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10232044100 = 22522112392029
BaseRepresentation
bin10011000011110000…
…01001101001000100
3222102002101200210022
421201320021221010
5131423400402400
64411152114312
7511362640235
oct114170115104
928362350708
1010232044100
1143807a41a3
121b96835998
13c70ab3c85
146d0cc708c
153ed446b85
hex261e09a44

10232044100 has 72 divisors (see below), whose sum is σ = 22413148800. Its totient is φ = 4054377600.

The previous prime is 10232044079. The next prime is 10232044111. The reversal of 10232044100 is 144023201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041886 + ... + 5043914.

Almost surely, 210232044100 is an apocalyptic number.

10232044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206574400).

10232044100 is an abundant number, since it is smaller than the sum of its proper divisors (12181104700).

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

10232044100 is a wasteful number, since it uses less digits than its factorization.

10232044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10232044100 its reverse (144023201), we get a palindrome (10376067301).

The spelling of 10232044100 in words is "ten billion, two hundred thirty-two million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 239 422 478 844 956 1055 1195 2029 2110 2390 4058 4220 4780 5275 5975 8116 10145 10550 11950 20290 21100 23900 40580 50429 50725 100858 101450 201716 202900 252145 428119 484931 504290 856238 969862 1008580 1260725 1712476 1939724 2140595 2424655 2521450 4281190 4849310 5042900 8562380 9698620 10702975 12123275 21405950 24246550 42811900 48493100 102320441 204640882 409281764 511602205 1023204410 2046408820 2558011025 5116022050 10232044100