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10234401100 = 22527111329143
BaseRepresentation
bin10011000100000010…
…01001000101001100
3222102020211102222121
421202001021011030
5131430001313400
64411314422324
7511421655040
oct114201110514
928366742877
1010234401100
114382064030
121b975919a4
13c7142aa51
146d133c020
153ed76021a
hex26204914c

10234401100 has 72 divisors (see below), whose sum is σ = 27688727808. Its totient is φ = 3189940800.

The previous prime is 10234401097. The next prime is 10234401157. The reversal of 10234401100 is 110443201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656872 + ... + 672271.

It is an arithmetic number, because the mean of its divisors is an integer number (384565664).

Almost surely, 210234401100 is an apocalyptic number.

10234401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234401100 is an abundant number, since it is smaller than the sum of its proper divisors (17454326708).

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

10234401100 is a wasteful number, since it uses less digits than its factorization.

10234401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329175 (or 1329168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10234401100 its reverse (110443201), we get a palindrome (10344844301).

The spelling of 10234401100 in words is "ten billion, two hundred thirty-four million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1329143 2658286 5316572 6645715 9304001 13291430 14620573 18608002 26582860 29241146 33228575 37216004 46520005 58482292 66457150 73102865 93040010 102344011 132914300 146205730 186080020 204688022 232600025 292411460 365514325 409376044 465200050 511720055 731028650 930400100 1023440110 1462057300 2046880220 2558600275 5117200550 10234401100