Search a number
-
+
1020222120200 = 235223945914649
BaseRepresentation
bin11101101100010011111…
…10100010000100001000
310121112101000220120100212
432312021332202010020
5113203403330321300
62100403352420252
7133465024636463
oct16661176420410
93545330816325
101020222120200
11363745876128
121458863a7688
137528b9a3c3a
143754402c2da
151b811c5a935
hexed89fa2108

1020222120200 has 96 divisors (see below), whose sum is σ = 2382972480000. Its totient is φ = 406205452800.

The previous prime is 1020222120191. The next prime is 1020222120221. The reversal of 1020222120200 is 20212220201.

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, 219447476 + ... + 219452124.

It is an arithmetic number, because the mean of its divisors is an integer number (24822630000).

Almost surely, 21020222120200 is an apocalyptic number.

1020222120200 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 1020222120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191486240000).

1020222120200 is an abundant number, since it is smaller than the sum of its proper divisors (1362750359800).

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

1020222120200 is a wasteful number, since it uses less digits than its factorization.

1020222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1020222120200 its reverse (20212220201), we get a palindrome (1040434340401).

It can be divided in two parts, 102022 and 2120200, that added together give a palindrome (2222222).

The spelling of 1020222120200 in words is "one trillion, twenty billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1912 2390 4591 4649 4780 5975 9182 9298 9560 11950 18364 18596 22955 23245 23900 36728 37192 45910 46490 47800 91820 92980 114775 116225 183640 185960 229550 232450 459100 464900 918200 929800 1097249 1111111 2194498 2222222 4388996 4444444 5486245 5555555 8777992 8888888 10972490 11111110 21343559 21944980 22222220 27431225 27777775 42687118 43889960 44444440 54862450 55555550 85374236 106717795 109724900 111111100 170748472 213435590 219449800 222222200 426871180 533588975 853742360 1067177950 2134355900 4268711800 5101110601 10202221202 20404442404 25505553005 40808884808 51011106010 102022212020 127527765025 204044424040 255055530050 510111060100 1020222120200