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13310101030032 = 2433233473860471
BaseRepresentation
bin1100000110101111111111…
…0110000000010010010000
31202010102200211022001022000
43001223333312000102100
53221033041330430112
644150324225514000
72542423466021142
oct301537766002220
952112624261260
1013310101030032
1142718670463a4
1215ab705aa2900
137571a23b8a71
143402d88a8c92
1518135da0d7dc
hexc1affd80490

13310101030032 has 160 divisors (see below), whose sum is σ = 39980901058560. Its totient is φ = 4231569260160.

The previous prime is 13310101030013. The next prime is 13310101030069. The reversal of 13310101030032 is 23003010101331.

It is a happy number.

13310101030032 is a `hidden beast` number, since 1 + 3 + 310 + 10 + 10 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13310101029987 and 13310101030014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517557 + ... + 5378027.

It is an arithmetic number, because the mean of its divisors is an integer number (249880631616).

Almost surely, 213310101030032 is an apocalyptic number.

13310101030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310101030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990450529280).

13310101030032 is an abundant number, since it is smaller than the sum of its proper divisors (26670800028528).

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

13310101030032 is a wasteful number, since it uses less digits than its factorization.

13310101030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860858 (or 3860846 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310101030032 its reverse (23003010101331), we get a palindrome (36313111131363).

The spelling of 13310101030032 in words is "thirteen trillion, three hundred ten billion, one hundred one million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 347 368 414 432 552 621 694 828 1041 1104 1242 1388 1656 2082 2484 2776 3123 3312 4164 4968 5552 6246 7981 8328 9369 9936 12492 15962 16656 18738 23943 24984 31924 37476 47886 49968 63848 71829 74952 95772 127696 143658 149904 191544 215487 287316 383088 430974 574632 861948 1149264 1723896 3447792 3860471 7720942 11581413 15441884 23162826 30883768 34744239 46325652 61767536 69488478 88790833 92651304 104232717 138976956 177581666 185302608 208465434 266372499 277953912 355163332 416930868 532744998 555907824 710326664 799117497 833861736 1065489996 1339583437 1420653328 1598234994 1667723472 2130979992 2397352491 2679166874 3196469988 4018750311 4261959984 4794704982 5358333748 6392939976 8037500622 9589409964 10716667496 12056250933 12785879952 16075001244 19178819928 21433334992 24112501866 30810419051 32150002488 36168752799 38357639856 48225003732 61620838102 64300004976 72337505598 92431257153 96450007464 123241676204 144675011196 184862514306 192900014928 246483352408 277293771459 289350022392 369725028612 492966704816 554587542918 578700044784 739450057224 831881314377 1109175085836 1478900114448 1663762628754 2218350171672 3327525257508 4436700343344 6655050515016 13310101030032