Search a number
-
+
113431014405 = 325236711031483
BaseRepresentation
bin110100110100100000…
…0111110110000000101
3101211210012110120022200
41221221000332300011
53324301314430110
6124035352145113
711123632466622
oct1515100766005
9354705416280
10113431014405
114411893a005
1219b97998199
13a909291647
1456c0b45349
152e3d4296c0
hex1a6903ec05

113431014405 has 96 divisors (see below), whose sum is σ = 208553619456. Its totient is φ = 56912499072.

The previous prime is 113431014383. The next prime is 113431014409. The reversal of 113431014405 is 504410134311.

113431014405 is a `hidden beast` number, since 113 + 4 + 3 + 101 + 440 + 5 = 666.

It is not a de Polignac number, because 113431014405 - 212 = 113431010309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113431014409) 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, 76486794 + ... + 76488276.

It is an arithmetic number, because the mean of its divisors is an integer number (2172433536).

Almost surely, 2113431014405 is an apocalyptic number.

113431014405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113431014405 is a deficient number, since it is larger than the sum of its proper divisors (95122605051).

113431014405 is a wasteful number, since it uses less digits than its factorization.

113431014405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113431014405 its reverse (504410134311), we get a palindrome (617841148716).

The spelling of 113431014405 in words is "one hundred thirteen billion, four hundred thirty-one million, fourteen thousand, four hundred five".

Divisors: 1 3 5 9 15 23 45 67 69 115 201 207 335 345 603 1005 1035 1103 1483 1541 3015 3309 4449 4623 5515 7415 7705 9927 13347 13869 16545 22245 23115 25369 34109 49635 66735 69345 73901 76107 99361 102327 126845 170545 221703 228321 298083 306981 369505 380535 496805 511635 665109 894249 1108515 1141605 1490415 1534905 1635749 1699723 2285303 3325545 4471245 4907247 5099169 6855909 8178745 8498615 11426515 14721741 15297507 20567727 24536235 25495845 34279545 37622227 73608705 76487535 102838635 109595183 112866681 188111135 328785549 338600043 547975915 564333405 986356647 1643927745 1693000215 2520689209 4931783235 7562067627 12603446045 22686202881 37810338135 113431014405