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12100333313 = 233257397509
BaseRepresentation
bin10110100010011110…
…00110111100000001
31011020021220121210002
423101033012330001
5144240141131223
65320412045345
7605600064455
oct132117067401
934207817702
1012100333313
11514a360572
122418463855
1311aab93c53
1482b098665
154ac48de28
hex2d13c6f01

12100333313 has 16 divisors (see below), whose sum is σ = 12254308560. Its totient is φ = 11947769856.

The previous prime is 12100333309. The next prime is 12100333319. The reversal of 12100333313 is 31333300121.

It can be written as a sum of positive squares in 8 ways, for example, as 2078721649 + 10021611664 = 45593^2 + 100108^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100333313 - 22 = 12100333309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100333319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23772503 + ... + 23773011.

It is an arithmetic number, because the mean of its divisors is an integer number (765894285).

Almost surely, 212100333313 is an apocalyptic number.

It is an amenable number.

12100333313 is a deficient number, since it is larger than the sum of its proper divisors (153975247).

12100333313 is a wasteful number, since it uses less digits than its factorization.

12100333313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12100333313 its reverse (31333300121), we get a palindrome (43433633434).

The spelling of 12100333313 in words is "twelve billion, one hundred million, three hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 233 257 397 509 59881 92501 102029 118597 130813 202073 23772757 30479429 47083009 51932761 12100333313