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31341101022 = 23271188125667
BaseRepresentation
bin11101001100000100…
…110011111111011110
32222220012210220010100
4131030010303333132
51003141310213042
622221540321530
72156442651240
oct351404637736
988805726110
1031341101022
1112323264090
1260a80a32a6
132c56190aba
1417345c8090
15c3673724c
hex74c133fde

31341101022 has 96 divisors (see below), whose sum is σ = 84761074944. Its totient is φ = 8130988800.

The previous prime is 31341101017. The next prime is 31341101053. The reversal of 31341101022 is 22010114313.

It is a super-2 number, since 2×313411010222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31341100986 and 31341101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208233 + ... + 1233899.

It is an arithmetic number, because the mean of its divisors is an integer number (882927864).

Almost surely, 231341101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42380537472).

31341101022 is an abundant number, since it is smaller than the sum of its proper divisors (53419973922).

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

31341101022 is a wasteful number, since it uses less digits than its factorization.

31341101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31341101022 its reverse (22010114313), we get a palindrome (53351215335).

The spelling of 31341101022 in words is "thirty-one billion, three hundred forty-one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 881 1386 1762 2643 5286 6167 7929 9691 12334 15858 18501 19382 25667 29073 37002 51334 55503 58146 67837 77001 87219 111006 135674 154002 174438 179669 203511 231003 282337 359338 407022 462006 539007 564674 610533 847011 1078014 1221066 1617021 1694022 1976359 2541033 3234042 3952718 5082066 5929077 11858154 17787231 22612627 35574462 45225254 67837881 135675762 158288389 203513643 248738897 316576778 407027286 474865167 497477794 746216691 949730334 1424595501 1492433382 1741172279 2238650073 2849191002 3482344558 4477300146 5223516837 10447033674 15670550511 31341101022