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101202033120132 = 223710691127021617
BaseRepresentation
bin10111000000101011101111…
…001111000001001110000100
3111021022211010200200211202210
4113000223233033001032010
5101231043230434321012
6555123323332103420
730213414503112240
oct2700535717011604
9437284120624683
10101202033120132
112a2785a540153a
12b425770164b70
134461406a031c9
141adc2c1377420
15ba776cc1123c
hex5c0aef3c1384

101202033120132 has 48 divisors (see below), whose sum is σ = 270124541402240. Its totient is φ = 28887818061312.

The previous prime is 101202033120103. The next prime is 101202033120169. The reversal of 101202033120132 is 231021330202101.

101202033120132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012020331201322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101202033120099 and 101202033120108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563421013 + ... + 563600604.

Almost surely, 2101202033120132 is an apocalyptic number.

101202033120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202033120132 is an abundant number, since it is smaller than the sum of its proper divisors (168922508282108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202033120132 is a wasteful number, since it uses less digits than its factorization.

101202033120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127022700 (or 1127022698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101202033120132 its reverse (231021330202101), we get a palindrome (332223363322233).

The spelling of 101202033120132 in words is "one hundred one trillion, two hundred two billion, thirty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1069 2138 3207 4276 6414 7483 12828 14966 22449 29932 44898 89796 1127021617 2254043234 3381064851 4508086468 6762129702 7889151319 13524259404 15778302638 23667453957 31556605276 47334907914 94669815828 1204786108573 2409572217146 3614358325719 4819144434292 7228716651438 8433502760011 14457433302876 16867005520022 25300508280033 33734011040044 50601016560066 101202033120132