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64131553105100 = 225213172901880231
BaseRepresentation
bin11101001010011110010100…
…11100010001010011001100
322102001220202012110101012022
432211033022130101103030
531401212410043330400
6344221343452025312
716336231446043235
oct1645171234212314
9272056665411168
1064131553105100
1119486047904738
12723915b462238
1329a276c245540
1411b9dab50a08c
1576331ee0ab85
hex3a53ca7114cc

64131553105100 has 72 divisors (see below), whose sum is σ = 158686418606688. Its totient is φ = 22286440166400.

The previous prime is 64131553105099. The next prime is 64131553105141. The reversal of 64131553105100 is 150135513146.

It is a super-2 number, since 2×641315531051002 (a number of 28 digits) contains 22 as substring.

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, 1450918016 + ... + 1450962215.

It is an arithmetic number, because the mean of its divisors is an integer number (2203978036204).

Almost surely, 264131553105100 is an apocalyptic number.

It is an amenable number.

64131553105100 is an abundant number, since it is smaller than the sum of its proper divisors (94554865501588).

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

64131553105100 is a wasteful number, since it uses less digits than its factorization.

64131553105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901880275 (or 2901880268 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 64131553105100 its reverse (150135513146), we get a palindrome (64281688618246).

The spelling of 64131553105100 in words is "sixty-four trillion, one hundred thirty-one billion, five hundred fifty-three million, one hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 2901880231 5803760462 11607520924 14509401155 29018802310 37724443003 49331963927 58037604620 72547005775 75448886006 98663927854 145094011550 150897772012 188622215015 197327855708 246659819635 290188023100 377244430030 493319639270 641315531051 754488860060 943111075075 986639278540 1233299098175 1282631062102 1886222150150 2466598196350 2565262124204 3206577655255 3772444300300 4933196392700 6413155310510 12826310621020 16032888276275 32065776552550 64131553105100