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31212311112306 = 235188933998339
BaseRepresentation
bin1110001100011001011101…
…01101110110101001110010
311002111212102121221011200000
413012030232231312221302
513042340303121043211
6150214423205410430
76401005111000032
oct706145655665162
9132455377834600
1031212311112306
119a44080a13025
1236011a3a09a16
13145540147a49c
1479c9809598c2
15391d856db656
hex1c632eb76a72

31212311112306 has 48 divisors (see below), whose sum is σ = 70168493959200. Its totient is φ = 10398595667328.

The previous prime is 31212311112299. The next prime is 31212311112317. The reversal of 31212311112306 is 60321111321213.

31212311112306 is a `hidden beast` number, since 3 + 1 + 212 + 31 + 1 + 112 + 306 = 666.

It is a super-2 number, since 2×312123111123062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31212311112306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16081116 + ... + 17917223.

It is an arithmetic number, because the mean of its divisors is an integer number (1461843624150).

Almost surely, 231212311112306 is an apocalyptic number.

31212311112306 is an abundant number, since it is smaller than the sum of its proper divisors (38956182846894).

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

31212311112306 is a wasteful number, since it uses less digits than its factorization.

31212311112306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34000245 (or 34000233 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 31212311112306 its reverse (60321111321213), we get a palindrome (91533422433519).

The spelling of 31212311112306 in words is "thirty-one trillion, two hundred twelve billion, three hundred eleven million, one hundred twelve thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1889 3778 5667 11334 17001 34002 51003 102006 153009 306018 459027 918054 33998339 67996678 101995017 203990034 305985051 611970102 917955153 1835910306 2753865459 5507730918 8261596377 16523192754 64222862371 128445724742 192668587113 385337174226 578005761339 1156011522678 1734017284017 3468034568034 5202051852051 10404103704102 15606155556153 31212311112306