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101132210232 = 23331273686651
BaseRepresentation
bin101111000101111110…
…0110001000000111000
3100200001002002120201000
41132023330301000320
53124104321211412
6114243130125000
710210102413654
oct1361374610070
9320032076630
10101132210232
1139987550439
1217724b80760
1396c925a421
144c75585a64
15296d8344dc
hex178bf31038

101132210232 has 64 divisors (see below), whose sum is σ = 283134873600. Its totient is φ = 33445288800.

The previous prime is 101132210227. The next prime is 101132210261. The reversal of 101132210232 is 232012231101.

101132210232 is a `hidden beast` number, since 101 + 1 + 322 + 10 + 232 = 666.

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

It is a congruent number.

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, 1815894 + ... + 1870757.

It is an arithmetic number, because the mean of its divisors is an integer number (4423982400).

Almost surely, 2101132210232 is an apocalyptic number.

101132210232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101132210232 is an abundant number, since it is smaller than the sum of its proper divisors (182002663368).

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

101132210232 is a wasteful number, since it uses less digits than its factorization.

101132210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686793 (or 3686783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101132210232 its reverse (232012231101), we get a palindrome (333144441333).

It can be divided in two parts, 101132 and 210232, that added together give a square (311364 = 5582).

The spelling of 101132210232 in words is "one hundred one billion, one hundred thirty-two million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 27432 3686651 7373302 11059953 14746604 22119906 29493208 33179859 44239812 66359718 88479624 99539577 132719436 199079154 265438872 398158308 468204677 796316616 936409354 1404614031 1872818708 2809228062 3745637416 4213842093 5618456124 8427684186 11236912248 12641526279 16855368372 25283052558 33710736744 50566105116 101132210232