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31331143340 = 22571013536277
BaseRepresentation
bin11101001011011110…
…110100111010101100
32222212112001222202022
4131023132310322230
51003131233041330
622220543045312
72156262216140
oct351336647254
988775058668
1031331143340
11123186827a2
1260a48a0838
132c540b5593
141733155220
15c3591bae5
hex74b7b4eac

31331143340 has 96 divisors (see below), whose sum is σ = 76166504064. Its totient is φ = 10603929600.

The previous prime is 31331143313. The next prime is 31331143343. The reversal of 31331143340 is 4334113313.

It is a super-3 number, since 3×313311433403 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31331143343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4988282 + ... + 4994558.

It is an arithmetic number, because the mean of its divisors is an integer number (793401084).

Almost surely, 231331143340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38083252032).

31331143340 is an abundant number, since it is smaller than the sum of its proper divisors (44835360724).

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

31331143340 is a wasteful number, since it uses less digits than its factorization.

31331143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 31331143340 its reverse (4334113313), we get a palindrome (35665256653).

The spelling of 31331143340 in words is "thirty-one billion, three hundred thirty-one million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 353 404 505 706 707 1010 1412 1414 1765 2020 2471 2828 3530 3535 4942 6277 7060 7070 9884 12355 12554 14140 24710 25108 31385 35653 43939 49420 62770 71306 87878 125540 142612 175756 178265 219695 249571 356530 439390 499142 633977 713060 878780 998284 1247855 1267954 2215781 2495710 2535908 3169885 4431562 4437839 4991420 6339770 8863124 8875678 11078905 12679540 15510467 17751356 22157810 22189195 31020934 44315620 44378390 62041868 77552335 88756780 155104670 223793881 310209340 447587762 895175524 1118969405 1566557167 2237938810 3133114334 4475877620 6266228668 7832785835 15665571670 31331143340