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31117812 = 22311229739
BaseRepresentation
bin111011010110…
…1000111110100
32011112221121120
41312231013310
530431232222
63030543540
7525332325
oct166550764
964487546
1031117812
1116624300
12a507bb0
1365a6a0b
1441c044c
152aea15c
hex1dad1f4

31117812 has 72 divisors (see below), whose sum is σ = 82672800. Its totient is φ = 9092160.

The previous prime is 31117799. The next prime is 31117813. The reversal of 31117812 is 21871113.

It is a happy number.

It is a super-3 number, since 3×311178123 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31117813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41739 + ... + 42477.

Almost surely, 231117812 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 31117812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41336400).

31117812 is an abundant number, since it is smaller than the sum of its proper divisors (51554988).

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

31117812 is a wasteful number, since it uses less digits than its factorization.

31117812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 31117812 is about 5578.3341599442. The cubic root of 31117812 is about 314.5355109310.

Adding to 31117812 its reverse (21871113), we get a palindrome (52988925).

The spelling of 31117812 in words is "thirty-one million, one hundred seventeen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 739 957 1276 1452 1478 1914 2217 2956 3509 3828 4434 7018 8129 8868 10527 14036 16258 21054 21431 24387 32516 42108 42862 48774 64293 85724 89419 97548 128586 178838 235741 257172 268257 357676 471482 536514 707223 942964 1073028 1414446 2593151 2828892 5186302 7779453 10372604 15558906 31117812