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1002311113120 = 25519674921009
BaseRepresentation
bin11101001010111100110…
…01011101100110100000
310112211010210012010200021
432211132121131212200
5112410213121104440
62044242205403224
7132262126614112
oct16453631354640
93484123163607
101002311113120
11357094547439
12142307b69514
13736960320b5
14367253693b2
151b1145d084a
hexe95e65d9a0

1002311113120 has 96 divisors (see below), whose sum is σ = 2529792820800. Its totient is φ = 374154080256.

The previous prime is 1002311113043. The next prime is 1002311113121. The reversal of 1002311113120 is 213111132001.

It is a happy number.

It is a super-2 number, since 2×10023111131202 (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 = 1002311113094 and 1002311113103.

It is not an unprimeable number, because it can be changed into a prime (1002311113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256825 + ... + 2664184.

It is an arithmetic number, because the mean of its divisors is an integer number (26352008550).

Almost surely, 21002311113120 is an apocalyptic number.

1002311113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002311113120 is an abundant number, since it is smaller than the sum of its proper divisors (1527481707680).

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

1002311113120 is a wasteful number, since it uses less digits than its factorization.

1002311113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921110 (or 4921102 counting only the distinct ones).

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

Adding to 1002311113120 its reverse (213111132001), we get a palindrome (1215422245121).

The spelling of 1002311113120 in words is "one trillion, two billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 134 152 160 190 268 304 335 380 536 608 670 760 1072 1273 1340 1520 2144 2546 2680 3040 5092 5360 6365 10184 10720 12730 20368 25460 40736 50920 101840 203680 4921009 9842018 19684036 24605045 39368072 49210090 78736144 93499171 98420180 157472288 186998342 196840360 329707603 373996684 393680720 467495855 659415206 747993368 787361440 934991710 1318830412 1495986736 1648538015 1869983420 2637660824 2991973472 3297076030 3739966840 5275321648 6264444457 6594152060 7479933680 10550643296 12528888914 13188304120 14959867360 25057777828 26376608240 31322222285 50115555656 52753216480 62644444570 100231111312 125288889140 200462222624 250577778280 501155556560 1002311113120