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11295231700 = 22521633471997
BaseRepresentation
bin10101000010011111…
…11000111011010100
31002011011222012222211
422201033320323110
5141113034403300
65104452003204
7546622612444
oct124117707324
932134865884
1011295231700
114876955835
122232900504
1310b0145c6c
147921a2124
1546195a4ba
hex2a13f8ed4

11295231700 has 72 divisors (see below), whose sum is σ = 24744478752. Its totient is φ = 4475191680.

The previous prime is 11295231679. The next prime is 11295231751. The reversal of 11295231700 is 713259211.

It is a congruent number.

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, 5655102 + ... + 5657098.

It is an arithmetic number, because the mean of its divisors is an integer number (343673316).

Almost surely, 211295231700 is an apocalyptic number.

11295231700 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 11295231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372239376).

11295231700 is an abundant number, since it is smaller than the sum of its proper divisors (13449247052).

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

11295231700 is a wasteful number, since it uses less digits than its factorization.

11295231700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 11295231700 in words is "eleven billion, two hundred ninety-five million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 347 652 694 815 1388 1630 1735 1997 3260 3470 3994 4075 6940 7988 8150 8675 9985 16300 17350 19970 34700 39940 49925 56561 99850 113122 199700 226244 282805 325511 565610 651022 692959 1131220 1302044 1385918 1414025 1627555 2771836 2828050 3255110 3464795 5656100 6510220 6929590 8137775 13859180 16275550 17323975 32551100 34647950 69295900 112952317 225904634 451809268 564761585 1129523170 2259046340 2823807925 5647615850 11295231700