Search a number
-
+
102222100121112 = 23325987237139033
BaseRepresentation
bin10111001111100001101111…
…111101110100011000011000
3111101221100002220201112120100
4113033201233331310120120
5101344301330112333422
61001224103504055400
730350205635421306
oct2717415775643030
9441840086645510
10102222100121112
112a631170659264
12b56b3b2604560
13450666c50510a
141b3580c947276
15bc407102a7ac
hex5cf86ff74618

102222100121112 has 48 divisors (see below), whose sum is σ = 276897764440440. Its totient is φ = 34068341893248.

The previous prime is 102222100121083. The next prime is 102222100121137. The reversal of 102222100121112 is 211121001222201.

102222100121112 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 0 + 121 + 112 = 666.

It is a super-3 number, since 3×1022221001211123 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118138453 + ... + 119000580.

Almost surely, 2102222100121112 is an apocalyptic number.

102222100121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222100121112 is an abundant number, since it is smaller than the sum of its proper divisors (174675664319328).

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

102222100121112 is a wasteful number, since it uses less digits than its factorization.

102222100121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237145032 (or 237145025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102222100121112 its reverse (211121001222201), we get a palindrome (313343101343313).

The spelling of 102222100121112 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5987 11974 17961 23948 35922 47896 53883 71844 107766 143688 215532 431064 237139033 474278066 711417099 948556132 1422834198 1897112264 2134251297 2845668396 4268502594 5691336792 8537005188 17074010376 1419751390571 2839502781142 4259254171713 5679005562284 8518508343426 11358011124568 12777762515139 17037016686852 25555525030278 34074033373704 51111050060556 102222100121112