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132123020033301 = 31110141863946919
BaseRepresentation
bin11110000010101001001001…
…101011001111110100010101
3122022210211121102202100002120
4132002221021223033310111
5114304200421112031201
61145000251045130153
736554400414222663
oct3602511153176425
9568724542670076
10132123020033301
113910a070406920
121299a3b00b9959
1358951bb8b076b
14248ab070d3c33
151041c5272b536
hex782a49acfd15

132123020033301 has 32 divisors (see below), whose sum is σ = 194086541076480. Its totient is φ = 79279762632000.

The previous prime is 132123020033219. The next prime is 132123020033311. The reversal of 132123020033301 is 103330020321231.

It is not a de Polignac number, because 132123020033301 - 213 = 132123020025109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123020033311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139055920 + ... + 140002838.

It is an arithmetic number, because the mean of its divisors is an integer number (6065204408640).

Almost surely, 2132123020033301 is an apocalyptic number.

132123020033301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132123020033301 is a deficient number, since it is larger than the sum of its proper divisors (61963521043179).

132123020033301 is a wasteful number, since it uses less digits than its factorization.

132123020033301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988897.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132123020033301 its reverse (103330020321231), we get a palindrome (235453040354532).

The spelling of 132123020033301 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, twenty million, thirty-three thousand, three hundred one".

Divisors: 1 3 11 33 101 303 1111 3333 41863 125589 460493 946919 1381479 2840757 4228163 10416109 12684489 31248327 46509793 95638819 139529379 286916457 1052027009 3156081027 39640870097 118922610291 436049571067 1308148713201 4003727879797 12011183639391 44041006677767 132123020033301