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10132131000309 = 3411071955339373
BaseRepresentation
bin1001001101110001001000…
…0100011010111111110101
31022212121210122000112022120
42103130102010122333311
52312001101014002214
633314345310550153
72064010436331453
oct223342204327765
938777718015276
1010132131000309
11325701589522a
121177812208359
135865c0683286
1427057d6339d3
1512885ede3ea9
hex9371211aff5

10132131000309 has 32 divisors (see below), whose sum is σ = 13969413892224. Its totient is φ = 6527915397120.

The previous prime is 10132131000289. The next prime is 10132131000389. The reversal of 10132131000309 is 90300013123101.

It is not a de Polignac number, because 10132131000309 - 220 = 10132129951733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131000389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257317347 + ... + 257356719.

It is an arithmetic number, because the mean of its divisors is an integer number (436544184132).

Almost surely, 210132131000309 is an apocalyptic number.

It is an amenable number.

10132131000309 is a deficient number, since it is larger than the sum of its proper divisors (3837282891915).

10132131000309 is a wasteful number, since it uses less digits than its factorization.

10132131000309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59077.

The product of its (nonzero) digits is 486, while the sum is 24.

The spelling of 10132131000309 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred nine", and thus it is an aban number.

Divisors: 1 3 41 107 123 321 4387 13161 19553 39373 58659 118119 801673 1614293 2092171 2405019 4212911 4842879 6276513 12638733 85779011 172729351 257337033 518188053 769860269 2309580807 31564271029 82375048783 94692813087 247125146349 3377377000103 10132131000309