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132123101133103 = 23374122932095153
BaseRepresentation
bin11110000010101001001110…
…100000100111100100101111
3122022210211211002100122002221
4132002221032200213210233
5114304201102342224403
61145000303103300211
736554402420446363
oct3602511640474457
9568724732318087
10132123101133103
113910a102169353
121299a4132aa667
135895202637602
14248ab13ba52a3
151041c598eadbd
hex782a4e82792f

132123101133103 has 64 divisors (see below), whose sum is σ = 145754311852800. Its totient is φ = 119379631472640.

The previous prime is 132123101133071. The next prime is 132123101133119. The reversal of 132123101133103 is 301331101321231.

It is not a de Polignac number, because 132123101133103 - 25 = 132123101133071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123101133193) 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, 25640032575 + ... + 25640037727.

It is an arithmetic number, because the mean of its divisors is an integer number (2277411122700).

Almost surely, 2132123101133103 is an apocalyptic number.

132123101133103 is a deficient number, since it is larger than the sum of its proper divisors (13631210719697).

132123101133103 is a wasteful number, since it uses less digits than its factorization.

132123101133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 132123101133103 its reverse (301331101321231), we get a palindrome (433454202454334).

The spelling of 132123101133103 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred one million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 23 37 41 229 851 943 1517 3209 5153 5267 8473 9389 34891 73807 118519 118733 131569 190661 194879 211273 215947 347393 734861 1180037 2730859 3026087 4385203 4859279 4868053 7817101 7990039 16535977 16901803 27140851 27189857 30129301 43661369 48381517 111965219 179793323 380327471 611831149 625366711 677975057 692973923 1004211487 1112774891 1114784137 1790116129 3786738733 14072116427 15593426311 25085077109 25640035151 41172670967 87094990859 140109333121 155256288053 576956773507 3222514661783 3570894625219 5744482657961 132123101133103