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10023132101301 = 351114947250871
BaseRepresentation
bin1001000111011011000100…
…1110100111101010110101
31022111012110022100202100000
42101312301032213222311
52303204333304220201
633152321402141513
72053101362066004
oct221666116475265
938435408322300
1010023132101301
113214871850110
12115a6727b1899
1357923c6ba727
1426919d3a6c3b
15125ad0b48d86
hex91db13a7ab5

10023132101301 has 48 divisors (see below), whose sum is σ = 16380151377408. Its totient is φ = 6074194892400.

The previous prime is 10023132101299. The next prime is 10023132101321. The reversal of 10023132101301 is 10310123132001.

10023132101301 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 32 + 101 + 301 = 666.

It is not a de Polignac number, because 10023132101301 - 21 = 10023132101299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023132101321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39827896 + ... + 40078766.

It is an arithmetic number, because the mean of its divisors is an integer number (341253153696).

Almost surely, 210023132101301 is an apocalyptic number.

10023132101301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023132101301 is a deficient number, since it is larger than the sum of its proper divisors (6357019276107).

10023132101301 is a wasteful number, since it uses less digits than its factorization.

10023132101301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265844 (or 265832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10023132101301 its reverse (10310123132001), we get a palindrome (20333255233302).

The spelling of 10023132101301 in words is "ten trillion, twenty-three billion, one hundred thirty-two million, one hundred one thousand, three hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 14947 44841 134523 164417 250871 403569 493251 752613 1210707 1479753 2257839 2759581 3632121 4439259 6773517 8278743 13317777 20320551 24836229 39953331 60961653 74508687 223526061 670578183 3749768837 11249306511 33747919533 41247457207 101243758599 123742371621 303731275797 371227114863 911193827391 1113681344589 3341044033767 10023132101301