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101101113223002 = 23417092857127817
BaseRepresentation
bin10110111111001101101111…
…111100001010011101011010
3111020222011122102002212220000
4112333031233330022131122
5101222420034441114002
6555005113224313430
730203212556125014
oct2677155774123532
9436864572085800
10101101113223002
112a239817794082
12b40a0a6312876
134454a42751749
141ad746a09b1b4
15ba4d12d6961c
hex5bf36ff0a75a

101101113223002 has 80 divisors (see below), whose sum is σ = 226755055086120. Its totient is φ = 33668599491072.

The previous prime is 101101113222881. The next prime is 101101113223043. The reversal of 101101113223002 is 200322311101101.

It can be written as a sum of positive squares in 4 ways, for example, as 63094886946441 + 38006226276561 = 7943229^2 + 6164919^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790919398 + ... + 791047214.

Almost surely, 2101101113223002 is an apocalyptic number.

101101113223002 is an abundant number, since it is smaller than the sum of its proper divisors (125653941863118).

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

101101113223002 is a wasteful number, since it uses less digits than its factorization.

101101113223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132397 (or 132388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101101113223002 its reverse (200322311101101), we get a palindrome (301423424324103).

The spelling of 101101113223002 in words is "one hundred one trillion, one hundred one billion, one hundred thirteen million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1709 2857 3418 5127 5714 8571 10254 15381 17142 25713 30762 46143 51426 77139 92286 127817 138429 154278 231417 255634 276858 383451 462834 766902 1150353 2300706 3451059 4882613 6902118 9765226 10353177 14647839 20706354 29295678 43943517 87887034 131830551 218439253 263661102 365173169 395491653 436878506 655317759 730346338 790983306 1095519507 1310635518 1965953277 2191039014 3286558521 3931906554 5897859831 6573117042 9859675563 11795719662 17693579493 19719351126 29579026689 35387158986 59158053378 624080945821 1248161891642 1872242837463 3744485674926 5616728512389 11233457024778 16850185537167 33700371074334 50550556611501 101101113223002