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20100021122202 = 23721313311576703
BaseRepresentation
bin1001001000111111001101…
…00111100111010010011010
32122011112200000211222010020
410210133212213213102122
510113304320401402302
6110425453333531310
74143115155362100
oct444374647472232
978145600758106
1020100021122202
11644a409a0a5aa
1223076284a3b36
13b2a5682aa608
144d6bbc019c70
1524ccaad93ebc
hex1247e69e749a

20100021122202 has 96 divisors (see below), whose sum is σ = 47262673649664. Its totient is φ = 5681803327200.

The previous prime is 20100021122201. The next prime is 20100021122213. The reversal of 20100021122202 is 20222112000102.

It is a super-2 number, since 2×201000211222022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20100021122201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11959783 + ... + 13536485.

It is an arithmetic number, because the mean of its divisors is an integer number (492319517184).

Almost surely, 220100021122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100021122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631336824832).

20100021122202 is an abundant number, since it is smaller than the sum of its proper divisors (27162652527462).

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

20100021122202 is a wasteful number, since it uses less digits than its factorization.

20100021122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577184 (or 1577177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20100021122202 its reverse (20222112000102), we get a palindrome (40322133122304).

The spelling of 20100021122202 in words is "twenty trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 262 294 331 393 662 786 917 993 1834 1986 2317 2751 4634 5502 6419 6951 12838 13902 16219 19257 32438 38514 43361 48657 86722 97314 130083 260166 303527 607054 910581 1576703 1821162 2124689 3153406 4249378 4730109 6374067 9460218 11036921 12748134 22073842 33110763 66221526 77258447 154516894 206548093 231775341 413096186 463550682 521888693 619644279 1043777386 1239288558 1445836651 1565666079 2891673302 3131332158 3653220851 4337509953 7306441702 8675019906 10120856557 10959662553 20241713114 21919325106 25572545957 30362569671 51145091914 60725139342 68367418783 76717637871 136734837566 153435275742 205102256349 410204512698 478571931481 957143862962 1435715794443 2871431588886 3350003520367 6700007040734 10050010561101 20100021122202