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10344220100 = 2252234999013
BaseRepresentation
bin10011010001001000…
…00100010111000100
3222200220110211022222
421220210010113010
5132141110020400
64430240311512
7514224264044
oct115044042704
928626424288
1010344220100
114429051735
122008312598
13c8b0cb8c6
14701b67724
15408204185
hex2689045c4

10344220100 has 72 divisors (see below), whose sum is σ = 23472456000. Its totient is φ = 3949418880.

The previous prime is 10344220049. The next prime is 10344220127. The reversal of 10344220100 is 102244301.

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, 1143194 + ... + 1152206.

Almost surely, 210344220100 is an apocalyptic number.

10344220100 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 10344220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736228000).

10344220100 is an abundant number, since it is smaller than the sum of its proper divisors (13128235900).

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

10344220100 is a wasteful number, since it uses less digits than its factorization.

10344220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549 (or 9542 counting only the distinct ones).

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

Adding to 10344220100 its reverse (102244301), we get a palindrome (10446464401).

The spelling of 10344220100 in words is "ten billion, three hundred forty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 499 575 998 1150 1996 2300 2495 4990 9013 9980 11477 12475 18026 22954 24950 36052 45065 45908 49900 57385 90130 114770 180260 207299 225325 229540 286925 414598 450650 573850 829196 901300 1036495 1147700 2072990 4145980 4497487 5182475 8994974 10364950 17989948 20729900 22487435 44974870 89949740 103442201 112437175 206884402 224874350 413768804 449748700 517211005 1034422010 2068844020 2586055025 5172110050 10344220100