum of its proper divisors (101193900618668).

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

100304444320132 is a wasteful number, since it uses less digits than its factorization.

100304444320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761520760 (or 761520758 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 100304444320132 its reverse (231023444403001), we get a palindrome (331327888723133).

The spelling of 100304444320132 in words is "one hundred trillion, three hundred four billion, four hundred forty-four million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 149 221 298 442 596 884 1937 2533 3874 5066 7748 10132 32929 65858 131716 761520577 1523041154 3046082308 9899767501 12945849809 19799535002 25891699618 39599070004 51783399236 113466565973 168296047517 226933131946 336592095034 453866263892 673184190068 1475065357649 1928931621541 2950130715298 3857863243082 5900261430596 7715726486164 25076111080033 50152222160066 100304444320132