Search a number
-
+
113535096370033 = 1337260891047701
BaseRepresentation
bin11001110100001001110011…
…000101101011001101110001
3112212222211221002001002120111
4121310021303011223031301
5104340124334132320113
61041245145255341321
732625432346052662
oct3164116305531561
9485884832032514
10113535096370033
11331a2a67057658
1210897a42081841
134b47410115290
1420071b1291369
15d1d495d0413d
hex67427316b371

113535096370033 has 24 divisors (see below), whose sum is σ = 125683191035640. Its totient is φ = 101952307238400.

The previous prime is 113535096370027. The next prime is 113535096370049. The reversal of 113535096370033 is 330073690535311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27140432283904 + 86394664086129 = 5209648^2 + 9294873^2 .

It is not a de Polignac number, because 113535096370033 - 229 = 113534559499121 is a prime.

It is a super-3 number, since 3×1135350963700333 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113535096377033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107842083 + ... + 108889783.

It is an arithmetic number, because the mean of its divisors is an integer number (5236799626485).

Almost surely, 2113535096370033 is an apocalyptic number.

113535096370033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113535096370033 is a deficient number, since it is larger than the sum of its proper divisors (12148094665607).

113535096370033 is a wasteful number, since it uses less digits than its factorization.

113535096370033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053877 (or 1053840 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 49.

The spelling of 113535096370033 in words is "one hundred thirteen trillion, five hundred thirty-five billion, ninety-six million, three hundred seventy thousand, thirty-three".

Divisors: 1 13 37 481 1369 6089 17797 79157 225293 1047701 2928809 8335841 13620113 38764937 108365933 503944181 1434302669 6379451389 18645934697 82932868057 236039701393 3068516118109 8733468951541 113535096370033