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132400443300213 = 311109197271689467
BaseRepresentation
bin11110000110101011100001…
…011001000001100101110101
3122100210100200112120111022010
4132012223201121001211311
5114323222101441101323
61145331531324354433
736613421261124144
oct3606534131014565
9570710615514263
10132400443300213
1139206792630420
1212a241146a5a19
1358b5401249bba
14249a303a4775b
15104908cd37c93
hex786ae1641975

132400443300213 has 64 divisors (see below), whose sum is σ = 196056899850240. Its totient is φ = 78810927955200.

The previous prime is 132400443300163. The next prime is 132400443300263. The reversal of 132400443300213 is 312003344004231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132400443300163) and next prime (132400443300263).

It is not a de Polignac number, because 132400443300213 - 221 = 132400441203061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400443300263) 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 63 ways as a sum of consecutive naturals, for example, 191688306 + ... + 192377772.

It is an arithmetic number, because the mean of its divisors is an integer number (3063389060160).

Almost surely, 2132400443300213 is an apocalyptic number.

It is an amenable number.

132400443300213 is a deficient number, since it is larger than the sum of its proper divisors (63656456550027).

132400443300213 is a wasteful number, since it uses less digits than its factorization.

132400443300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690058.

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

Adding to 132400443300213 its reverse (312003344004231), we get a palindrome (444403787304444).

The spelling of 132400443300213 in words is "one hundred thirty-two trillion, four hundred billion, four hundred forty-three million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 11 33 109 197 271 327 591 813 1199 2167 2981 3597 6501 8943 21473 29539 53387 64419 88617 160161 236203 324929 587257 689467 708609 974787 1761771 2068401 5819183 7584137 17457549 22752411 64011013 75151903 135824999 186845557 192033039 225455709 407474997 560536671 826670933 1494074989 2055301127 2480012799 4482224967 6165903381 14804924891 20366165713 36808574729 44414774673 61098497139 110425724187 162854173801 224027822843 404894322019 488562521403 672083468529 1214682966057 4012134645461 12036403936383 44133481100071 132400443300213