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101233102032 = 24326911101723
BaseRepresentation
bin101111001000111110…
…1101000110011010000
3100200022002221102020100
41132101331220303100
53124311133231112
6114301132412400
710212436112106
oct1362175506320
9320262842210
10101233102032
1139a294a0997
1217752917100
139714123b0a
144c84b29c76
1529776132dc
hex1791f68cd0

101233102032 has 60 divisors (see below), whose sum is σ = 283355864064. Its totient is φ = 33739152960.

The previous prime is 101233102027. The next prime is 101233102063. The reversal of 101233102032 is 230201332101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101233101996 and 101233102014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944323 + ... + 1046045.

Almost surely, 2101233102032 is an apocalyptic number.

101233102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101233102032 is an abundant number, since it is smaller than the sum of its proper divisors (182122762032).

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

101233102032 is a wasteful number, since it uses less digits than its factorization.

101233102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108648 (or 108639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101233102032 its reverse (230201332101), we get a palindrome (331434434133).

The spelling of 101233102032 in words is "one hundred one billion, two hundred thirty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6911 13822 20733 27644 41466 55288 62199 82932 101723 110576 124398 165864 203446 248796 305169 331728 406892 497592 610338 813784 915507 995184 1220676 1627568 1831014 2441352 3662028 4882704 7324056 14648112 703007653 1406015306 2109022959 2812030612 4218045918 5624061224 6327068877 8436091836 11248122448 12654137754 16872183672 25308275508 33744367344 50616551016 101233102032