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20102100210120 = 2335207438075857
BaseRepresentation
bin1001001001000011000101…
…00010101101000111001000
32122011202000221000120120110
410210201202202231013020
510113323100123210440
6110430435523554320
74143220532340645
oct444414242550710
978152027016513
1020102100210120
116450286565085
122307b0882b9a0
13b2a809c55b56
144d6d381c0dcc
1524cd7d67a080
hex1248628ad1c8

20102100210120 has 64 divisors (see below), whose sum is σ = 60309215406720. Its totient is φ = 5360300964864.

The previous prime is 20102100210119. The next prime is 20102100210131. The reversal of 20102100210120 is 2101200120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20102100210096 and 20102100210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548769 + ... + 6527088.

It is an arithmetic number, because the mean of its divisors is an integer number (942331490730).

Almost surely, 220102100210120 is an apocalyptic number.

20102100210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102100210120 is an abundant number, since it is smaller than the sum of its proper divisors (40207115196600).

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

20102100210120 is a wasteful number, since it uses less digits than its factorization.

20102100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096614 (or 8096610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102100210120 its reverse (2101200120102), we get a palindrome (22203300330222).

The spelling of 20102100210120 in words is "twenty trillion, one hundred two billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20743 41486 62229 82972 103715 124458 165944 207430 248916 311145 414860 497832 622290 829720 1244580 2489160 8075857 16151714 24227571 32303428 40379285 48455142 64606856 80758570 96910284 121137855 161517140 193820568 242275710 323034280 484551420 969102840 167517501751 335035003502 502552505253 670070007004 837587508755 1005105010506 1340140014008 1675175017510 2010210021012 2512762526265 3350350035020 4020420042024 5025525052530 6700700070040 10051050105060 20102100210120