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220010101000120 = 23544312415919921
BaseRepresentation
bin110010000001100100010111…
…111010101100011110111000
31001211222202112012220112110201
4302001210113322230132320
5212314121141324000440
62055531124535051544
764225130254410364
oct6201442772543670
91054882465815421
10220010101000120
116411383a3aa272
1220813521810bb4
13959bb2c163b62
143c4878d5b62a4
151a67e7aad419a
hexc81917eac7b8

220010101000120 has 32 divisors (see below), whose sum is σ = 496140160083120. Its totient is φ = 87805385674240.

The previous prime is 220010101000093. The next prime is 220010101000159. The reversal of 220010101000120 is 21000101010022.

220010101000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220010101000097 and 220010101000106.

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, 6207942241 + ... + 6207977680.

Almost surely, 2220010101000120 is an apocalyptic number.

220010101000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010101000120 is an abundant number, since it is smaller than the sum of its proper divisors (276130059083000).

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

220010101000120 is a wasteful number, since it uses less digits than its factorization.

220010101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12415920375 (or 12415920371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220010101000120 its reverse (21000101010022), we get a palindrome (241010202010142).

The spelling of 220010101000120 in words is "two hundred twenty trillion, ten billion, one hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 443 886 1772 2215 3544 4430 8860 17720 12415919921 24831839842 49663679684 62079599605 99327359368 124159199210 248318398420 496636796840 5500252525003 11000505050006 22001010100012 27501262625015 44002020200024 55002525250030 110005050500060 220010101000120