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102022211111002 = 27132326829155171
BaseRepresentation
bin10111001100100111100101…
…101001110000100001011010
3111101020020011022021201120121
4113030213211221300201122
5101333012442021023002
61000552205020543454
730326601333031060
oct2714474551604132
9441206138251517
10102022211111002
112a564416505446
12b5387080b1b8a
1344c08651a6a40
141b29c894b8030
15bbdc726cc237
hex5cc9e5a7085a

102022211111002 has 96 divisors (see below), whose sum is σ = 196923919006080. Its totient is φ = 38599731688320.

The previous prime is 102022211110943. The next prime is 102022211111027. The reversal of 102022211111002 is 200111112220201.

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, 657404877 + ... + 657560047.

It is an arithmetic number, because the mean of its divisors is an integer number (2051290822980).

Almost surely, 2102022211111002 is an apocalyptic number.

102022211111002 is a deficient number, since it is larger than the sum of its proper divisors (94901707895078).

102022211111002 is a wasteful number, since it uses less digits than its factorization.

102022211111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162068 (or 162045 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102022211111002 its reverse (200111112220201), we get a palindrome (302133323331203).

The spelling of 102022211111002 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, one hundred eleven thousand, two".

Divisors: 1 2 7 13 14 23 26 46 91 161 182 299 322 529 598 1058 2093 3703 4186 6829 6877 7406 13658 13754 47803 48139 88777 95606 96278 155171 157067 177554 310342 314134 621439 1086197 1099469 1242878 2017223 2041871 2172394 2198938 3568933 3612541 4034446 4083742 7137866 7225082 14120561 14293097 24982531 25287787 28241122 28586194 46396129 46963033 49965062 50575574 82085459 92792258 93926066 164170918 324772903 328741231 574598213 649545806 657482462 1059662759 1067110967 1149196426 2119325518 2134221934 7417639313 7469776769 13775615867 14835278626 14939553538 24372243457 27551231734 48744486914 96429311069 170605704199 192858622138 316839164941 341211408398 560561599511 633678329882 1121123199022 2217874154587 3923931196577 4435748309174 7287300793643 7847862393154 14574601587286 51011105555501 102022211111002