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31112030310 = 23517237137357
BaseRepresentation
bin11100111110011010…
…111110100001100110
32222022020202220011220
4130332122332201212
51002204134432220
622143114441210
72150661615504
oct347632764146
988266686156
1031112030310
1112215a25949
126043433206
132c1a8987ba
141711dd9674
15c21589540
hex73e6be866

31112030310 has 128 divisors (see below), whose sum is σ = 83662792704. Its totient is φ = 7363614720.

The previous prime is 31112030309. The next prime is 31112030317. The reversal of 31112030310 is 1303021113.

It is a super-2 number, since 2×311120303102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31112030310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112030317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814152 + ... + 851508.

It is an arithmetic number, because the mean of its divisors is an integer number (653615568).

Almost surely, 231112030310 is an apocalyptic number.

31112030310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41831396352).

31112030310 is an abundant number, since it is smaller than the sum of its proper divisors (52550762394).

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

31112030310 is a wasteful number, since it uses less digits than its factorization.

31112030310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37478.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31112030310 its reverse (1303021113), we get a palindrome (32415051423).

The spelling of 31112030310 in words is "thirty-one billion, one hundred twelve million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 71 85 102 115 138 142 170 213 230 255 345 355 391 426 510 690 710 782 1065 1173 1207 1633 1955 2130 2346 2414 3266 3621 3910 4899 5865 6035 7242 8165 9798 11730 12070 16330 18105 24495 27761 36210 37357 48990 55522 74714 83283 112071 138805 166566 186785 224142 277610 373570 416415 560355 635069 832830 859211 1120710 1270138 1718422 1905207 2577633 2652347 3175345 3810414 4296055 5155266 5304694 6350690 7957041 8592110 9526035 12888165 13261735 14606587 15914082 19052070 25776330 26523470 29213174 39785205 43819761 45089899 61003981 73032935 79570410 87639522 90179798 122007962 135269697 146065870 183011943 219098805 225449495 270539394 305019905 366023886 438197610 450898990 610039810 676348485 915059715 1037067677 1352696970 1830119430 2074135354 3111203031 5185338385 6222406062 10370676770 15556015155 31112030310