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13022023233100 = 22527291016351277
BaseRepresentation
bin1011110101111110110100…
…0100011010111001001100
31201002220010012002200120111
42331133231010122321030
53201323100421424400
643410122422525404
72512544606113150
oct275375504327114
951086105080514
1013022023233100
1141706776a4792
121563909296864
13735c825832ab
143303aacd3060
15178aecd543ba
hexbd7ed11ae4c

13022023233100 has 144 divisors (see below), whose sum is σ = 33739004940480. Its totient is φ = 4268057472000.

The previous prime is 13022023233047. The next prime is 13022023233199. The reversal of 13022023233100 is 133232022031.

It is a super-2 number, since 2×130220232331002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125339 + ... + 5225938.

It is an arithmetic number, because the mean of its divisors is an integer number (234298645420).

Almost surely, 213022023233100 is an apocalyptic number.

13022023233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022023233100 is an abundant number, since it is smaller than the sum of its proper divisors (20716981707380).

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

13022023233100 is a wasteful number, since it uses less digits than its factorization.

13022023233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351428 (or 6351421 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13022023233100 its reverse (133232022031), we get a palindrome (13155255255131).

The spelling of 13022023233100 in words is "thirteen trillion, twenty-two billion, twenty-three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 101 116 140 145 175 202 203 290 350 404 406 505 580 700 707 725 812 1010 1015 1414 1450 2020 2030 2525 2828 2900 2929 3535 4060 5050 5075 5858 7070 10100 10150 11716 14140 14645 17675 20300 20503 29290 35350 41006 58580 70700 73225 82012 102515 146450 205030 292900 410060 512575 1025150 2050300 6351277 12702554 25405108 31756385 44458939 63512770 88917878 127025540 158781925 177835756 184187033 222294695 317563850 368374066 444589390 635127700 641478977 736748132 889178780 920935165 1111473475 1282957954 1289309231 1841870330 2222946950 2565915908 2578618462 3207394885 3683740660 4445893900 4490352839 4604675825 5157236924 6414789770 6446546155 8980705678 9209351650 12829579540 12893092310 16036974425 17961411356 18418703300 18602890333 22451764195 25786184620 32073948850 32232730775 37205780666 44903528390 64147897700 64465461550 74411561332 89807056780 93014451665 112258820975 128930923100 130220232331 186028903330 224517641950 260440464662 372057806660 449035283900 465072258325 520880929324 651101161655 930144516650 1302202323310 1860289033300 2604404646620 3255505808275 6511011616550 13022023233100