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12434311201 = 134212271937
BaseRepresentation
bin10111001010010010…
…01000100000100001
31012002120100110022111
423211021020200201
5200431140424301
65413502235321
7620063621104
oct134511104041
935076313274
1012434311201
115300932054
1224b0285b41
13123212a4c0
1485d59473b
154cb960551
hex2e5248821

12434311201 has 8 divisors (see below), whose sum is σ = 13422609704. Its totient is φ = 11450557440.

The previous prime is 12434311199. The next prime is 12434311217. The reversal of 12434311201 is 10211343421.

It can be written as a sum of positive squares in 4 ways, for example, as 262926225 + 12171384976 = 16215^2 + 110324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12434311201 - 21 = 12434311199 is a prime.

It is a super-2 number, since 2×124343112012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12434311261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130496 + ... + 1141441.

It is an arithmetic number, because the mean of its divisors is an integer number (1677826213).

Almost surely, 212434311201 is an apocalyptic number.

It is an amenable number.

12434311201 is a deficient number, since it is larger than the sum of its proper divisors (988298503).

12434311201 is a wasteful number, since it uses less digits than its factorization.

12434311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272371.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12434311201 its reverse (10211343421), we get a palindrome (22645654622).

The spelling of 12434311201 in words is "twelve billion, four hundred thirty-four million, three hundred eleven thousand, two hundred one".

Divisors: 1 13 421 5473 2271937 29535181 956485477 12434311201