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100214432220014 = 27211319346888727
BaseRepresentation
bin10110110010010011111101…
…101000100100001101101110
3111010211101222002100221202022
4112302103331220210031232
5101113403124122020024
6553045512525230142
730052153024012400
oct2662237550441556
9433741862327668
10100214432220014
1129a2777a448932
12b2a628a702352
1343bc246486b78
141aa659395ab70
15b8bc19ca235e
hex5b24fda2436e

100214432220014 has 48 divisors (see below), whose sum is σ = 177325479544608. Its totient is φ = 42348396883968.

The previous prime is 100214432219999. The next prime is 100214432220047. The reversal of 100214432220014 is 410022234412001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21307082 + ... + 25581645.

It is an arithmetic number, because the mean of its divisors is an integer number (3694280823846).

Almost surely, 2100214432220014 is an apocalyptic number.

100214432220014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100214432220014 is a deficient number, since it is larger than the sum of its proper divisors (77111047324594).

100214432220014 is a wasteful number, since it uses less digits than its factorization.

100214432220014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46889049 (or 46889042 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 100214432220014 its reverse (410022234412001), we get a palindrome (510236666632015).

The spelling of 100214432220014 in words is "one hundred trillion, two hundred fourteen billion, four hundred thirty-two million, two hundred twenty thousand, fourteen".

Divisors: 1 2 7 14 49 98 113 193 226 386 791 1351 1582 2702 5537 9457 11074 18914 21809 43618 152663 305326 1068641 2137282 46888727 93777454 328221089 656442178 2297547623 4595095246 5298426151 9049524311 10596852302 18099048622 37088983057 63346670177 74177966114 126693340354 259622881399 443426691239 519245762798 886853382478 1022596247143 2045192494286 7158173730001 14316347460002 50107216110007 100214432220014