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10132131000303 = 3213101038571653
BaseRepresentation
bin1001001101110001001000…
…0100011010111111101111
31022212121210122000112022100
42103130102010122333233
52312001101014002203
633314345310550143
72064010436331444
oct223342204327757
938777718015270
1010132131000303
113257015895224
121177812208353
135865c0683280
1427057d6339cb
1512885ede3ea3
hex9371211afef

10132131000303 has 24 divisors (see below), whose sum is σ = 15762654546912. Its totient is φ = 6234539652288.

The previous prime is 10132131000289. The next prime is 10132131000389. The reversal of 10132131000303 is 30300013123101.

It is a happy number.

10132131000303 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 310 + 0 + 0 + 30 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10132131000303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3103776 + ... + 5467877.

It is an arithmetic number, because the mean of its divisors is an integer number (656777272788).

Almost surely, 210132131000303 is an apocalyptic number.

10132131000303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10132131000303 is a deficient number, since it is larger than the sum of its proper divisors (5630523546609).

10132131000303 is a wasteful number, since it uses less digits than its factorization.

10132131000303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581775 (or 8581772 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10132131000303 its reverse (30300013123101), we get a palindrome (40432144123404).

The spelling of 10132131000303 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred three", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 10103 30309 90927 131339 394017 1182051 8571653 25714959 77144877 111431489 334294467 1002883401 86599410259 259798230777 779394692331 1125792333367 3377377000101 10132131000303