Search a number
-
+
102220212012102 = 2331892966889113
BaseRepresentation
bin10111001111011111111111…
…011011010000010001000110
3111101221011020022220122221000
4113033133333123100101012
5101344233443233341402
61001223152255234130
730350111100645312
oct2717377733202106
9441834208818830
10102220212012102
112a630391894a98
12b56ab66218946
13450642b2a5a52
141b356adc96b42
15bc3eb03bac1c
hex5cf7ff6d0446

102220212012102 has 16 divisors (see below), whose sum is σ = 227156026693680. Its totient is φ = 34073404004016.

The previous prime is 102220212012091. The next prime is 102220212012103. The reversal of 102220212012102 is 201210212022201.

It is a happy number.

102220212012102 is a `hidden beast` number, since 10 + 2 + 220 + 21 + 201 + 210 + 2 = 666.

It is a super-3 number, since 3×1022202120121023 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220212012103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946483444503 + ... + 946483444610.

It is an arithmetic number, because the mean of its divisors is an integer number (14197251668355).

Almost surely, 2102220212012102 is an apocalyptic number.

102220212012102 is an abundant number, since it is smaller than the sum of its proper divisors (124935814681578).

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

102220212012102 is a wasteful number, since it uses less digits than its factorization.

102220212012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892966889124 (or 1892966889118 counting only the distinct ones).

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

Adding to 102220212012102 its reverse (201210212022201), we get a palindrome (303430424034303).

The spelling of 102220212012102 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 1892966889113 3785933778226 5678900667339 11357801334678 17036702002017 34073404004034 51110106006051 102220212012102