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1021310113120 = 255113118719027
BaseRepresentation
bin11101101110010101101…
…00111001010101100000
310121122011212011100001221
432313022310321111200
5113213120342104440
62101103340104424
7133534005503503
oct16671264712540
93548155140057
101021310113120
11364153a2a330
12145b2a835114
137540320c62b
143760872313a
151b87751dd4a
hexedcad39560

1021310113120 has 96 divisors (see below), whose sum is σ = 2717104352256. Its totient is φ = 359405299200.

The previous prime is 1021310113111. The next prime is 1021310113133. The reversal of 1021310113120 is 213110131201.

It is a happy number.

It is a super-2 number, since 2×10213101131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1021310113094 and 1021310113103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9304954 + ... + 9414073.

It is an arithmetic number, because the mean of its divisors is an integer number (28303170336).

Almost surely, 21021310113120 is an apocalyptic number.

1021310113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021310113120 is an abundant number, since it is smaller than the sum of its proper divisors (1695794239136).

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

1021310113120 is a wasteful number, since it uses less digits than its factorization.

1021310113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18719084 (or 18719076 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1021310113120 its reverse (213110131201), we get a palindrome (1234420244321).

The spelling of 1021310113120 in words is "one trillion, twenty-one billion, three hundred ten million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 18719027 37438054 74876108 93595135 149752216 187190270 205909297 299504432 374380540 411818594 580289837 599008864 748761080 823637188 1029546485 1160579674 1497522160 1647274376 2059092970 2321159348 2901449185 2995044320 3294548752 4118185940 4642318696 5802898370 6383188207 6589097504 8236371880 9284637392 11605796740 12766376414 16472743760 18569274784 23211593480 25532752828 31915941035 32945487520 46423186960 51065505656 63831882070 92846373920 102131011312 127663764140 204262022624 255327528280 510655056560 1021310113120