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10034723121 = 33790402911
BaseRepresentation
bin10010101100001110…
…11011100100110001
3221220100002202021220
421112013123210301
5131022342114441
64335422535253
7503445511353
oct112607334461
927810082256
1010034723121
11428a381005
121b40737529
13c3bc571b7
146b2a010d3
153dae6b466
hex2561db931

10034723121 has 8 divisors (see below), whose sum is σ = 13741242624. Its totient is φ = 6509009520.

The previous prime is 10034723119. The next prime is 10034723123. The reversal of 10034723121 is 12132743001.

It is a happy number.

10034723121 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 (10034723119) and next prime (10034723123).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10034723121 - 21 = 10034723119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034723091 and 10034723100.

It is not an unprimeable number, because it can be changed into a prime (10034723123) by changing a digit.

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, 45201345 + ... + 45201566.

It is an arithmetic number, because the mean of its divisors is an integer number (1717655328).

Almost surely, 210034723121 is an apocalyptic number.

It is an amenable number.

10034723121 is a deficient number, since it is larger than the sum of its proper divisors (3706519503).

10034723121 is an equidigital number, since it uses as much as digits as its factorization.

10034723121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90402951.

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 10034723121 in words is "ten billion, thirty-four million, seven hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 37 111 90402911 271208733 3344907707 10034723121