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201122222020100 = 225216360120530427
BaseRepresentation
bin101101101110101101101010…
…100110011001011000000100
3222101010002121110100102002122
4231232231222212121120010
5202330141302314120400
61551430135010025112
760235413103146623
oct5556555246313004
9871102543312078
10201122222020100
11590a15010a2a07
121a682a01278198
13882b989bb3174
1437945205436ba
15183b9b58c7685
hexb6eb6a999604

201122222020100 has 72 divisors (see below), whose sum is σ = 439843396741728. Its totient is φ = 79822296288000.

The previous prime is 201122222020091. The next prime is 201122222020117. The reversal of 201122222020100 is 1020222221102.

It is a happy number.

201122222020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468914 + ... + 20061513.

Almost surely, 2201122222020100 is an apocalyptic number.

201122222020100 is a gapful number since it is divisible by the number (20) 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 201122222020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219921698370864).

201122222020100 is an abundant number, since it is smaller than the sum of its proper divisors (238721174721628).

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

201122222020100 is a wasteful number, since it uses less digits than its factorization.

201122222020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20531205 (or 20531198 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201122222020100 its reverse (1020222221102), we get a palindrome (202142444241202).

The spelling of 201122222020100 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 601 652 815 1202 1630 2404 3005 3260 4075 6010 8150 12020 15025 16300 30050 60100 97963 195926 391852 489815 979630 1959260 2449075 4898150 9796300 20530427 41060854 82121708 102652135 205304270 410608540 513260675 1026521350 2053042700 3346459601 6692919202 12338786627 13385838404 16732298005 24677573254 33464596010 49355146508 61693933135 66929192020 83661490025 123387866270 167322980050 246775732540 308469665675 334645960100 616939331350 1233878662700 2011222220201 4022444440402 8044888880804 10056111101005 20112222202010 40224444404020 50280555505025 100561111010050 201122222020100