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1201314113010 = 2325112263419443
BaseRepresentation
bin10001011110110011111…
…001101010010111110010
311020211210122102222010200
4101132303321222113302
5124140242403104020
62315513122340030
7152535453323214
oct21366371522762
94224718388120
101201314113010
11423524553700
121749a57ba616
138938b92467b
1442202c805b4
15213b0267590
hex117b3e6a5f2

1201314113010 has 144 divisors (see below), whose sum is σ = 3446239148352. Its totient is φ = 290119642560.

The previous prime is 1201314113009. The next prime is 1201314113047. The reversal of 1201314113010 is 103114131021.

It is a happy number.

1201314113010 is a `hidden beast` number, since 120 + 131 + 411 + 3 + 0 + 1 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2654349 + ... + 3073791.

It is an arithmetic number, because the mean of its divisors is an integer number (23932216308).

Almost surely, 21201314113010 is an apocalyptic number.

1201314113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201314113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723119574176).

1201314113010 is an abundant number, since it is smaller than the sum of its proper divisors (2244925035342).

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

1201314113010 is a wasteful number, since it uses less digits than its factorization.

1201314113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419741 (or 419727 counting only the distinct ones).

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

Adding to 1201314113010 its reverse (103114131021), we get a palindrome (1304428244031).

The spelling of 1201314113010 in words is "one trillion, two hundred one billion, three hundred fourteen million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 263 330 363 495 526 605 726 789 990 1089 1210 1315 1578 1815 2178 2367 2630 2893 3630 3945 4734 5445 5786 7890 8679 10890 11835 14465 17358 23670 26037 28930 31823 43395 52074 63646 86790 95469 130185 159115 190938 260370 286407 318230 419443 477345 572814 838886 954690 1258329 1432035 2097215 2516658 2864070 3774987 4194430 4613873 6291645 7549974 9227746 12583290 13841619 18874935 23069365 27683238 37749870 41524857 46138730 50752603 69208095 83049714 101505206 110313509 138416190 152257809 207624285 220627018 253763015 304515618 330940527 415248570 456773427 507526030 551567545 661881054 761289045 913546854 992821581 1103135090 1213448599 1522578090 1654702635 1985643162 2283867135 2426897198 3309405270 3640345797 4567734270 4964107905 6067242995 7280691594 9928215810 10921037391 12134485990 13347934589 18201728985 21842074782 26695869178 36403457970 40043803767 54605186955 66739672945 80087607534 109210373910 120131411301 133479345890 200219018835 240262822602 400438037670 600657056505 1201314113010