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112202120210120 = 2355367801780601
BaseRepresentation
bin11001100000110000010111…
…100001001010011011001000
3112201021102021200020011002022
4121200300113201022123020
5104201304420233210440
61034344535322224012
732430223064461343
oct3140602741123310
9481242250204068
10112202120210120
1132829719834446
1210701633055008
134a7b7cb19a7a5
141d9c87c2dd45a
15ce897bd6ecb5
hex660c1784a6c8

112202120210120 has 64 divisors (see below), whose sum is σ = 257222191267440. Its totient is φ = 44033333760000.

The previous prime is 112202120210111. The next prime is 112202120210137. The reversal of 112202120210120 is 21012021202211.

It can be written as a sum of positive squares in 8 ways, for example, as 87776324685604 + 24425795524516 = 9368902^2 + 4942246^2 .

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 15 ways as a sum of consecutive naturals, for example, 143347820 + ... + 144128420.

Almost surely, 2112202120210120 is an apocalyptic number.

112202120210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202120210120 is an abundant number, since it is smaller than the sum of its proper divisors (145020071057320).

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

112202120210120 is a wasteful number, since it uses less digits than its factorization.

112202120210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848466 (or 848462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112202120210120 its reverse (21012021202211), we get a palindrome (133214141412331).

The spelling of 112202120210120 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 67801 135602 271204 339005 542408 678010 780601 1356020 1561202 2712040 3122404 3593453 3903005 6244808 7186906 7806010 14373812 15612020 17967265 28747624 31224040 35934530 41371853 71869060 82743706 143738120 165487412 206859265 330974824 413718530 827437060 1654874120 52925528401 105851056802 211702113604 264627642005 423404227208 529255284010 1058510568020 2117021136040 2805053005253 5610106010506 11220212021012 14025265026265 22440424042024 28050530052530 56101060105060 112202120210120