Search a number
-
+
13123030431 = 373061204151
BaseRepresentation
bin11000011100011000…
…11000110110011111
31020212120022000111010
430032030120312133
5203333443433211
610010104030303
7643125626640
oct141614306637
936776260433
1013123030431
115624676aa5
122662a62393
131311a1a084
148c6c336c7
1551c1554a6
hex30e318d9f

13123030431 has 16 divisors (see below), whose sum is σ = 20003629568. Its totient is φ = 7496388000.

The previous prime is 13123030423. The next prime is 13123030513. The reversal of 13123030431 is 13403032131.

It is not a de Polignac number, because 13123030431 - 23 = 13123030423 is a prime.

It is a super-2 number, since 2×131230304312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13123030398 and 13123030407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123030631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37795 + ... + 166356.

It is an arithmetic number, because the mean of its divisors is an integer number (1250226848).

Almost surely, 213123030431 is an apocalyptic number.

13123030431 is a deficient number, since it is larger than the sum of its proper divisors (6880599137).

13123030431 is a wasteful number, since it uses less digits than its factorization.

13123030431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207222.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13123030431 its reverse (13403032131), we get a palindrome (26526062562).

The spelling of 13123030431 in words is "thirteen billion, one hundred twenty-three million, thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 3061 9183 21427 64281 204151 612453 1429057 4287171 624906211 1874718633 4374343477 13123030431