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132400211234031 = 321367311091516199
BaseRepresentation
bin11110000110101011010011…
…100011110000110011101111
3122100210100002100220022100100
4132012223103203300303233
5114323221113033442111
61145331452314402143
736613412442444306
oct3606532343606357
9570710070808310
10132400211234031
1139206683636694
1212a2406aa30353
1358b5395146330
14249a2c0cb943d
151049077797756
hex786ad38f0cef

132400211234031 has 48 divisors (see below), whose sum is σ = 206448035976000. Its totient is φ = 81282574227456.

The previous prime is 132400211234017. The next prime is 132400211234099. The reversal of 132400211234031 is 130432112004231.

132400211234031 is a `hidden beast` number, since 1 + 3 + 2 + 40 + 0 + 211 + 2 + 3 + 403 + 1 = 666.

It is not a de Polignac number, because 132400211234031 - 29 = 132400211233519 is a prime.

It is a super-2 number, since 2×1324002112340312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132400211233986 and 132400211234004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400211224031) 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, 86565670 + ... + 88081868.

It is an arithmetic number, because the mean of its divisors is an integer number (4301000749500).

Almost surely, 2132400211234031 is an apocalyptic number.

132400211234031 is a deficient number, since it is larger than the sum of its proper divisors (74047824741969).

132400211234031 is a wasteful number, since it uses less digits than its factorization.

132400211234031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518000 (or 1517997 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132400211234031 its reverse (130432112004231), we get a palindrome (262832323238262).

The spelling of 132400211234031 in words is "one hundred thirty-two trillion, four hundred billion, two hundred eleven million, two hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 13 39 117 673 1109 2019 3327 6057 8749 9981 14417 26247 43251 78741 129753 746357 1516199 2239071 4548597 6717213 9702641 13645791 19710587 29107923 59131761 87323769 177395283 1020401927 1681464691 3061205781 5044394073 9183617343 13265225051 15133182219 21859040983 39795675153 65577122949 119387025459 196731368847 1131625737043 3394877211129 10184631633387 14711134581559 44133403744677 132400211234031