Search a number
-
+
31112202330120 = 2335898593391301
BaseRepresentation
bin1110001001011110111111…
…10001001010000000001000
311002011022000212121010022110
413010233133301022000020
513034220242244030440
6150100425355022320
76360532243251222
oct704573761120010
9132138025533273
1031112202330120
119a0567a13829a
1235a590573a9a0
131448b39270ab2
14797ba529d412
1538e476b65080
hex1c4bdfc4a008

31112202330120 has 128 divisors (see below), whose sum is σ = 94495238928000. Its totient is φ = 8193814886400.

The previous prime is 31112202330107. The next prime is 31112202330179. The reversal of 31112202330120 is 2103320221113.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7478470 + ... + 10869770.

It is an arithmetic number, because the mean of its divisors is an integer number (738244054125).

Almost surely, 231112202330120 is an apocalyptic number.

31112202330120 is a gapful number since it is divisible by the number (30) 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 31112202330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47247619464000).

31112202330120 is an abundant number, since it is smaller than the sum of its proper divisors (63383036597880).

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

31112202330120 is a wasteful number, since it uses less digits than its factorization.

31112202330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392263 (or 3392259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31112202330120 its reverse (2103320221113), we get a palindrome (33215522551233).

The spelling of 31112202330120 in words is "thirty-one trillion, one hundred twelve billion, two hundred two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 859 890 1068 1335 1718 1780 2136 2577 2670 3436 3560 4295 5154 5340 6872 8590 10308 10680 12885 17180 20616 25770 34360 51540 76451 103080 152902 229353 305804 382255 458706 611608 764510 917412 1146765 1529020 1834824 2293530 3058040 3391301 4587060 6782602 9174120 10173903 13565204 16956505 20347806 27130408 33913010 40695612 50869515 67826020 81391224 101739030 135652040 203478060 301825789 406956120 603651578 905477367 1207303156 1509128945 1810954734 2414606312 2913127559 3018257890 3621909468 4527386835 5826255118 6036515780 7243818936 8739382677 9054773670 11652510236 12073031560 14565637795 17478765354 18109547340 23305020472 29131275590 34957530708 36219094680 43696913385 58262551180 69915061416 87393826770 116525102360 174787653540 259268352751 349575307080 518536705502 777805058253 1037073411004 1296341763755 1555610116506 2074146822008 2592683527510 3111220233012 3889025291265 5185367055020 6222440466024 7778050582530 10370734110040 15556101165060 31112202330120