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101133221232 = 24315113953259
BaseRepresentation
bin101111000110000000…
…0100111110101110000
3100200001010222221112110
41132030000213311300
53124110101034412
6114243203525320
710210114124331
oct1361400476560
9320033887473
10101133221232
1139988080a7a
1217725389840
1396c9522654
144c7576a288
15296d983d3c
hex178c027d70

101133221232 has 40 divisors (see below), whose sum is σ = 262991044480. Its totient is φ = 33487819200.

The previous prime is 101133221207. The next prime is 101133221237. The reversal of 101133221232 is 232122331101.

It is a junction number, because it is equal to n+sod(n) for n = 101133221199 and 101133221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133221237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6969382 + ... + 6983877.

It is an arithmetic number, because the mean of its divisors is an integer number (6574776112).

Almost surely, 2101133221232 is an apocalyptic number.

101133221232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101133221232 is an abundant number, since it is smaller than the sum of its proper divisors (161857823248).

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

101133221232 is a wasteful number, since it uses less digits than its factorization.

101133221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953421 (or 13953415 counting only the distinct ones).

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

Adding to 101133221232 its reverse (232122331101), we get a palindrome (333255552333).

The spelling of 101133221232 in words is "one hundred one billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 13953259 27906518 41859777 55813036 83719554 111626072 167439108 223252144 334878216 669756432 2106942109 4213884218 6320826327 8427768436 12641652654 16855536872 25283305308 33711073744 50566610616 101133221232