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10042952083 = 281349102407
BaseRepresentation
bin10010101101001101…
…10100100110010011
3221220220120211022021
421112212310212103
5131031443431313
64340315152311
7503605453453
oct112646644623
927826524267
1010042952083
114293a915aa
121b43445697
13c408788c8
146b3b43d63
153dba4478d
hex2569b4993

10042952083 has 8 divisors (see below), whose sum is σ = 10107669600. Its totient is φ = 9978440640.

The previous prime is 10042952077. The next prime is 10042952137. The reversal of 10042952083 is 38025924001.

10042952083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042952083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042952383) 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, 46866 + ... + 149272.

It is an arithmetic number, because the mean of its divisors is an integer number (1263458700).

Almost surely, 210042952083 is an apocalyptic number.

10042952083 is a deficient number, since it is larger than the sum of its proper divisors (64717517).

10042952083 is a wasteful number, since it uses less digits than its factorization.

10042952083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103037.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10042952083 in words is "ten billion, forty-two million, nine hundred fifty-two thousand, eighty-three".

Divisors: 1 281 349 98069 102407 28776367 35740043 10042952083