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10121034140 = 225772293101
BaseRepresentation
bin10010110110100001…
…01011100110011100
3222010100111210202022
421123100223212130
5131211441043030
64352144515312
7505544241110
oct113320534634
928110453668
1010121034140
114324072828
121b6561bb38
13c53ab6cc9
146c026b740
153e3819de5
hex25b42b99c

10121034140 has 24 divisors (see below), whose sum is σ = 24290482272. Its totient is φ = 3470068800.

The previous prime is 10121034127. The next prime is 10121034151. The reversal of 10121034140 is 4143012101.

It is a happy number.

10121034140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36146411 + ... + 36146690.

It is an arithmetic number, because the mean of its divisors is an integer number (1012103428).

Almost surely, 210121034140 is an apocalyptic number.

10121034140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121034140 is an abundant number, since it is smaller than the sum of its proper divisors (14169448132).

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

10121034140 is a wasteful number, since it uses less digits than its factorization.

10121034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72293117 (or 72293115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10121034140 its reverse (4143012101), we get a palindrome (14264046241).

The spelling of 10121034140 in words is "ten billion, one hundred twenty-one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72293101 144586202 289172404 361465505 506051707 722931010 1012103414 1445862020 2024206828 2530258535 5060517070 10121034140