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132220343022231 = 3732137277217937
BaseRepresentation
bin11110000100000011110010…
…100100111111001010010111
3122100011010211001010102112010
4132010003302210333022113
5114312244230303202411
61145113104222355303
736564414234043332
oct3604036244771227
9570133731112463
10132220343022231
1139147372727982
12129b523142bb33
1358a142b8c5489
1424916da7c7619
15104454b9227a6
hex7840f293f297

132220343022231 has 48 divisors (see below), whose sum is σ = 180697357812384. Its totient is φ = 85992845156352.

The previous prime is 132220343022227. The next prime is 132220343022233.

132220343022231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132220343022231 - 22 = 132220343022227 is a prime.

It is a super-2 number, since 2×1322203430222312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220343022233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606581695 + ... + 606799631.

It is an arithmetic number, because the mean of its divisors is an integer number (3764528287758).

Almost surely, 2132220343022231 is an apocalyptic number.

132220343022231 is a deficient number, since it is larger than the sum of its proper divisors (48477014790153).

132220343022231 is a wasteful number, since it uses less digits than its factorization.

132220343022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218500 (or 218427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 132220343022231 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred forty-three million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 73 137 219 277 411 831 5329 10001 15987 20221 30003 37949 60663 113847 217937 653811 730073 1476133 2190219 2770277 4428399 8310831 15909401 29857369 47728203 60368549 89572107 181105647 202230221 606690663 1161386273 2179587937 3484158819 4406904077 6538763811 8270491213 13220712231 24811473639 159109919401 321703997621 477329758203 603745858549 965111992863 1811237575647 44073447674077 132220343022231