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2151135610 = 2513295231091
BaseRepresentation
bin1000000000110111…
…1011100101111010
312112220202000022021
42000031323211322
513401142314420
6553242145054
7104210231251
oct20015734572
95486660267
102151135610
11a04295028
125004b218a
13283883110
1416599b798
15c8cb87aa
hex8037b97a

2151135610 has 64 divisors (see below), whose sum is σ = 4325892480. Its totient is φ = 764709120.

The previous prime is 2151135599. The next prime is 2151135611. The reversal of 2151135610 is 165311512.

It is a happy number.

2151135610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21511356102 = 9254768825220144200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2151135611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971165 + ... + 1972255.

It is an arithmetic number, because the mean of its divisors is an integer number (67592070).

Almost surely, 22151135610 is an apocalyptic number.

2151135610 is an abundant number, since it is smaller than the sum of its proper divisors (2174756870).

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

2151135610 is a wasteful number, since it uses less digits than its factorization.

2151135610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 2151135610 is about 46380.3364584605. The cubic root of 2151135610 is about 1290.8900793864.

It can be divided in two parts, 21511 and 35610, that added together give a square (57121 = 2392).

The spelling of 2151135610 in words is "two billion, one hundred fifty-one million, one hundred thirty-five thousand, six hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 523 754 1046 1091 1885 2182 2615 3770 5230 5455 6799 10910 13598 14183 15167 28366 30334 31639 33995 63278 67990 70915 75835 141830 151670 158195 197171 316390 394342 411307 570593 822614 985855 1141186 1971710 2056535 2852965 4113070 5705930 7417709 14835418 16547197 33094394 37088545 74177090 82735985 165471970 215113561 430227122 1075567805 2151135610