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32312313130100 = 22526779307198851
BaseRepresentation
bin1110101100011010010111…
…11100100010110001110100
311020102000201122210110021212
413112031023330202301310
513213401104130130400
6152420023254300552
76543326145610253
oct726151374426164
9136360648713255
1032312313130100
11a328636422013
12375a414357758
1315050657b1003
147d9cd23ca79a
153b07b643a335
hex1d634bf22c74

32312313130100 has 144 divisors (see below), whose sum is σ = 72300169159680. Its totient is φ = 12529840752000.

The previous prime is 32312313130091. The next prime is 32312313130183. The reversal of 32312313130100 is 103131321323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162395675 + ... + 162594525.

Almost surely, 232312313130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32312313130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36150084579840).

32312313130100 is an abundant number, since it is smaller than the sum of its proper divisors (39987856029580).

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

32312313130100 is a wasteful number, since it uses less digits than its factorization.

32312313130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199318 (or 199311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 32312313130100 its reverse (103131321323), we get a palindrome (32415444451423).

The spelling of 32312313130100 in words is "thirty-two trillion, three hundred twelve billion, three hundred thirteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 79 100 134 158 268 307 316 335 395 614 670 790 1228 1340 1535 1580 1675 1975 3070 3350 3950 5293 6140 6700 7675 7900 10586 15350 20569 21172 24253 26465 30700 41138 48506 52930 82276 97012 102845 105860 121265 132325 198851 205690 242530 264650 397702 411380 485060 514225 529300 606325 795404 994255 1028450 1212650 1624951 1988510 2056900 2425300 3249902 3977020 4971275 6499804 8124755 9942550 13323017 15709229 16249510 19885100 26646034 31418458 32499020 40623775 53292068 61047257 62836916 66615085 78546145 81247550 122094514 133230170 157092290 162495100 244189028 266460340 305236285 314184580 333075425 392730725 610472570 666150850 785461450 1052518343 1220945140 1332301700 1526181425 1570922900 2105036686 3052362850 4090166219 4210073372 4822733303 5262591715 6104725700 8180332438 9645466606 10525183430 16360664876 19290933212 20450831095 21050366860 24113666515 26312958575 40901662190 48227333030 52625917150 81803324380 96454666060 102254155475 105251834300 120568332575 204508310950 241136665150 323123131301 409016621900 482273330300 646246262602 1292492525204 1615615656505 3231231313010 6462462626020 8078078282525 16156156565050 32312313130100