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2022102121120 = 25512779896741
BaseRepresentation
bin11101011011001110101…
…011011011101010100000
321011022101202212221021121
4131123032223123222200
5231112231120333440
64144535122102024
7266043401301664
oct35331653335240
97138352787247
102022102121120
1170a628a27594
12287a91aaa914
131188b65c0453
146dc280148a4
15378ed57e34a
hex1d6ceadbaa0

2022102121120 has 48 divisors (see below), whose sum is σ = 4780957712328. Its totient is φ = 808207375360.

The previous prime is 2022102121103. The next prime is 2022102121141. The reversal of 2022102121120 is 211212012202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1555837118224 + 466265002896 = 1247332^2 + 682836^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022102121094 and 2022102121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4744051 + ... + 5152690.

Almost surely, 22022102121120 is an apocalyptic number.

2022102121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022102121120 is an abundant number, since it is smaller than the sum of its proper divisors (2758855591208).

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

2022102121120 is a wasteful number, since it uses less digits than its factorization.

2022102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898033 (or 9898025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022102121120 its reverse (211212012202), we get a palindrome (2233314133322).

The spelling of 2022102121120 in words is "two trillion, twenty-two billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1277 2554 5108 6385 10216 12770 20432 25540 40864 51080 102160 204320 9896741 19793482 39586964 49483705 79173928 98967410 158347856 197934820 316695712 395869640 791739280 1583478560 12638138257 25276276514 50552553028 63190691285 101105106056 126381382570 202210212112 252762765140 404420424224 505525530280 1011051060560 2022102121120