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100221100092 = 22341571970219
BaseRepresentation
bin101110101010110100…
…1001010000000111100
3100120200120200101120000
41131111221022000330
53120223100200332
6114012501554300
710145400203121
oct1352551120074
9316616611500
10100221100092
113955a21a953
121750ba15990
1395b2573ab9
144bca576748
152918860b7c
hex1755a4a03c

100221100092 has 60 divisors (see below), whose sum is σ = 263666661720. Its totient is φ = 33194232864.

The previous prime is 100221100081. The next prime is 100221100139. The reversal of 100221100092 is 290001122001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 934242 + ... + 1035977.

It is an arithmetic number, because the mean of its divisors is an integer number (4394444362).

Almost surely, 2100221100092 is an apocalyptic number.

100221100092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221100092 is an abundant number, since it is smaller than the sum of its proper divisors (163445561628).

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

100221100092 is a wasteful number, since it uses less digits than its factorization.

100221100092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970392 (or 1970381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100221100092 its reverse (290001122001), we get a palindrome (390222222093).

The spelling of 100221100092 in words is "one hundred billion, two hundred twenty-one million, one hundred thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 4239 5652 8478 12717 16956 25434 50868 1970219 3940438 5910657 7880876 11821314 17731971 23642628 35463942 53195913 70927884 106391826 159587739 212783652 309324383 319175478 618648766 638350956 927973149 1237297532 1855946298 2783919447 3711892596 5567838894 8351758341 11135677788 16703516682 25055275023 33407033364 50110550046 100221100092