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132114234333201 = 31929197451389897
BaseRepresentation
bin11110000010100000111110…
…000000011101100000010001
3122022202222221010220112021120
4132002200332000131200101
5114304024422442130301
61144552235201112453
736553636613054661
oct3602407600354021
9568688833815246
10132114234333201
113910637208534a
1212998759928729
13589441b653553
14248a5123441a1
1510418db280e36
hex78283e01d811

132114234333201 has 64 divisors (see below), whose sum is σ = 192835956614400. Its totient is φ = 80135705051136.

The previous prime is 132114234333181. The next prime is 132114234333209. The reversal of 132114234333201 is 102333432411231.

It is not a de Polignac number, because 132114234333201 - 243 = 123318141310993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132114234333209) 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, 1469572885 + ... + 1469662781.

It is an arithmetic number, because the mean of its divisors is an integer number (3013061822100).

Almost surely, 2132114234333201 is an apocalyptic number.

It is an amenable number.

132114234333201 is a deficient number, since it is larger than the sum of its proper divisors (60721722281199).

132114234333201 is a wasteful number, since it uses less digits than its factorization.

132114234333201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94658.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 132114234333201 its reverse (102333432411231), we get a palindrome (234447666744432).

The spelling of 132114234333201 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty-four million, three hundred thirty-three thousand, two hundred one".

Divisors: 1 3 19 29 57 87 197 551 591 1653 3743 4513 5713 11229 13539 17139 85747 89897 108547 130877 257241 269691 325641 392631 889061 1708043 2486663 2607013 2667183 5124129 7459989 7821039 16892159 17709709 25782769 49533247 50676477 53129127 77348307 148599741 336484471 405705161 489872611 513581561 1009453413 1217115483 1469617833 1540744683 7708398059 9758049659 11765449669 23125194177 29274148977 35296349007 79923916717 223543543711 239771750151 670630631133 1518554417623 2317793584793 4555663252869 6953380754379 44038078111067 132114234333201