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201313114254120 = 233511187981165479
BaseRepresentation
bin101101110001011111011100…
…101010011110101100101000
3222101210100100001202122110010
4231301133130222132230220
5202341303224222112440
61552053545025051520
760255251432314221
oct5561373452365450
9871710301678403
10201313114254120
1159165459857790
121a6b39b6786ba0
13884398c31c7ab
14379d86cb9a248
151841939484580
hexb717dca9eb28

201313114254120 has 128 divisors (see below), whose sum is σ = 659193562368000. Its totient is φ = 48777205658880.

The previous prime is 201313114254103. The next prime is 201313114254121. The reversal of 201313114254120 is 21452411313102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (201313114254121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38102460 + ... + 43063019.

It is an arithmetic number, because the mean of its divisors is an integer number (5149949706000).

Almost surely, 2201313114254120 is an apocalyptic number.

201313114254120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313114254120 is an abundant number, since it is smaller than the sum of its proper divisors (457880448113880).

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

201313114254120 is a wasteful number, since it uses less digits than its factorization.

201313114254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81167383 (or 81167379 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 201313114254120 its reverse (21452411313102), we get a palindrome (222765525567222).

The spelling of 201313114254120 in words is "two hundred one trillion, three hundred thirteen billion, one hundred fourteen million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1879 3758 5637 7516 9395 11274 15032 18790 20669 22548 28185 37580 41338 45096 56370 62007 75160 82676 103345 112740 124014 165352 206690 225480 248028 310035 413380 496056 620070 826760 1240140 2480280 81165479 162330958 243496437 324661916 405827395 486992874 649323832 811654790 892820269 973985748 1217482185 1623309580 1785640538 1947971496 2434964370 2678460807 3246619160 3571281076 4464101345 4869928740 5356921614 7142562152 8928202690 9739857480 10713843228 13392304035 17856405380 21427686456 26784608070 35712810760 53569216140 107138432280 152509935041 305019870082 457529805123 610039740164 762549675205 915059610246 1220079480328 1525099350410 1677609285451 1830119220492 2287649025615 3050198700820 3355218570902 3660238440984 4575298051230 5032827856353 6100397401640 6710437141804 8388046427255 9150596102460 10065655712706 13420874283608 16776092854510 18301192204920 20131311425412 25164139281765 33552185709020 40262622850824 50328278563530 67104371418040 100656557127060 201313114254120