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10223103132 = 223211179144223
BaseRepresentation
bin10011000010101100…
…00010110010011100
3222101110120110002100
421201112002302130
5131414103300012
64410232325100
7511223641254
oct114126026234
928343513070
1010223103132
114376747770
121b93843790
13c6bca3468
146cda3a964
153ec77c8dc
hex261582c9c

10223103132 has 72 divisors (see below), whose sum is σ = 28348669440. Its totient is φ = 3080581920.

The previous prime is 10223103097. The next prime is 10223103179. The reversal of 10223103132 is 23130132201.

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 23 ways as a sum of consecutive naturals, for example, 1228 + ... + 142995.

It is an arithmetic number, because the mean of its divisors is an integer number (393731520).

Almost surely, 210223103132 is an apocalyptic number.

10223103132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174334720).

10223103132 is an abundant number, since it is smaller than the sum of its proper divisors (18125566308).

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

10223103132 is a wasteful number, since it uses less digits than its factorization.

10223103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144423 (or 144418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10223103132 its reverse (23130132201), we get a palindrome (33353235333).

The spelling of 10223103132 in words is "ten billion, two hundred twenty-three million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 537 716 1074 1611 1969 2148 3222 3938 5907 6444 7876 11814 17721 23628 35442 70884 144223 288446 432669 576892 865338 1298007 1586453 1730676 2596014 3172906 4759359 5192028 6345812 9518718 14278077 19037436 25815917 28556154 51631834 57112308 77447751 103263668 154895502 232343253 283975087 309791004 464686506 567950174 851925261 929373012 1135900348 1703850522 2555775783 3407701044 5111551566 10223103132