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111231020313 = 3471920994919
BaseRepresentation
bin110011110010111100…
…0101010110100011001
3101122002212210021210000
41213211320222310121
53310300120122223
6123033202443213
711015260033650
oct1474570526431
9348085707700
10111231020313
114319a013976
1219683063509
13a6485628aa
1455528aa197
152d6020e543
hex19e5e2ad19

111231020313 has 80 divisors (see below), whose sum is σ = 200027520000. Its totient is φ = 60174366048.

The previous prime is 111231020273. The next prime is 111231020323. The reversal of 111231020313 is 313020132111.

111231020313 is a `hidden beast` number, since 11 + 12 + 310 + 20 + 313 = 666.

It is a de Polignac number, because none of the positive numbers 2k-111231020313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111231020323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22610068 + ... + 22614986.

It is an arithmetic number, because the mean of its divisors is an integer number (2500344000).

Almost surely, 2111231020313 is an apocalyptic number.

It is an amenable number.

111231020313 is a deficient number, since it is larger than the sum of its proper divisors (88796499687).

111231020313 is a wasteful number, since it uses less digits than its factorization.

111231020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7047 counting only the distinct ones).

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

Adding to 111231020313 its reverse (313020132111), we get a palindrome (424251152424).

The spelling of 111231020313 in words is "one hundred eleven billion, two hundred thirty-one million, twenty thousand, three hundred thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 2099 3591 4919 6297 10773 14693 14757 18891 34433 39881 44079 44271 56673 93461 103299 119643 132237 132813 170019 279167 280383 309897 358929 396711 398439 654227 837501 841149 929691 1076787 1190133 1962681 2512503 2523447 2789073 3230361 5888043 7537509 7570341 10324981 17664129 22612527 30974943 52992387 72274867 92924829 196174639 216824601 278774487 588523917 650473803 836323461 1373222473 1765571751 1951421409 4119667419 5296715253 5854264227 12359002257 15890145759 37077006771 111231020313