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11515452102 = 2337115095441
BaseRepresentation
bin10101011100101111…
…11101101011000110
31002201112100120121000
422232113331223012
5142040423431402
65142400034130
7555235504440
oct125627755306
932645316530
1011515452102
11497a199670
122294602946
13111695caab
147b3529490
15475e5ac1c
hex2ae5fdac6

11515452102 has 128 divisors (see below), whose sum is σ = 31972838400. Its totient is φ = 2984601600.

The previous prime is 11515452089. The next prime is 11515452131. The reversal of 11515452102 is 20125451511.

It is a happy number.

11515452102 is a `hidden beast` number, since 1 + 1 + 515 + 45 + 2 + 102 = 666.

It is a super-2 number, since 2×115154521022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2113702 + ... + 2119142.

It is an arithmetic number, because the mean of its divisors is an integer number (249787800).

Almost surely, 211515452102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11515452102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986419200).

11515452102 is an abundant number, since it is smaller than the sum of its proper divisors (20457386298).

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

11515452102 is a wasteful number, since it uses less digits than its factorization.

11515452102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

It can be divided in two parts, 1151 and 5452102, that added together give a triangular number (5453253 = T3302).

The spelling of 11515452102 in words is "eleven billion, five hundred fifteen million, four hundred fifty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 509 594 693 1018 1386 1527 2079 3054 3563 4158 4581 5441 5599 7126 9162 10689 10882 11198 13743 16323 16797 21378 27486 32067 32646 33594 38087 39193 48969 50391 59851 64134 76174 78386 96201 97938 100782 114261 117579 119702 146907 151173 179553 192402 228522 235158 293814 302346 342783 352737 359106 418957 538659 685566 705474 837914 1028349 1058211 1077318 1256871 1615977 2056698 2116422 2513742 2769469 3231954 3770613 5538938 7541226 8308407 11311839 16616814 19386283 22623678 24925221 30464159 38772566 49850442 58158849 60928318 74775663 91392477 116317698 149551326 174476547 182784954 213249113 274177431 348953094 426498226 523429641 548354862 639747339 822532293 1046859282 1279494678 1645064586 1919242017 3838484034 5757726051 11515452102