Search a number
-
+
103113023211 = 321117922725633
BaseRepresentation
bin110000000001000000…
…0111101111011101011
3100212011010100022021200
41200002000331323223
53142133413220321
6115211445535243
710310144143632
oct1400200757353
9325133308250
10103113023211
113a803682560
1217b98414523
139953747403
144dc2688519
152a376a6d26
hex180203deeb

103113023211 has 48 divisors (see below), whose sum is σ = 164115020160. Its totient is φ = 61867445760.

The previous prime is 103113023207. The next prime is 103113023243. The reversal of 103113023211 is 112320311301.

103113023211 is a `hidden beast` number, since 1 + 0 + 311 + 30 + 2 + 321 + 1 = 666.

It is not a de Polignac number, because 103113023211 - 22 = 103113023207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103113023281) 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 47 ways as a sum of consecutive naturals, for example, 4009851 + ... + 4035483.

It is an arithmetic number, because the mean of its divisors is an integer number (3419062920).

Almost surely, 2103113023211 is an apocalyptic number.

103113023211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103113023211 is a deficient number, since it is larger than the sum of its proper divisors (61001996949).

103113023211 is a wasteful number, since it uses less digits than its factorization.

103113023211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26056 (or 26053 counting only the distinct ones).

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

Adding to 103113023211 its reverse (112320311301), we get a palindrome (215433334512).

The spelling of 103113023211 in words is "one hundred three billion, one hundred thirteen million, twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 179 227 537 681 1611 1969 2043 2497 5907 7491 17721 22473 25633 40633 76899 121899 230697 281963 365697 446963 845889 1340889 2537667 4022667 4588307 5818691 13764921 17456073 41294763 50471377 52368219 64005601 151414131 192016803 454242393 576050409 1041545689 3124637067 9373911201 11457002579 34371007737 103113023211