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202001021010120 = 23353943426919057
BaseRepresentation
bin101101111011100000000111…
…000110100000000011001000
3222111020002221110200121010010
4231323200013012200003020
5202434041042334310440
61553341553222151520
760356043416260503
oct5573400706400310
9874202843617103
10202001021010120
1159400174228152
121a7a51992825a0
1388937cb208547
1437c4c89d3013a
15185479b9ed580
hexb7b8071a00c8

202001021010120 has 64 divisors (see below), whose sum is σ = 606156755310720. Its totient is φ = 53853277400064.

The previous prime is 202001021010073. The next prime is 202001021010121. The reversal of 202001021010120 is 21010120100202.

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 = 202001021010096 and 202001021010105.

It is not an unprimeable number, because it can be changed into a prime (202001021010121) by changing a digit.

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, 212986369 + ... + 213932688.

It is an arithmetic number, because the mean of its divisors is an integer number (9471199301730).

Almost surely, 2202001021010120 is an apocalyptic number.

202001021010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001021010120 is an abundant number, since it is smaller than the sum of its proper divisors (404155734300600).

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

202001021010120 is a wasteful number, since it uses less digits than its factorization.

202001021010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426923014 (or 426923010 counting only the distinct ones).

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

Adding to 202001021010120 its reverse (21010120100202), we get a palindrome (223011141110322).

The spelling of 202001021010120 in words is "two hundred two trillion, one billion, twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3943 7886 11829 15772 19715 23658 31544 39430 47316 59145 78860 94632 118290 157720 236580 473160 426919057 853838114 1280757171 1707676228 2134595285 2561514342 3415352456 4269190570 5123028684 6403785855 8538381140 10246057368 12807571710 17076762280 25615143420 51230286840 1683341841751 3366683683502 5050025525253 6733367367004 8416709208755 10100051050506 13466734734008 16833418417510 20200102101012 25250127626265 33666836835020 40400204202024 50500255252530 67333673670040 101000510505060 202001021010120