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102221120122220 = 2251117910163255413
BaseRepresentation
bin10111001111100000110101…
…100011011010110101101100
3111101221020120121200102211002
4113033200311203122311230
5101344242323222402340
61001223422335215432
730350142435522551
oct2717406543326554
9441836517612732
10102221120122220
112a630808456620
12b56b17a377578
13450654447ba08
141b35758724a28
15bc4014e9a715
hex5cf8358dad6c

102221120122220 has 96 divisors (see below), whose sum is σ = 235511650725120. Its totient is φ = 36959873634560.

The previous prime is 102221120122213. The next prime is 102221120122309. The reversal of 102221120122220 is 22221021122201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102221120122192 and 102221120122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400091234 + ... + 400346646.

It is an arithmetic number, because the mean of its divisors is an integer number (2453246361720).

Almost surely, 2102221120122220 is an apocalyptic number.

102221120122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221120122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117755825362560).

102221120122220 is an abundant number, since it is smaller than the sum of its proper divisors (133290530602900).

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

102221120122220 is a wasteful number, since it uses less digits than its factorization.

102221120122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265775 (or 265773 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102221120122220 its reverse (22221021122201), we get a palindrome (124442141244421).

The spelling of 102221120122220 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 10163 19690 20326 39380 40652 50815 101630 111793 203260 223586 255413 447172 510826 558965 1021652 1117930 1277065 1819177 2235860 2554130 2809543 3638354 5108260 5619086 7276708 9095885 11238172 14047715 18191770 20010947 28095430 36383540 40021894 45718927 56190860 80043788 91437854 100054735 182875708 200109470 228594635 400218940 457189270 502908197 914378540 1005816394 2011632788 2514540985 2595762319 5029081970 5191524638 10058163940 10383049276 12978811595 25957623190 28553385509 51915246380 57106771018 114213542036 142766927545 285533855090 464641455101 571067710180 929282910202 1858565820404 2323207275505 4646414551010 5111056006111 9292829102020 10222112012222 20444224024444 25555280030555 51110560061110 102221120122220