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113010323031102 = 2374177388396149
BaseRepresentation
bin11001101100100001000100…
…001010010000010000111110
3112211010200101201102101001110
4121230201010022100100332
5104303030120143443402
61040204120425422450
732542504104220350
oct3154410412202076
9484120351371043
10113010323031102
11330104551a5a32
12108121a863aa26
134b09a9b6c1593
141dc9a2bc470d0
15d0e9d037256c
hex66c84429043e

113010323031102 has 128 divisors (see below), whose sum is σ = 265254669388800. Its totient is φ = 31424427740160.

The previous prime is 113010323031079. The next prime is 113010323031107. The reversal of 113010323031102 is 201130323010311.

It is a happy number.

It is a super-2 number, since 2×1130103230311022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113010323031107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175318524 + ... + 1175414672.

It is an arithmetic number, because the mean of its divisors is an integer number (2072302104600).

Almost surely, 2113010323031102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113010323031102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132627334694400).

113010323031102 is an abundant number, since it is smaller than the sum of its proper divisors (152244346357698).

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

113010323031102 is a wasteful number, since it uses less digits than its factorization.

113010323031102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97858.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113010323031102 its reverse (201130323010311), we get a palindrome (314140646041413).

The spelling of 113010323031102 in words is "one hundred thirteen trillion, ten billion, three hundred twenty-three million, thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 773 861 883 1546 1722 1766 2319 2649 4638 5298 5411 6181 10822 12362 16233 18543 31693 32466 36203 37086 63386 72406 95079 96149 108609 190158 192298 217218 221851 253421 288447 443702 506842 576894 665553 673043 682559 760263 1331106 1346086 1365118 1520526 2019129 2047677 3942109 4038258 4095354 4777913 7884218 9555826 11826327 14333739 23652654 27594763 27984919 28667478 55189526 55969838 74323177 82784289 83954757 84899567 148646354 165568578 167909514 169799134 195894433 222969531 254698701 391788866 445939062 509397402 520262239 587683299 594296969 1040524478 1175366598 1188593938 1560786717 1782890907 3047250257 3121573434 3480882247 3565781814 6094500514 6961764494 9141750771 10442646741 18283501542 20885293482 21330751799 24366175729 42661503598 48732351458 63992255397 65627365291 73098527187 127984510794 131254730582 146197054374 196882095873 393764191746 459391557037 918783114074 1378174671111 2690721976931 2756349342222 5381443953862 8072165930793 16144331861586 18835053838517 37670107677034 56505161515551 113010323031102