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233432403252113 = 1325326061449509
BaseRepresentation
bin110101000100111000110111…
…011110011001001110010001
31010121111220211112121020000002
4311010320313132121032101
5221044024030213031423
62144245210550335345
7100111635364200662
oct6504706736311621
91117456745536002
10233432403252113
116841914307a37a
122222091b65a555
13a033772ab8400
14419028d73d369
151bec1a4a99228
hexd44e37799391

233432403252113 has 12 divisors (see below), whose sum is σ = 257539244057820. Its totient is φ = 211410478408896.

The previous prime is 233432403252109. The next prime is 233432403252157. The reversal of 233432403252113 is 311252304234332.

It can be written as a sum of positive squares in 6 ways, for example, as 28019787130384 + 205412616121729 = 5293372^2 + 14332223^2 .

It is not a de Polignac number, because 233432403252113 - 22 = 233432403252109 is a prime.

It is a super-4 number, since 4×2334324032521134 (a number of 59 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233432403252913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13030715798 + ... + 13030733711.

It is an arithmetic number, because the mean of its divisors is an integer number (21461603671485).

Almost surely, 2233432403252113 is an apocalyptic number.

It is an amenable number.

233432403252113 is a deficient number, since it is larger than the sum of its proper divisors (24106840805707).

233432403252113 is a wasteful number, since it uses less digits than its factorization.

233432403252113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26061449588 (or 26061449575 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

Adding to 233432403252113 its reverse (311252304234332), we get a palindrome (544684707486445).

The spelling of 233432403252113 in words is "two hundred thirty-three trillion, four hundred thirty-two billion, four hundred three million, two hundred fifty-two thousand, one hundred thirteen".

Divisors: 1 13 53 169 689 8957 26061449509 338798843617 1381256823977 4404384967021 17956338711701 233432403252113