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10057808303301 = 3112322359423293
BaseRepresentation
bin1001001001011100010000…
…0101110101010011000101
31022121111221221202022220210
42102113010011311103011
52304241342411201201
633220254321350033
72055436602664563
oct222270405652305
938544857668823
1010057808303301
1132285466429a0
12116532b798319
1357c5a7800555
1426ab2c8a6a33
151269600691d6
hex925c41754c5

10057808303301 has 32 divisors (see below), whose sum is σ = 15334062170112. Its totient is φ = 5804467162560.

The previous prime is 10057808303261. The next prime is 10057808303321. The reversal of 10057808303301 is 10330380875001.

It is not a de Polignac number, because 10057808303301 - 26 = 10057808303237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10057808303301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057808303321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29542390 + ... + 29880903.

It is an arithmetic number, because the mean of its divisors is an integer number (479189442816).

Almost surely, 210057808303301 is an apocalyptic number.

10057808303301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10057808303301 is a deficient number, since it is larger than the sum of its proper divisors (5276253866811).

10057808303301 is a wasteful number, since it uses less digits than its factorization.

10057808303301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59423553.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10057808303301 in words is "ten trillion, fifty-seven billion, eight hundred eight million, three hundred three thousand, three hundred one".

Divisors: 1 3 11 23 33 69 223 253 669 759 2453 5129 7359 15387 56419 169257 59423293 178269879 653656223 1366735739 1960968669 4100207217 13251394339 15034093129 39754183017 45102279387 145765337729 304782069797 437296013187 914346209391 3352602767767 10057808303301