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10214232132 = 22313127951193
BaseRepresentation
bin10011000001101000…
…01101000001000100
3222100211212202100210
421200310031001010
5131404320412012
64405314235420
7511055353266
oct114064150104
928324782323
1010214232132
114371738865
121b90885b70
13c6a1b8750
146cc7abb36
153ebac923c
hex260d0d044

10214232132 has 48 divisors (see below), whose sum is σ = 25687101440. Its totient is φ = 3140322048.

The previous prime is 10214232121. The next prime is 10214232151. The reversal of 10214232132 is 23123241201.

It is a junction number, because it is equal to n+sod(n) for n = 10214232099 and 10214232108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173928 + ... + 225120.

Almost surely, 210214232132 is an apocalyptic number.

10214232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10214232132 is an abundant number, since it is smaller than the sum of its proper divisors (15472869308).

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

10214232132 is a wasteful number, since it uses less digits than its factorization.

10214232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52492 (or 52490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10214232132 its reverse (23123241201), we get a palindrome (33337473333).

The spelling of 10214232132 in words is "ten billion, two hundred fourteen million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1279 2558 3837 5116 7674 15348 16627 33254 49881 51193 66508 99762 102386 153579 199524 204772 307158 614316 665509 1331018 1996527 2662036 3993054 7986108 65475847 130951694 196427541 261903388 392855082 785710164 851186011 1702372022 2553558033 3404744044 5107116066 10214232132