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13322931132 = 22373121511093
BaseRepresentation
bin11000110100001101…
…11100101110111100
31021101111110000200210
430122012330232330
5204241132244012
610042004352420
7651104021550
oct143206745674
937344400623
1013322931132
1157174a1395
1226b99a5710
13134426b104
149055cb860
1552e99023c
hex31a1bcbbc

13322931132 has 144 divisors (see below), whose sum is σ = 36987772416. Its totient is φ = 3656016000.

The previous prime is 13322931091. The next prime is 13322931203. The reversal of 13322931132 is 23113922331.

It is a self number, because there is not a number n which added to its sum of digits gives 13322931132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12188778 + ... + 12189870.

Almost surely, 213322931132 is an apocalyptic number.

13322931132 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 13322931132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493886208).

13322931132 is an abundant number, since it is smaller than the sum of its proper divisors (23664841284).

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

13322931132 is a wasteful number, since it uses less digits than its factorization.

13322931132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1287 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The spelling of 13322931132 in words is "thirteen billion, three hundred twenty-two million, nine hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 151 186 217 302 372 434 453 604 651 868 906 961 1057 1093 1302 1812 1922 2114 2186 2604 2883 3171 3279 3844 4228 4372 4681 5766 6342 6558 6727 7651 9362 11532 12684 13116 13454 14043 15302 18724 20181 22953 26908 28086 30604 32767 33883 40362 45906 56172 65534 67766 80724 91812 98301 101649 131068 135532 145111 165043 196602 203298 237181 290222 330086 393204 406596 435333 474362 495129 580444 660172 711543 870666 948724 990258 1015777 1050373 1155301 1423086 1741332 1980516 2031554 2100746 2310602 2846172 3047331 3151119 3465903 4063108 4201492 4621204 5116333 6094662 6302238 6931806 7352611 10232666 12189324 12604476 13863612 14705222 15348999 20465332 22057833 29410444 30697998 35814331 44115666 61395996 71628662 88231332 107442993 143257324 158606323 214885986 317212646 429771972 475818969 634425292 951637938 1110244261 1903275876 2220488522 3330732783 4440977044 6661465566 13322931132