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31001412 = 223133741131
BaseRepresentation
bin111011001000…
…0101101000100
32011100000221110
41312100231010
530414021122
63024245020
7524336061
oct166205504
964300843
1031001412
1116554902
12a470770
136565a40
14418dc68
152ac590c
hex1d90b44

31001412 has 96 divisors (see below), whose sum is σ = 82583424. Its totient is φ = 8985600.

The previous prime is 31001393. The next prime is 31001419. The reversal of 31001412 is 21410013.

It is a happy number.

It is a super-2 number, since 2×310014122 = 1922175091987488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31001419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236587 + ... + 236717.

It is an arithmetic number, because the mean of its divisors is an integer number (860244).

Almost surely, 231001412 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 31001412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41291712).

31001412 is an abundant number, since it is smaller than the sum of its proper divisors (51582012).

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

31001412 is a wasteful number, since it uses less digits than its factorization.

31001412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31001412 is about 5567.8911627294. The cubic root of 31001412 is about 314.1428346608.

Adding to 31001412 its reverse (21410013), we get a palindrome (52411425).

It can be divided in two parts, 31001 and 412, that added together give a palindrome (31413).

The spelling of 31001412 in words is "thirty-one million, one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 41 52 74 78 82 111 123 131 148 156 164 222 246 262 393 444 481 492 524 533 786 962 1066 1443 1517 1572 1599 1703 1924 2132 2886 3034 3198 3406 4551 4847 5109 5371 5772 6068 6396 6812 9102 9694 10218 10742 14541 16113 18204 19388 19721 20436 21484 29082 32226 39442 58164 59163 63011 64452 69823 78884 118326 126022 139646 189033 198727 209469 236652 252044 279292 378066 397454 418938 596181 756132 794908 837876 1192362 2384724 2583451 5166902 7750353 10333804 15500706 31001412