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10310661141156 = 2232286407253921
BaseRepresentation
bin1001011000001010001101…
…0010110111001010100100
31100111200121200222100212100
42112002203102313022210
52322412213223004111
633532352523252100
72112630536440065
oct226024322671244
940450550870770
1010310661141156
1133157aa463482
1211a633767a030
1359a3a292967c
1427907813456c
1512d30d558756
hex960a34b72a4

10310661141156 has 18 divisors (see below), whose sum is σ = 26063060106902. Its totient is φ = 3436887047040.

The previous prime is 10310661141139. The next prime is 10310661141259. The reversal of 10310661141156 is 65114116601301.

10310661141156 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 6 + 611 + 4 + 1 + 1 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9281674069056 + 1028987072100 = 3046584^2 + 1014390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 286407253921 = 10310661141156 / (1 + 0 + 3 + 1 + 0 + 6 + 6 + 1 + 1 + 4 + 1 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10310661141156.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 143203626925 + ... + 143203626996.

Almost surely, 210310661141156 is an apocalyptic number.

It is an amenable number.

10310661141156 is an abundant number, since it is smaller than the sum of its proper divisors (15752398965746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10310661141156 is a wasteful number, since it uses less digits than its factorization.

10310661141156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286407253931 (or 286407253926 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 10310661141156 its reverse (65114116601301), we get a palindrome (75424777742457).

The spelling of 10310661141156 in words is "ten trillion, three hundred ten billion, six hundred sixty-one million, one hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 286407253921 572814507842 859221761763 1145629015684 1718443523526 2577665285289 3436887047052 5155330570578 10310661141156