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210103434042120 = 23325583620650117
BaseRepresentation
bin101111110001011010000100…
…100011010101101100001000
31000112220200200120021001211200
4233301122010203111230020
5210014313313103321440
62022504103553024200
762153320646560203
oct5761320443255410
91015820616231750
10210103434042120
1160a4440314a103
121b693552b55060
13903089050b708
1439c50bbcc293a
15194541494ac30
hexbf16848d5b08

210103434042120 has 48 divisors (see below), whose sum is σ = 682836160638060. Its totient is φ = 56027582411136.

The previous prime is 210103434042097. The next prime is 210103434042167. The reversal of 210103434042120 is 21240434301012.

210103434042120 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 3 + 43 + 404 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169596497418084 + 40506936624036 = 13022922^2 + 6364506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291810324699 + ... + 291810325418.

Almost surely, 2210103434042120 is an apocalyptic number.

210103434042120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210103434042120 is an abundant number, since it is smaller than the sum of its proper divisors (472732726595940).

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

210103434042120 is a wasteful number, since it uses less digits than its factorization.

210103434042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583620650134 (or 583620650127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210103434042120 its reverse (21240434301012), we get a palindrome (231343868343132).

The spelling of 210103434042120 in words is "two hundred ten trillion, one hundred three billion, four hundred thirty-four million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 583620650117 1167241300234 1750861950351 2334482600468 2918103250585 3501723900702 4668965200936 5252585851053 5836206501170 7003447801404 8754309751755 10505171702106 11672413002340 14006895602808 17508619503510 21010343404212 23344826004680 26262929255265 35017239007020 42020686808424 52525858510530 70034478014040 105051717021060 210103434042120