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1013133223200 = 25352760305549
BaseRepresentation
bin11101011111000110111…
…00100010010100100000
310120212001222220021211010
432233203130202110200
5113044344101120300
62053232121020520
7133124246210340
oct16574334422440
93525058807733
101013133223200
1136073832396a
12144428324740
13746cc144127
1437070770d20
151b549731a50
hexebe3722520

1013133223200 has 144 divisors (see below), whose sum is σ = 3768855652800. Its totient is φ = 231573304320.

The previous prime is 1013133223181. The next prime is 1013133223283. The reversal of 1013133223200 is 23223313101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30135975 + ... + 30169574.

It is an arithmetic number, because the mean of its divisors is an integer number (26172608700).

Almost surely, 21013133223200 is an apocalyptic number.

1013133223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013133223200 is an abundant number, since it is smaller than the sum of its proper divisors (2755722429600).

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

1013133223200 is a wasteful number, since it uses less digits than its factorization.

1013133223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60305579 (or 60305566 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1013133223200 its reverse (23223313101), we get a palindrome (1036356536301).

The spelling of 1013133223200 in words is "one trillion, thirteen billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 60305549 120611098 180916647 241222196 301527745 361833294 422138843 482444392 603055490 723666588 844277686 904583235 964888784 1206110980 1266416529 1447333176 1507638725 1688555372 1809166470 1929777568 2110694215 2412221960 2532833058 2894666352 3015277450 3377110744 3618332940 4221388430 4522916175 4824443920 5065666116 5789332704 6030554900 6332082645 6754221488 7236665880 8442776860 9045832350 9648887840 10131332232 10553471075 12061109800 12664165290 13508442976 14473331760 16885553720 18091664700 20262664464 21106942150 24122219600 25328330580 28946663520 31660413225 33771107440 36183329400 40525328928 42213884300 48244439200 50656661160 63320826450 67542214880 72366658800 84427768600 101313322320 126641652900 144733317600 168855537200 202626644640 253283305800 337711074400 506566611600 1013133223200