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101232102132 = 2233732732753
BaseRepresentation
bin101111001000111100…
…1110100101011110100
3100200022001001121122000
41132101321310223310
53124310404232012
6114301055135300
710212424446000
oct1362171645364
9320261047560
10101232102132
1139a28978727
1217752514530
139713b63965
144c84949700
1529774b6ddc
hex1791e74af4

101232102132 has 96 divisors (see below), whose sum is σ = 306068448000. Its totient is φ = 28923447168.

The previous prime is 101232102131. The next prime is 101232102133. The reversal of 101232102132 is 231201232101.

It is an interprime number because it is at equal distance from previous prime (101232102131) and next prime (101232102133).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232102131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329333 + ... + 1403420.

It is an arithmetic number, because the mean of its divisors is an integer number (3188213000).

Almost surely, 2101232102132 is an apocalyptic number.

101232102132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101232102132 is an abundant number, since it is smaller than the sum of its proper divisors (204836345868).

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

101232102132 is a wasteful number, since it uses less digits than its factorization.

101232102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732787 (or 2732765 counting only the distinct ones).

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

Adding to 101232102132 its reverse (231201232101), we get a palindrome (332433334233).

The spelling of 101232102132 in words is "one hundred one billion, two hundred thirty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044 2732753 5465506 8198259 10931012 16396518 19129271 24594777 32793036 38258542 49189554 57387813 73784331 76517084 98379108 114775626 133904897 147568662 172163439 229551252 267809794 295137324 344326878 401714691 516490317 535619588 688653756 803429382 937334279 1032980634 1205144073 1606858764 1874668558 2065961268 2410288146 2812002837 3615432219 3749337116 4820576292 5624005674 7230864438 8436008511 11248011348 14461728876 16872017022 25308025533 33744034044 50616051066 101232102132