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1312311294 = 23571722691
BaseRepresentation
bin100111000111000…
…0100011111111110
310101110100022200000
41032032010133332
510141422430134
6334115215130
744343314310
oct11616043776
93343308600
101312311294
11613846998
123075a74a6
1317bb58878
14c64077b0
157a322e99
hex4e3847fe

1312311294 has 96 divisors (see below), whose sum is σ = 3568271616. Its totient is φ = 352874880.

The previous prime is 1312311283. The next prime is 1312311317. The reversal of 1312311294 is 4921132131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46489 + ... + 69179.

It is an arithmetic number, because the mean of its divisors is an integer number (37169496).

Almost surely, 21312311294 is an apocalyptic number.

1312311294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312311294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784135808).

1312311294 is an abundant number, since it is smaller than the sum of its proper divisors (2255960322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312311294 is a wasteful number, since it uses less digits than its factorization.

1312311294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22720 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1312311294 is about 36225.8373816258. The cubic root of 1312311294 is about 1094.8273099784.

The spelling of 1312311294 in words is "one billion, three hundred twelve million, three hundred eleven thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1701 2142 2754 3213 3402 4131 6426 8262 9639 19278 22691 28917 45382 57834 68073 136146 158837 204219 317674 385747 408438 476511 612657 771494 953022 1157241 1225314 1429533 1837971 2314482 2700229 2859066 3471723 3675942 4288599 5400458 5513913 6943446 8100687 8577198 10415169 11027826 12865797 16201374 20830338 24302061 25731594 31245507 38597391 48604122 62491014 72906183 77194782 93736521 145812366 187473042 218718549 437437098 656155647 1312311294