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10012143200020 = 22513379257939397
BaseRepresentation
bin1001000110110010001000…
…1111010010011100010100
31022110011002110210201200021
42101230202033102130110
52303014332124400040
633143303131554524
72052232146006643
oct221544217223424
938404073721607
1010012143200020
113210142902a15
1211585065bba44
135781aab7aa90
14268839b8535a
1512568b04d24a
hex91b223d2714

10012143200020 has 96 divisors (see below), whose sum is σ = 22711969929600. Its totient is φ = 3685514079744.

The previous prime is 10012143200009. The next prime is 10012143200041. The reversal of 10012143200020 is 2000234121001.

It is a super-2 number, since 2×100121432000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012143199967 and 10012143200003.

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, 254114962 + ... + 254154358.

It is an arithmetic number, because the mean of its divisors is an integer number (236583020100).

Almost surely, 210012143200020 is an apocalyptic number.

10012143200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012143200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355984964800).

10012143200020 is an abundant number, since it is smaller than the sum of its proper divisors (12699826729580).

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

10012143200020 is a wasteful number, since it uses less digits than its factorization.

10012143200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42377 (or 42375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10012143200020 its reverse (2000234121001), we get a palindrome (12012377321021).

The spelling of 10012143200020 in words is "ten trillion, twelve billion, one hundred forty-three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 379 758 1516 1895 2579 3790 4927 5158 7580 9854 10316 12895 19708 24635 25790 33527 39397 49270 51580 67054 78794 98540 134108 157588 167635 196985 335270 393970 512161 670540 787940 977441 1024322 1954882 2048644 2560805 3909764 4887205 5121610 9774410 10243220 12706733 14931463 19548820 25413466 29862926 50826932 59725852 63533665 74657315 101604863 127067330 149314630 194109019 203209726 254134660 298629260 388218038 406419452 508024315 776436076 970545095 1016048630 1320863219 1941090190 2032097260 2641726438 3882180380 5283452876 6604316095 13208632190 26417264380 38508243077 77016486154 154032972308 192541215385 385082430770 500607160001 770164861540 1001214320002 2002428640004 2503035800005 5006071600010 10012143200020