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103003131213 = 32411811542217
BaseRepresentation
bin101111111101101110…
…1110000110101001101
3100211212110120012210200
41133323131300311031
53141422300144323
6115152522324113
710304341112043
oct1377335606515
9324773505720
10103003131213
113a757645024
1217b67659639
139936a4c268
144db1c40393
152a2cbeb443
hex17fb770d4d

103003131213 has 24 divisors (see below), whose sum is σ = 153253287096. Its totient is φ = 66623731200.

The previous prime is 103003131211. The next prime is 103003131221. The reversal of 103003131213 is 312131300301.

It is a happy number.

103003131213 is a `hidden beast` number, since 10 + 300 + 31 + 312 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2334629124 + 100668502089 = 48318^2 + 317283^2 .

It is not a de Polignac number, because 103003131213 - 21 = 103003131211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103003131211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704320 + ... + 837897.

It is an arithmetic number, because the mean of its divisors is an integer number (6385553629).

Almost surely, 2103003131213 is an apocalyptic number.

It is an amenable number.

103003131213 is a deficient number, since it is larger than the sum of its proper divisors (50250155883).

103003131213 is a wasteful number, since it uses less digits than its factorization.

103003131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542445 (or 1542442 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103003131213 its reverse (312131300301), we get a palindrome (415134431514).

The spelling of 103003131213 in words is "one hundred three billion, three million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 41 123 181 369 543 1629 7421 22263 66789 1542217 4626651 13879953 63230897 189692691 279141277 569078073 837423831 2512271493 11444792357 34334377071 103003131213