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122140264463 = 7172379564881
BaseRepresentation
bin111000111000000100…
…0001000100000001111
3102200021011110022101122
41301300020020200033
54000120401430323
6132035505431155
711552515055330
oct1616010104017
9380234408348
10122140264463
1147887aa4528
121b80863b4bb
13b696732249
145ca96b4287
15329cd22ec8
hex1c7020880f

122140264463 has 32 divisors (see below), whose sum is σ = 156178575360. Its totient is φ = 93056071680.

The previous prime is 122140264459. The next prime is 122140264489. The reversal of 122140264463 is 364462041221.

It is not a de Polignac number, because 122140264463 - 22 = 122140264459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140264963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66218 + ... + 498663.

It is an arithmetic number, because the mean of its divisors is an integer number (4880580480).

Almost surely, 2122140264463 is an apocalyptic number.

122140264463 is a deficient number, since it is larger than the sum of its proper divisors (34038310897).

122140264463 is a wasteful number, since it uses less digits than its factorization.

122140264463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565007.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 122140264463 in words is "one hundred twenty-two billion, one hundred forty million, two hundred sixty-four thousand, four hundred sixty-three".

Divisors: 1 7 17 23 79 119 161 391 553 1343 1817 2737 9401 12719 30889 216223 564881 3954167 9602977 12992263 44625599 67220839 90945841 220868471 312379193 758635183 1026388777 1546079297 5310446281 7184721439 17448609209 122140264463