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102122211222 = 23253794093313
BaseRepresentation
bin101111100011011110…
…1010100011110010110
3100202121001221211202100
41133012331110132112
53133121241224342
6114525253222530
710243453321143
oct1370675243626
9322531854670
10102122211222
113a345364879
1217960631a46
1398263a6325
144d2ac4d3ca
1529ca6dce4c
hex17c6f54796

102122211222 has 96 divisors (see below), whose sum is σ = 228920515200. Its totient is φ = 32885139456.

The previous prime is 102122211133. The next prime is 102122211229. The reversal of 102122211222 is 222112221201.

It is a happy number.

102122211222 is a `hidden beast` number, since 10 + 212 + 221 + 1 + 222 = 666.

102122211222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102122211195 and 102122211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122211229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30823038 + ... + 30826350.

It is an arithmetic number, because the mean of its divisors is an integer number (2384588700).

Almost surely, 2102122211222 is an apocalyptic number.

102122211222 is an abundant number, since it is smaller than the sum of its proper divisors (126798303978).

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

102122211222 is a wasteful number, since it uses less digits than its factorization.

102122211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3859 counting only the distinct ones).

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

Adding to 102122211222 its reverse (222112221201), we get a palindrome (324234432423).

The spelling of 102122211222 in words is "one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 79 106 158 159 237 318 409 474 477 711 818 954 1227 1422 2454 3313 3681 4187 6626 7362 8374 9939 12561 19878 21677 25122 29817 32311 37683 43354 59634 64622 65031 75366 96933 130062 175589 193866 195093 261727 290799 351178 390186 523454 526767 581598 785181 1053534 1355017 1570362 1580301 1712483 2355543 2710034 3160602 3424966 4065051 4711086 5137449 8130102 10274898 12195153 13871531 15412347 24390306 27743062 30824694 41614593 71815901 83229186 107046343 124843779 143631802 214092686 215447703 249687558 321139029 430895406 642278058 646343109 963417087 1292686218 1926834174 5673456179 11346912358 17020368537 34040737074 51061105611 102122211222