Search a number
-
+
102212011222211 = 111012292571563217
BaseRepresentation
bin10111001111011000010110…
…100111101110010011000011
3111101220101001210200101002002
4113033120112213232103003
5101344120144333102321
61001215314424014215
730346400631251012
oct2717302647562303
9441811053611062
10102212011222211
112a627963745190
12b56945790136b
13450572228cc57
141b35132a82a79
15bc3b8045c20b
hex5cf6169ee4c3

102212011222211 has 32 divisors (see below), whose sum is σ = 113539899890880. Its totient is φ = 91241791488000.

The previous prime is 102212011222207. The next prime is 102212011222249. The reversal of 102212011222211 is 112222110212201.

It is a cyclic number.

It is not a de Polignac number, because 102212011222211 - 22 = 102212011222207 is a prime.

It is a super-3 number, since 3×1022120112222113 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212011822211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64604075 + ... + 66167291.

It is an arithmetic number, because the mean of its divisors is an integer number (3548121871590).

Almost surely, 2102212011222211 is an apocalyptic number.

102212011222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212011222211 is a deficient number, since it is larger than the sum of its proper divisors (11327888668669).

102212011222211 is a wasteful number, since it uses less digits than its factorization.

102212011222211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563815.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212011222211 its reverse (112222110212201), we get a palindrome (214434121434412).

The spelling of 102212011222211 in words is "one hundred two trillion, two hundred twelve billion, eleven million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 11 101 229 257 1111 2519 2827 23129 25957 58853 254419 285527 647383 1563217 5944153 17195387 65385683 157884917 357976693 401746769 1736734087 3937743623 4419214459 36155645993 40576423669 92000010101 397712105923 446340660359 1012000111111 9292001020201 102212011222211