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1002020113320 = 233559314081227
BaseRepresentation
bin11101001010011010000…
…11011000101110101000
310112210101111121210222220
432211031003120232220
5112404114122111240
62044153252314040
7132251664301152
oct16451503305650
93483344553886
101002020113320
11356a5525aa36
12142246612920
137364a965a75
14366d8859ad2
151b0e8c9d5d0
hexe94d0d8ba8

1002020113320 has 64 divisors (see below), whose sum is σ = 3011129795520. Its totient is φ = 266754745344.

The previous prime is 1002020113307. The next prime is 1002020113349. The reversal of 1002020113320 is 233110202001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002020113320.

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 15 ways as a sum of consecutive naturals, for example, 6969454 + ... + 7111773.

It is an arithmetic number, because the mean of its divisors is an integer number (47048903055).

Almost surely, 21002020113320 is an apocalyptic number.

1002020113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020113320 is an abundant number, since it is smaller than the sum of its proper divisors (2009109682200).

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

1002020113320 is a wasteful number, since it uses less digits than its factorization.

1002020113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081834 (or 14081830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002020113320 its reverse (233110202001), we get a palindrome (1235130315321).

The spelling of 1002020113320 in words is "one trillion, two billion, twenty million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 11860 14232 17790 23720 35580 71160 14081227 28162454 42243681 56324908 70406135 84487362 112649816 140812270 168974724 211218405 281624540 337949448 422436810 563249080 844873620 1689747240 8350167611 16700335222 25050502833 33400670444 41750838055 50101005666 66801340888 83501676110 100202011332 125252514165 167003352220 200404022664 250505028330 334006704440 501010056660 1002020113320