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31111306512 = 24311135039011
BaseRepresentation
bin11100111110011000…
…001101110100010000
32222022012102010022120
4130332120031310100
51002203443302022
622143051134240
72150652512346
oct347630156420
988265363276
1031111306512
1112215581070
126043144380
132c1a6a4210
141711c8b996
15c21494d5c
hex73e60dd10

31111306512 has 160 divisors (see below), whose sum is σ = 94619943936. Its totient is φ = 8684198400.

The previous prime is 31111306489. The next prime is 31111306519. The reversal of 31111306512 is 21560311113.

It is a super-2 number, since 2×311113065122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31111306519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3448087 + ... + 3457097.

Almost surely, 231111306512 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 31111306512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47309971968).

31111306512 is an abundant number, since it is smaller than the sum of its proper divisors (63508637424).

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

31111306512 is a wasteful number, since it uses less digits than its factorization.

31111306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 31111306512 its reverse (21560311113), we get a palindrome (52671617625).

The spelling of 31111306512 in words is "thirty-one billion, one hundred eleven million, three hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 503 528 572 624 858 1006 1144 1509 1716 2012 2288 3018 3432 4024 5533 6036 6539 6864 8048 9011 11066 12072 13078 16599 18022 19617 22132 24144 26156 27033 33198 36044 39234 44264 52312 54066 66396 71929 72088 78468 88528 99121 104624 108132 117143 132792 143858 144176 156936 198242 215787 216264 234286 265584 287716 297363 313872 351429 396484 431574 432528 468572 575432 594726 702858 792968 863148 937144 1150864 1189452 1288573 1405716 1585936 1726296 1874288 2378904 2577146 2811432 3452592 3865719 4532533 4757808 5154292 5622864 7731438 9065066 10308584 13597599 15462876 18130132 20617168 27195198 30925752 36260264 49857863 54390396 58922929 61851504 72520528 99715726 108780792 117845858 149573589 176768787 199431452 217561584 235691716 299147178 353537574 398862904 471383432 598294356 648152219 707075148 797725808 942766864 1196588712 1296304438 1414150296 1944456657 2393177424 2592608876 2828300592 3888913314 5185217752 7777826628 10370435504 15555653256 31111306512