Search a number
-
+
102222222000201 = 3219837202298457
BaseRepresentation
bin10111001111100001110111…
…001110110000000001001001
3111101221100102102001122020200
4113033201313032300001021
5101344302102313001301
61001224123540242413
730350211645400032
oct2717416716600111
9441840372048220
10102222222000201
112a631223433886
12b56b4273a0409
13450668b839414
141b35820bd1a89
15bc407baa2c86
hex5cf8773b0049

102222222000201 has 24 divisors (see below), whose sum is σ = 157298198322720. Its totient is φ = 63783555126336.

The previous prime is 102222222000179. The next prime is 102222222000203. The reversal of 102222222000201 is 102000222222201.

102222222000201 is a `hidden beast` number, since 1 + 0 + 22 + 222 + 220 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 102222222000201 - 25 = 102222222000169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102222222000203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3601135036 + ... + 3601163421.

It is an arithmetic number, because the mean of its divisors is an integer number (6554091596780).

Almost surely, 2102222222000201 is an apocalyptic number.

It is an amenable number.

102222222000201 is a deficient number, since it is larger than the sum of its proper divisors (55075976322519).

102222222000201 is a wasteful number, since it uses less digits than its factorization.

102222222000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202298565 (or 7202298562 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102222222000201 its reverse (102000222222201), we get a palindrome (204222444222402).

It can be divided in two parts, 102222222000 and 201, that added together give a palindrome (102222222201).

The spelling of 102222222000201 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 19 57 83 171 249 747 1577 4731 14193 7202298457 21606895371 64820686113 136843670683 410531012049 597790771931 1231593036147 1793372315793 5380116947379 11358024666689 34074074000067 102222222000201