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10510103412 = 2232291947317
BaseRepresentation
bin10011100100111001…
…10111001101110100
31000010110121120110100
421302130313031310
5133011041302122
64454523554100
7521310255624
oct116234671564
930113546410
1010510103412
114503752286
12205398b930
13cb659c203
14719bc8884
15417a6eaac
hex272737374

10510103412 has 18 divisors (see below), whose sum is σ = 26567205938. Its totient is φ = 3503367792.

The previous prime is 10510103393. The next prime is 10510103419. The reversal of 10510103412 is 21430101501.

10510103412 is a `hidden beast` number, since 10 + 510 + 103 + 41 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8503421796 + 2006681616 = 92214^2 + 44796^2 .

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

It is a super-2 number, since 2×105101034122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510103419) by changing a digit.

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, 145973623 + ... + 145973694.

Almost surely, 210510103412 is an apocalyptic number.

10510103412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10510103412 is an abundant number, since it is smaller than the sum of its proper divisors (16057102526).

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

10510103412 is a wasteful number, since it uses less digits than its factorization.

10510103412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291947327 (or 291947322 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10510103412 its reverse (21430101501), we get a palindrome (31940204913).

The spelling of 10510103412 in words is "ten billion, five hundred ten million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 291947317 583894634 875841951 1167789268 1751683902 2627525853 3503367804 5255051706 10510103412