Search a number
-
+
31131322112 = 2811231014759
BaseRepresentation
bin11100111111100100…
…100100011100000000
32222100121002000120002
4130333210210130000
51002224104301422
622145044135132
72151314605022
oct347744443400
988317060502
1031131322112
1112225902090
1260499974a8
132c21891777
1417147bc012
15c230ea692
hex73f924700

31131322112 has 144 divisors (see below), whose sum is σ = 71453007360. Its totient is φ = 13398528000.

The previous prime is 31131322111. The next prime is 31131322153. The reversal of 31131322112 is 21122313113.

It is a happy number.

It is a super-2 number, since 2×311313221122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131322111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6539189 + ... + 6543947.

It is an arithmetic number, because the mean of its divisors is an integer number (496201440).

Almost surely, 231131322112 is an apocalyptic number.

31131322112 is a gapful number since it is divisible by the number (32) 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 31131322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35726503680).

31131322112 is an abundant number, since it is smaller than the sum of its proper divisors (40321685248).

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

31131322112 is a wasteful number, since it uses less digits than its factorization.

31131322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4896 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 31131322112 its reverse (21122313113), we get a palindrome (52253635225).

The spelling of 31131322112 in words is "thirty-one billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 101 128 176 184 202 253 256 352 368 404 506 704 736 808 1012 1111 1408 1472 1616 2024 2222 2323 2816 2944 3232 4048 4444 4646 4759 5888 6464 8096 8888 9292 9518 12928 16192 17776 18584 19036 25553 25856 32384 35552 37168 38072 51106 52349 64768 71104 74336 76144 102212 104698 109457 142208 148672 152288 204424 209396 218914 284416 297344 304576 408848 418792 437828 480659 594688 609152 817696 837584 875656 961318 1204027 1218304 1635392 1675168 1751312 1922636 2408054 3270784 3350336 3502624 3845272 4816108 5287249 6541568 6700672 7005248 7690544 9632216 10574498 11055157 13401344 14010496 15381088 19264432 21148996 22110314 28020992 30762176 38528864 42297992 44220628 61524352 77057728 84595984 88441256 121606727 123048704 154115456 169191968 176882512 243213454 308230912 338383936 353765024 486426908 676767872 707530048 972853816 1353535744 1415060096 1945707632 2830120192 3891415264 7782830528 15565661056 31131322112