Search a number
-
+
102220211220012 = 223210717126494577
BaseRepresentation
bin10111001111011111111111…
…011000001110111000101100
3111101221011020021102102101100
4113033133333120032320230
5101344233443033020022
61001223152230243100
730350111061136104
oct2717377730167054
9441834207372340
10102220211220012
112a6303913a3976
12b56ab65ab6490
13450642b089362
141b356adb2c204
15bc3eb02b11ac
hex5cf7ff60ee2c

102220211220012 has 36 divisors (see below), whose sum is σ = 258392399120856. Its totient is φ = 34073084519040.

The previous prime is 102220211219963. The next prime is 102220211220031. The reversal of 102220211220012 is 210022112022201.

It is a happy number.

102220211220012 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 211 + 220 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 9389133 + ... + 17105444.

It is an arithmetic number, because the mean of its divisors is an integer number (7177566642246).

Almost surely, 2102220211220012 is an apocalyptic number.

102220211220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220211220012 is an abundant number, since it is smaller than the sum of its proper divisors (156172187900844).

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

102220211220012 is a wasteful number, since it uses less digits than its factorization.

102220211220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26601758 (or 26601753 counting only the distinct ones).

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

Adding to 102220211220012 its reverse (210022112022201), we get a palindrome (312242323242213).

The spelling of 102220211220012 in words is "one hundred two trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 107171 214342 321513 428684 643026 964539 1286052 1929078 3858156 26494577 52989154 79483731 105978308 158967462 238451193 317934924 476902386 953804772 2839450311667 5678900623334 8518350935001 11357801246668 17036701870002 25555052805003 34073403740004 51110105610006 102220211220012