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22210202011221 = 32737331151119051
BaseRepresentation
bin1010000110011001101110…
…01100111000011001010101
32220122021102011110220112200
411003030313030320121111
510402342443203324341
6115123120445435113
74451430340110630
oct503146714703125
986567364426480
1022210202011221
117093326020054
1225a859b86ba99
13c5154a6642b3
1456ad9dad8c17
15287b11c9adb6
hex143337338655

22210202011221 has 96 divisors (see below), whose sum is σ = 37796134311936. Its totient is φ = 12302429040000.

The previous prime is 22210202011157. The next prime is 22210202011279. The reversal of 22210202011221 is 12211020201222.

It is a happy number.

22210202011221 is a `hidden beast` number, since 2 + 221 + 0 + 20 + 201 + 1 + 221 = 666.

It is not a de Polignac number, because 22210202011221 - 26 = 22210202011157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22210202011194 and 22210202011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210202011321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1165819146 + ... + 1165838196.

It is an arithmetic number, because the mean of its divisors is an integer number (393709732416).

Almost surely, 222210202011221 is an apocalyptic number.

22210202011221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22210202011221 is a deficient number, since it is larger than the sum of its proper divisors (15585932300715).

22210202011221 is a wasteful number, since it uses less digits than its factorization.

22210202011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20943 (or 20940 counting only the distinct ones).

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

Adding to 22210202011221 its reverse (12211020201222), we get a palindrome (34421222212443).

The spelling of 22210202011221 in words is "twenty-two trillion, two hundred ten billion, two hundred two million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 331 333 777 993 1511 2317 2331 2979 4533 6951 10577 12247 13599 19051 20853 31731 36741 55907 57153 85729 95193 110223 133357 167721 171459 257187 391349 400071 500141 503163 704887 771561 1174047 1200213 1500423 2114661 3500987 3522141 4501269 4934209 6305881 6343983 10502961 14802627 18505217 18917643 28786061 31508883 44141167 44407881 55515651 56752929 86358183 129536519 132423501 166546953 201502427 233317597 259074549 388609557 397270503 604507281 699952791 1065084257 1165828671 1633223179 1813521843 2099858373 3195252771 4899669537 7455589799 9528186191 9585758313 14699008611 22366769397 28584558573 66697303337 67100308191 85753675719 200091910011 352542889067 600275730033 1057628667201 2467800223469 3172886001603 7403400670407 22210202011221