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132012020210231 = 71729269844316843
BaseRepresentation
bin11110000001000001110001…
…100100100001101000110111
3122022102020002200000002022102
4132001001301210201220313
5114300341104133211411
61144433252421452315
736543360632256320
oct3601016144415067
9568366080002272
10132012020210231
1139076a8a953957
121298099257109b
1358878ac209095
1424855b720b447
15103de07989d3b
hex781071921a37

132012020210231 has 64 divisors (see below), whose sum is σ = 165897930470400. Its totient is φ = 102424315262976.

The previous prime is 132012020210201. The next prime is 132012020210251.

132012020210231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132012020210231 - 214 = 132012020193847 is a prime.

It is a super-2 number, since 2×1320120202102312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012020210201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7837788896 + ... + 7837805738.

It is an arithmetic number, because the mean of its divisors is an integer number (2592155163600).

Almost surely, 2132012020210231 is an apocalyptic number.

132012020210231 is a deficient number, since it is larger than the sum of its proper divisors (33885910260169).

132012020210231 is a wasteful number, since it uses less digits than its factorization.

132012020210231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25608.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 132012020210231 in words is "one hundred thirty-two trillion, twelve billion, twenty million, two hundred ten thousand, two hundred thirty-one".

Divisors: 1 7 17 29 119 203 269 493 1883 3451 4573 7801 8443 16843 32011 54607 59101 117901 132617 143531 244847 286331 488447 928319 1004717 1713929 2004317 2271167 3419129 4162399 4530767 8303599 15898169 29136793 31715369 38609839 58125193 65863843 77023039 131392243 142205449 270268873 461046901 539161273 919745701 995438143 1119685331 2233668131 2417492633 4123958021 7837797317 15635676917 16922448431 28867706147 38253265781 70107286357 267772860467 490751004499 650305518277 1109344707649 4552138627939 7765412953543 18858860030033 132012020210231