Search a number
-
+
202210110120120 = 233515111159498351
BaseRepresentation
bin101101111110100010110101…
…110010001010000010111000
3222111222002122020201220120020
4231332202311302022002320
5203001002301142320440
61554022013035330440
760410125014343464
oct5576426562120270
9874862566656506
10202210110120120
115948090a613203
121a8198108b0a20
1388aa4405a77cb
1437d10431c14a4
151859e37da23d0
hexb7e8b5c8a0b8

202210110120120 has 64 divisors (see below), whose sum is σ = 610647749821440. Its totient is φ = 53565592080000.

The previous prime is 202210110120113. The next prime is 202210110120127. The reversal of 202210110120120 is 21021011012202.

202210110120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202210110120113) and next prime (202210110120127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202210110120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210110120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5579731056 + ... + 5579767295.

It is an arithmetic number, because the mean of its divisors is an integer number (9541371090960).

Almost surely, 2202210110120120 is an apocalyptic number.

202210110120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210110120120 is an abundant number, since it is smaller than the sum of its proper divisors (408437639701320).

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

202210110120120 is a wasteful number, since it uses less digits than its factorization.

202210110120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11159498516 (or 11159498512 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202210110120120 its reverse (21021011012202), we get a palindrome (223231121132322).

The spelling of 202210110120120 in words is "two hundred two trillion, two hundred ten billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 11159498351 22318996702 33478495053 44637993404 55797491755 66956990106 89275986808 111594983510 133913980212 167392475265 223189967020 267827960424 334784950530 446379934040 669569901060 1339139802120 1685084251001 3370168502002 5055252753003 6740337004004 8425421255005 10110505506006 13480674008008 16850842510010 20221011012012 25276263765015 33701685020020 40442022024024 50552527530030 67403370040040 101105055060060 202210110120120