Search a number
-
+
13883238831 = 371126019091
BaseRepresentation
bin11001110111000000…
…10110100110101111
31022211112202121100210
430323200112212233
5211413102120311
610213341553503
71001016403650
oct147340264657
938745677323
1013883238831
1159847a9900
122835575893
13140337a227
14959ba1527
15563c6c3a6
hex33b8169af

13883238831 has 48 divisors (see below), whose sum is σ = 23294722304. Its totient is φ = 7199280000.

The previous prime is 13883238799. The next prime is 13883238857.

13883238831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13883238831 - 25 = 13883238799 is a prime.

It is a super-2 number, since 2×138832388312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883233831) 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 47 ways as a sum of consecutive naturals, for example, 1522596 + ... + 1531686.

Almost surely, 213883238831 is an apocalyptic number.

13883238831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13883238831 is a deficient number, since it is larger than the sum of its proper divisors (9411483473).

13883238831 is a wasteful number, since it uses less digits than its factorization.

13883238831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9713 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 13883238831 in words is "thirteen billion, eight hundred eighty-three million, two hundred thirty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 601 847 1803 2541 4207 6611 9091 12621 19833 27273 46277 63637 72721 100001 138831 190911 218163 300003 509047 700007 1100011 1527141 2100021 3300033 5463691 7700077 16391073 23100231 38245837 60100601 114737511 180301803 420704207 661106611 1262112621 1983319833 4627746277 13883238831