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10221132132 = 2232563504299
BaseRepresentation
bin10011000010011101…
…00001100101100100
3222101022212022101100
421201032201211210
5131413102212012
64410122200100
7511201122021
oct114116414544
928338768340
1010221132132
114375620942
121b93053030
13c6b7632a3
146cd686548
153ec4dd8dc
hex2613a1964

10221132132 has 36 divisors (see below), whose sum is σ = 25882693200. Its totient is φ = 3400985712.

The previous prime is 10221132091. The next prime is 10221132133. The reversal of 10221132132 is 23123112201.

10221132132 is a `hidden beast` number, since 102 + 211 + 321 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (10221132133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231882 + ... + 272417.

It is an arithmetic number, because the mean of its divisors is an integer number (718963700).

Almost surely, 210221132132 is an apocalyptic number.

10221132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221132132 is an abundant number, since it is smaller than the sum of its proper divisors (15661561068).

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

10221132132 is a wasteful number, since it uses less digits than its factorization.

10221132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504872 (or 504867 counting only the distinct ones).

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

Adding to 10221132132 its reverse (23123112201), we get a palindrome (33344244333).

The spelling of 10221132132 in words is "ten billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 563 1126 1689 2252 3378 5067 6756 10134 20268 504299 1008598 1512897 2017196 3025794 4538691 6051588 9077382 18154764 283920337 567840674 851761011 1135681348 1703522022 2555283033 3407044044 5110566066 10221132132