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10135304120 = 2351793715907
BaseRepresentation
bin10010111000001110…
…00111011110111000
3222011100100210111002
421130013013132320
5131224114212440
64353414424132
7506106443414
oct113407073670
928140323432
1010135304120
114331129aa7
121b6a362048
13c56a42296
146c2103d44
153e4bd8115
hex25c1c77b8

10135304120 has 64 divisors (see below), whose sum is σ = 24173160480. Its totient is φ = 3811332096.

The previous prime is 10135304119. The next prime is 10135304161. The reversal of 10135304120 is 2140353101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10135304092 and 10135304101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629207 + ... + 645113.

Almost surely, 210135304120 is an apocalyptic number.

10135304120 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 10135304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086580240).

10135304120 is an abundant number, since it is smaller than the sum of its proper divisors (14037856360).

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

10135304120 is a wasteful number, since it uses less digits than its factorization.

10135304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10135304120 its reverse (2140353101), we get a palindrome (12275657221).

The spelling of 10135304120 in words is "ten billion, one hundred thirty-five million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 937 1874 3748 4685 7496 9370 15907 15929 18740 31814 31858 37480 63628 63716 79535 79645 127256 127432 159070 159290 270419 318140 318580 540838 636280 637160 1081676 1352095 2163352 2704190 5408380 10816760 14904859 29809718 59619436 74524295 119238872 149048590 253382603 298097180 506765206 596194360 1013530412 1266913015 2027060824 2533826030 5067652060 10135304120