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221002202120112 = 243271554114107729
BaseRepresentation
bin110010010000000000010101…
…110000000111111110110000
31001222111121022110012021121100
4302100000111300013332300
5212431400002220320422
62102011002101124400
764356611406654630
oct6220002560077660
91058447273167540
10221002202120112
1164466564643756
122095385a3b9700
139641558b32aaa
143c807c69586c0
151a83b93b767ac
hexc90015c07fb0

221002202120112 has 120 divisors (see below), whose sum is σ = 706901783063840. Its totient is φ = 63139418818560.

The previous prime is 221002202120053. The next prime is 221002202120149. The reversal of 221002202120112 is 211021202200122.

It is a happy number.

221002202120112 is a `hidden beast` number, since 2 + 210 + 0 + 220 + 2 + 120 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 8611464 + ... + 22719192.

Almost surely, 2221002202120112 is an apocalyptic number.

It is an amenable number.

221002202120112 is an abundant number, since it is smaller than the sum of its proper divisors (485899580943728).

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

221002202120112 is a wasteful number, since it uses less digits than its factorization.

221002202120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123291 (or 14123282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002202120112 its reverse (211021202200122), we get a palindrome (432023404320234).

The spelling of 221002202120112 in words is "two hundred twenty-one trillion, two billion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 15541 31082 46623 62164 93246 108787 124328 139869 186492 217574 248656 279738 326361 372984 435148 559476 652722 745968 870296 979083 1118952 1305444 1740592 1958166 2237904 2610888 3916332 5221776 7832664 14107729 15665328 28215458 42323187 56430916 84646374 98754103 112861832 126969561 169292748 197508206 225723664 253939122 296262309 338585496 395016412 507878244 592524618 677170992 790032824 888786927 1015756488 1185049236 1580065648 1777573854 2031512976 2370098472 3555147708 4740196944 7110295416 14220590832 219248216389 438496432778 657744649167 876992865556 1315489298334 1534737514723 1753985731112 1973233947501 2630978596668 3069475029446 3507971462224 3946467895002 4604212544169 5261957193336 6138950058892 7892935790004 9208425088338 10523914386672 12277900117784 13812637632507 15785871580008 18416850176676 24555800235568 27625275265014 31571743160016 36833700353352 55250550530028 73667400706704 110501101060056 221002202120112