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1013331310200 = 2332521151178349
BaseRepresentation
bin11101011111011110100…
…00001011011001111000
310120212120210122011002200
432233233100023121320
5113100300303411300
62053303514430200
7133132203006426
oct16575720133170
93525523564080
101013331310200
1136082a11a630
12144482732360
13747311ab781
143708cbb6116
151b55bd0e200
hexebef40b678

1013331310200 has 144 divisors (see below), whose sum is σ = 3712477509000. Its totient is φ = 245656070400.

The previous prime is 1013331310183. The next prime is 1013331310223. The reversal of 1013331310200 is 20131333101.

It is a happy number.

1013331310200 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 331 + 310 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25569375 + ... + 25608974.

Almost surely, 21013331310200 is an apocalyptic number.

1013331310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013331310200 is an abundant number, since it is smaller than the sum of its proper divisors (2699146198800).

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

1013331310200 is a wasteful number, since it uses less digits than its factorization.

1013331310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51178382 (or 51178370 counting only the distinct ones).

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

Adding to 1013331310200 its reverse (20131333101), we get a palindrome (1033462643301).

The spelling of 1013331310200 in words is "one trillion, thirteen billion, three hundred thirty-one million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 51178349 102356698 153535047 204713396 255891745 307070094 409426792 460605141 511783490 562961839 614140188 767675235 921210282 1023566980 1125923678 1228280376 1279458725 1535350470 1688885517 1842420564 2047133960 2251847356 2303025705 2558917450 2814809195 3070700940 3377771034 3684841128 3838376175 4503694712 4606051410 5066656551 5117834900 5629618390 6141401880 6755542068 7676752350 8444427585 9212102820 10133313102 10235669800 11259236780 11515128525 13511084136 14074045975 15353504700 16888855170 18424205640 20266626204 22518473560 23030257050 25333282755 28148091950 30707009400 33777710340 40533252408 42222137925 46060514100 50666565510 56296183900 67555420680 84444275850 92121028200 101333131020 112592367800 126666413775 168888551700 202666262040 253332827550 337777103400 506665655100 1013331310200