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2136116312 = 2311139917351
BaseRepresentation
bin111111101010010…
…1000110001011000
312111212110221200222
41333110220301120
513333321210222
6551544215212
7103635455231
oct17724506130
95455427628
102136116312
119a6866890
124b746a508
13280724a65
141639ac088
15c77ed542
hex7f528c58

2136116312 has 32 divisors (see below), whose sum is σ = 4372704000. Its totient is φ = 970212000.

The previous prime is 2136116309. The next prime is 2136116321.

2136116312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114437 + ... + 131787.

It is an arithmetic number, because the mean of its divisors is an integer number (136647000).

Almost surely, 22136116312 is an apocalyptic number.

2136116312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2136116312 is an abundant number, since it is smaller than the sum of its proper divisors (2236587688).

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

2136116312 is a wasteful number, since it uses less digits than its factorization.

2136116312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18763 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 2136116312 is about 46218.1383441609. The cubic root of 2136116312 is about 1287.8787146445.

It can be divided in two parts, 21361 and 16312, that added together give a palindrome (37673).

The spelling of 2136116312 in words is "two billion, one hundred thirty-six million, one hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 1399 2798 5596 11192 15389 17351 30778 34702 61556 69404 123112 138808 190861 381722 763444 1526888 24274049 48548098 97096196 194192392 267014539 534029078 1068058156 2136116312