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221210122200102 = 23272435832677377
BaseRepresentation
bin110010010011000001111110…
…110000010010010000100110
31002000020110222202111201100200
4302103001332300102100212
5212443301312240400402
62102250305514051330
764410622021331100
oct6223017660222046
91060213882451320
10221210122200102
1164536760056202
1220988006419b46
139658042c62219
143c8a8ac85c570
151a892b25ab21c
hexc9307ec12426

221210122200102 has 72 divisors (see below), whose sum is σ = 570505839696936. Its totient is φ = 61733057347584.

The previous prime is 221210122200097. The next prime is 221210122200131. The reversal of 221210122200102 is 201002221012122.

It is a happy number.

221210122200102 is a `hidden beast` number, since 221 + 21 + 0 + 122 + 200 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2916300763 + ... + 2916376614.

It is an arithmetic number, because the mean of its divisors is an integer number (7923692218013).

Almost surely, 2221210122200102 is an apocalyptic number.

221210122200102 is an abundant number, since it is smaller than the sum of its proper divisors (349295717496834).

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

221210122200102 is a wasteful number, since it uses less digits than its factorization.

221210122200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832677442 (or 5832677432 counting only the distinct ones).

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

Adding to 221210122200102 its reverse (201002221012122), we get a palindrome (422212343212224).

The spelling of 221210122200102 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1806 2107 2709 4214 5418 6321 12642 18963 37926 5832677377 11665354754 17498032131 34996064262 40828741639 52494096393 81657483278 104988192786 122486224917 244972449834 250805127211 285801191473 367458674751 501610254422 571602382946 734917349502 752415381633 857403574419 1504830763266 1714807148838 1755635890477 2257246144899 2572210723257 3511271780954 4514492289798 5144421446514 5266907671431 10533815342862 12289451233339 15800723014293 24578902466678 31601446028586 36868353700017 73736707400034 110605061100051 221210122200102