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132202202231 = 11179129751767
BaseRepresentation
bin111101100011111011…
…1011000010001110111
3110122020101202201011102
41323013313120101313
54131222230432411
6140422144000315
712360044115011
oct1730767302167
9418211681142
10132202202231
1151080773280
122175630009b
13c60b1c7688
146581b5b1b1
15368b367d3b
hex1ec7dd8477

132202202231 has 16 divisors (see below), whose sum is σ = 145140906240. Its totient is φ = 119417950080.

The previous prime is 132202202221. The next prime is 132202202263.

It is a happy number.

132202202231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132202202231 - 214 = 132202185847 is a prime.

It is a super-2 number, since 2×1322022022312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527910 + ... + 2579676.

It is an arithmetic number, because the mean of its divisors is an integer number (9071306640).

Almost surely, 2132202202231 is an apocalyptic number.

132202202231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132202202231 is a deficient number, since it is larger than the sum of its proper divisors (12938704009).

132202202231 is a wasteful number, since it uses less digits than its factorization.

132202202231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53254.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 132202 and 202231, that added together give a palindrome (334433).

The spelling of 132202202231 in words is "one hundred thirty-two billion, two hundred two million, two hundred two thousand, two hundred thirty-one".

Divisors: 1 11 179 1297 1969 14267 51767 232163 569437 2553793 9266293 67141799 101929223 738559789 12018382021 132202202231