Search a number
-
+
221210112121002 = 2323717331369113999
BaseRepresentation
bin110010010011000001111110…
…001001110101100010101010
31002000020110222001112122102200
4302103001332021311202222
5212443301302200333002
62102250304514041030
764410621536552004
oct6223017611654252
91060213861478380
10221210112121002
11645367553a1674
1220988002b79176
139658040b43664
143c8a8ab397374
151a892b1769b1c
hexc9307e2758aa

221210112121002 has 96 divisors (see below), whose sum is σ = 492597522144000. Its totient is φ = 71692062733440.

The previous prime is 221210112120973. The next prime is 221210112121043. The reversal of 221210112121002 is 200121211012122.

221210112121002 is a `hidden beast` number, since 221 + 210 + 1 + 1 + 21 + 210 + 0 + 2 = 666.

It is a super-3 number, since 3×2212101121210023 (a number of 44 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15801843999 + ... + 15801857997.

It is an arithmetic number, because the mean of its divisors is an integer number (5131224189000).

Almost surely, 2221210112121002 is an apocalyptic number.

221210112121002 is an abundant number, since it is smaller than the sum of its proper divisors (271387410022998).

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

221210112121002 is a wasteful number, since it uses less digits than its factorization.

221210112121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29468 (or 29465 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221210112121002 its reverse (200121211012122), we get a palindrome (421331323133124).

The spelling of 221210112121002 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1733 3466 5199 10398 13691 13999 15597 27382 27998 31194 41073 41997 64121 82146 83994 123219 125991 128242 192363 246438 251982 384726 506567 517963 577089 1013134 1035926 1154178 1519701 1553889 3039402 3107778 4559103 4661667 9118206 9323334 23726503 24260267 47453006 48520534 71179509 72780801 142359018 145561602 191660309 213538527 218342403 383320618 427077054 436684806 574980927 877880611 897629879 1149961854 1724942781 1755761222 1795259758 2633641833 2692889637 3449885562 5267283666 5385779274 7091431433 7900925499 8078668911 14182862866 15801850998 16157337822 21274294299 42548588598 63822882897 127645765794 332147315497 664294630994 996441946491 1992883892982 2989325839473 5978651678946 12289450673389 24578901346778 36868352020167 73736704040334 110605056060501 221210112121002