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10132131203231 = 283117130574367
BaseRepresentation
bin1001001101110001001000…
…0101001100100010011111
31022212121210122101211200012
42103130102011030202133
52312001101042000411
633314345315153435
72064010441135202
oct223342205144237
938777718354605
1010132131203231
113257015a13734
1211778122a587b
135865c072474b
1427057d687939
1512885ee3418b
hex9371214c89f

10132131203231 has 8 divisors (see below), whose sum is σ = 10176617240064. Its totient is φ = 10087706318040.

The previous prime is 10132131203087. The next prime is 10132131203279. The reversal of 10132131203231 is 13230213123101.

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-10132131203231 is a prime.

It is a super-2 number, since 2×101321312032312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132131203197 and 10132131203206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131203431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14955791 + ... + 15618576.

It is an arithmetic number, because the mean of its divisors is an integer number (1272077155008).

Almost surely, 210132131203231 is an apocalyptic number.

10132131203231 is a deficient number, since it is larger than the sum of its proper divisors (44486036833).

10132131203231 is a wasteful number, since it uses less digits than its factorization.

10132131203231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30575821.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10132131203231 its reverse (13230213123101), we get a palindrome (23362344326332).

The spelling of 10132131203231 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 283 1171 331393 30574367 8652545861 35802583757 10132131203231