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1000012000020 = 2235119091166667
BaseRepresentation
bin11101000110101010101…
…11000010101100010100
310112121012120000002102020
432203111113002230110
5112341011033000040
62043222115413140
7132151141515345
oct16432527025424
93477176002366
101000012000020
11356114781770
12141985bb41b0
13733ba90a847
1436587c8c0cc
151b02c836cd0
hexe8d55c2b14

1000012000020 has 96 divisors (see below), whose sum is σ = 3054936439296. Its totient is φ = 242399030400.

The previous prime is 1000011999971. The next prime is 1000012000063. The reversal of 1000012000020 is 200002100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000011999972 and 1000012000008.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5916727 + ... + 6083393.

It is an arithmetic number, because the mean of its divisors is an integer number (31822254576).

Almost surely, 21000012000020 is an apocalyptic number.

1000012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012000020 is an abundant number, since it is smaller than the sum of its proper divisors (2054924439276).

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

1000012000020 is a wasteful number, since it uses less digits than its factorization.

1000012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175781 (or 175779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000012000020 its reverse (200002100001), we get a palindrome (1200014100021).

The spelling of 1000012000020 in words is "one trillion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 9091 18182 27273 36364 45455 54546 90910 100001 109092 136365 166667 181820 200002 272730 300003 333334 400004 500001 500005 545460 600006 666668 833335 1000002 1000010 1200012 1500015 1666670 1833337 2000004 2000020 2500005 3000030 3333340 3666674 5000010 5500011 6000060 7333348 9166685 10000020 11000022 18333370 22000044 27500055 36666740 55000110 110000220 1515169697 3030339394 4545509091 6060678788 7575848485 9091018182 15151696970 16666866667 18182036364 22727545455 30303393940 33333733334 45455090910 50000600001 66667466668 83334333335 90910181820 100001200002 166668666670 200002400004 250003000005 333337333340 500006000010 1000012000020