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10141976337 = 331109053509
BaseRepresentation
bin10010111001000001…
…00100011100010001
3222011210220210001020
421130200210130101
5131232321220322
64354213430053
7506220243063
oct113440443421
928153823036
1010141976337
114334976a29
121b7063b329
13c5823a23c
146c2d5d733
153e55a505c
hex25c824711

10141976337 has 8 divisors (see below), whose sum is σ = 13958849280. Its totient is φ = 6543210480.

The previous prime is 10141976291. The next prime is 10141976347. The reversal of 10141976337 is 73367914101.

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

It is not a de Polignac number, because 10141976337 - 27 = 10141976209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10141976347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54526662 + ... + 54526847.

It is an arithmetic number, because the mean of its divisors is an integer number (1744856160).

Almost surely, 210141976337 is an apocalyptic number.

It is an amenable number.

10141976337 is a deficient number, since it is larger than the sum of its proper divisors (3816872943).

10141976337 is a wasteful number, since it uses less digits than its factorization.

10141976337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109053543.

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 10141976337 in words is "ten billion, one hundred forty-one million, nine hundred seventy-six thousand, three hundred thirty-seven".

Divisors: 1 3 31 93 109053509 327160527 3380658779 10141976337