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31334123340 = 2232513121711003
BaseRepresentation
bin11101001011101010…
…001100011101001100
32222212201200101112200
4131023222030131030
51003133013421330
622221131001500
72156326440162
oct351352143514
988781611480
1031334123340
111231a328703
1260a5899290
132c548b9ab0
1417336cd232
15c35d09a60
hex74ba8c74c

31334123340 has 144 divisors (see below), whose sum is σ = 102451553568. Its totient is φ = 7705976832.

The previous prime is 31334123309. The next prime is 31334123341. The reversal of 31334123340 is 4332143313.

31334123340 is a `hidden beast` number, since 313 + 3 + 4 + 1 + 2 + 3 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (31334123341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842279 + ... + 2853281.

It is an arithmetic number, because the mean of its divisors is an integer number (711469122).

Almost surely, 231334123340 is an apocalyptic number.

31334123340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51225776784).

31334123340 is an abundant number, since it is smaller than the sum of its proper divisors (71117430228).

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

31334123340 is a wasteful number, since it uses less digits than its factorization.

31334123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12243 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31334123340 its reverse (4332143313), we get a palindrome (35666266653).

The spelling of 31334123340 in words is "thirty-one billion, three hundred thirty-four million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1217 2340 2434 3651 4868 6085 7302 10953 11003 12170 14604 15821 18255 21906 22006 24340 31642 33009 36510 43812 44012 47463 54765 55015 63284 66018 73020 79105 94926 99027 109530 110030 132036 142389 143039 158210 165045 189852 198054 219060 220060 237315 284778 286078 316420 330090 396108 429117 474630 495135 569556 572156 660180 711945 715195 858234 949260 990270 1287351 1423890 1430390 1716468 1980540 2145585 2574702 2847780 2860780 4291170 5149404 6436755 8582340 12873510 13390651 25747020 26781302 40171953 53562604 66953255 80343906 120515859 133906510 160687812 174078463 200859765 241031718 267813020 348156926 401719530 482063436 522235389 602579295 696313852 803439060 870392315 1044470778 1205158590 1566706167 1740784630 2088941556 2410317180 2611176945 3133412334 3481569260 5222353890 6266824668 7833530835 10444707780 15667061670 31334123340