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210202220000120 = 23515134801692053
BaseRepresentation
bin101111110010110110000100…
…101001110111001101111000
31000120021010200010110200112212
4233302312010221313031320
5210022423121310000440
62023021322230554252
762163415652424515
oct5762660451671570
91016233603420485
10210202220000120
1160a82296258507
121b6aa722208988
139039ca464b3ba
1439c9bad9da30c
151947c972c4465
hexbf2d84a77378

210202220000120 has 32 divisors (see below), whose sum is σ = 476087147298720. Its totient is φ = 83524060924800.

The previous prime is 210202220000057. The next prime is 210202220000153. The reversal of 210202220000120 is 21000022202012.

It is a super-3 number, since 3×2102022200001203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210202220000095 and 210202220000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17400839987 + ... + 17400852066.

It is an arithmetic number, because the mean of its divisors is an integer number (14877723353085).

Almost surely, 2210202220000120 is an apocalyptic number.

210202220000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202220000120 is an abundant number, since it is smaller than the sum of its proper divisors (265884927298600).

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

210202220000120 is a wasteful number, since it uses less digits than its factorization.

210202220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34801692215 (or 34801692211 counting only the distinct ones).

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

Adding to 210202220000120 its reverse (21000022202012), we get a palindrome (231202242202132).

The spelling of 210202220000120 in words is "two hundred ten trillion, two hundred two billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 34801692053 69603384106 139206768212 174008460265 278413536424 348016920530 696033841060 1392067682120 5255055500003 10510111000006 21020222000012 26275277500015 42040444000024 52550555000030 105101110000060 210202220000120