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102334433201 = 71113102232201
BaseRepresentation
bin101111101001110011…
…0111000011110110001
3100210010212021211120122
41133103212320132301
53134040103330301
6115002314020025
710251641221130
oct1372346703661
9323125254518
10102334433201
113a444135340
12179bb717615
13985b34c670
144d4b0d3917
1529de15d81b
hex17d39b87b1

102334433201 has 16 divisors (see below), whose sum is σ = 137400079488. Its totient is φ = 73607184000.

The previous prime is 102334433183. The next prime is 102334433287.

102334433201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102334433201 - 222 = 102330238897 is a prime.

It is a super-2 number, since 2×1023344332012 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102334433291) 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, 51115100 + ... + 51117101.

It is an arithmetic number, because the mean of its divisors is an integer number (8587504968).

Almost surely, 2102334433201 is an apocalyptic number.

102334433201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102334433201 is a deficient number, since it is larger than the sum of its proper divisors (35065646287).

102334433201 is a wasteful number, since it uses less digits than its factorization.

102334433201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102232232.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 102334 and 433201, that added together give a palindrome (535535).

The spelling of 102334433201 in words is "one hundred two billion, three hundred thirty-four million, four hundred thirty-three thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 1001 102232201 715625407 1124554211 1329018613 7871879477 9303130291 14619204743 102334433201