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10135412144 = 2411134429813
BaseRepresentation
bin10010111000001111…
…00001110110110000
3222011100120021122222
421130013201312300
5131224131142034
64353421020212
7506110403354
oct113407416660
928140507588
1010135412144
1143311a3180
121b6a3b4668
13c56a7c4c0
146c2131464
153e4c0a12e
hex25c1e1db0

10135412144 has 40 divisors (see below), whose sum is σ = 23070471312. Its totient is φ = 4252619520.

The previous prime is 10135412143. The next prime is 10135412191. The reversal of 10135412144 is 44121453101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10135412141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2212619 + ... + 2217194.

Almost surely, 210135412144 is an apocalyptic number.

It is an amenable number.

10135412144 is an abundant number, since it is smaller than the sum of its proper divisors (12935059168).

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

10135412144 is a wasteful number, since it uses less digits than its factorization.

10135412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429845 (or 4429839 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10135412144 its reverse (44121453101), we get a palindrome (54256865245).

The spelling of 10135412144 in words is "ten billion, one hundred thirty-five million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4429813 8859626 17719252 35438504 48727943 57587569 70877008 97455886 115175138 194911772 230350276 389823544 460700552 633463259 779647088 921401104 1266926518 2533853036 5067706072 10135412144