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10103332013 = 137373197713
BaseRepresentation
bin10010110100011010…
…01001110010101101
3222002010012102222222
421122031021302231
5131142423111023
64350313245125
7505240622315
oct113215116255
928063172888
1010103332013
114315081975
121b5b7037a5
13c50229788
146bbb80445
153e1ebecc8
hex25a349cad

10103332013 has 8 divisors (see below), whose sum is σ = 10204414968. Its totient is φ = 10002645504.

The previous prime is 10103331983. The next prime is 10103332027. The reversal of 10103332013 is 31023330101.

10103332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1282929124 + 8820402889 = 35818^2 + 93917^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10103332013 - 26 = 10103331949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10103331982 and 10103332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103332093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47756 + ... + 149957.

It is an arithmetic number, because the mean of its divisors is an integer number (1275551871).

Almost surely, 210103332013 is an apocalyptic number.

It is an amenable number.

10103332013 is a deficient number, since it is larger than the sum of its proper divisors (101082955).

10103332013 is a wasteful number, since it uses less digits than its factorization.

10103332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198223.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10103332013 its reverse (31023330101), we get a palindrome (41126662114).

The spelling of 10103332013 in words is "ten billion, one hundred three million, three hundred thirty-two thousand, thirteen".

Divisors: 1 137 373 51101 197713 27086681 73746949 10103332013