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1022001010120 = 235316113511383
BaseRepresentation
bin11101101111101000000…
…00011101010111001000
310121200222000012112120201
432313310000131113020
5113221024224310440
62101300100301544
7133560065152456
oct16676400352710
93550860175521
101022001010120
11364478a21492
121460a20a18b4
13754b33b251c
14376723ab9d6
151b8b7ee419a
hexedf401d5c8

1022001010120 has 64 divisors (see below), whose sum is σ = 2412592727040. Its totient is φ = 389127801600.

The previous prime is 1022001010099. The next prime is 1022001010123. The reversal of 1022001010120 is 210101002201.

1022001010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022001010097 and 1022001010106.

It is not an unprimeable number, because it can be changed into a prime (1022001010123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6680052 + ... + 6831331.

It is an arithmetic number, because the mean of its divisors is an integer number (37696761360).

Almost surely, 21022001010120 is an apocalyptic number.

1022001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001010120 is an abundant number, since it is smaller than the sum of its proper divisors (1390591716920).

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

1022001010120 is a wasteful number, since it uses less digits than its factorization.

1022001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511486 (or 13511482 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022001010120 its reverse (210101002201), we get a palindrome (1232102012321).

The spelling of 1022001010120 in words is "one trillion, twenty-two billion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 305 310 488 610 620 1220 1240 1891 2440 3782 7564 9455 15128 18910 37820 75640 13511383 27022766 54045532 67556915 108091064 135113830 270227660 418852873 540455320 824194363 837705746 1648388726 1675411492 2094264365 3296777452 3350822984 4120971815 4188528730 6593554904 8241943630 8377057460 16483887260 16754114920 25550025253 32967774520 51100050506 102200101012 127750126265 204400202024 255500252530 511000505060 1022001010120