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31132423113 = 311241101139149
BaseRepresentation
bin11100111111101000…
…110001001111001001
32222100200010221211220
4130333220301033021
51002224400014423
622145123512253
72151330141651
oct347750611711
988320127756
1031132423113
1112226494300
12604a228689
132c21b8894c
1417149c7361
15c232669e3
hex73fa313c9

31132423113 has 96 divisors (see below), whose sum is σ = 47860848000. Its totient is φ = 17973120000.

The previous prime is 31132423079. The next prime is 31132423121.

31132423113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31132423113 - 225 = 31098868681 is a prime.

It is a super-2 number, since 2×311324231132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31132493113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208942363 + ... + 208942511.

It is an arithmetic number, because the mean of its divisors is an integer number (498550500).

Almost surely, 231132423113 is an apocalyptic number.

31132423113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31132423113 is a deficient number, since it is larger than the sum of its proper divisors (16728424887).

31132423113 is a wasteful number, since it uses less digits than its factorization.

31132423113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The spelling of 31132423113 in words is "thirty-one billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 11 33 41 101 121 123 139 149 303 363 417 447 451 1111 1353 1529 1639 3333 4141 4587 4917 4961 5699 6109 12221 12423 14039 14883 15049 16819 17097 18029 18327 20711 36663 42117 45147 45551 50457 54087 62133 62689 67199 136653 154429 165539 188067 201597 227821 463287 496617 501061 575599 617009 683463 689579 739189 849151 1503183 1698719 1726797 1820929 1851027 2068737 2091811 2217567 2506031 2547453 5096157 5462787 6275433 6331589 6787099 7518093 9340661 18994767 20361297 23009921 28021983 69029763 69647479 74658089 85764251 102747271 208942437 223974267 253109131 257292753 308241813 759327393 943406761 2830220283 10377474371 31132423113