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3113132312232 = 2332223213790731
BaseRepresentation
bin101101010011010101001…
…001010100011010101000
3102000121112112200012102100
4231103111021110122220
5402001143332442412
610342053033333400
7440626215021135
oct55232511243250
912017475605370
103113132312232
11aa02aa038388
12423419867260
1319774ac593a7
14aa9680c558c
1555ea6818edc
hex2d4d52546a8

3113132312232 has 96 divisors (see below), whose sum is σ = 8473265498880. Its totient is φ = 1032562563840.

The previous prime is 3113132312231. The next prime is 3113132312243. The reversal of 3113132312232 is 2322132313113.

3113132312232 is a `hidden beast` number, since 3 + 1 + 1 + 313 + 2 + 312 + 2 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3113132312196 and 3113132312205.

It is not an unprimeable number, because it can be changed into a prime (3113132312231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34266307 + ... + 34357037.

It is an arithmetic number, because the mean of its divisors is an integer number (88263182280).

Almost surely, 23113132312232 is an apocalyptic number.

It is an amenable number.

3113132312232 is an abundant number, since it is smaller than the sum of its proper divisors (5360133186648).

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

3113132312232 is a wasteful number, since it uses less digits than its factorization.

3113132312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93103 (or 93096 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3113132312232 its reverse (2322132313113), we get a palindrome (5435264625345).

The spelling of 3113132312232 in words is "three trillion, one hundred thirteen billion, one hundred thirty-two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2137 2676 4014 4274 5352 6411 8028 8548 12822 16056 17096 19233 25644 38466 51288 76932 90731 153864 181462 272193 362924 476551 544386 725848 816579 953102 1088772 1429653 1633158 1906204 2177544 2859306 3266316 3812408 4288959 5718612 6532632 8577918 11437224 17155836 20233013 34311672 40466026 60699039 80932052 121398078 161864104 182097117 193892147 242796156 364194234 387784294 485592312 581676441 728388468 775568588 1163352882 1456776936 1551137176 1745029323 2326705764 3490058646 4653411528 6980117292 13960234584 43237948781 86475897562 129713846343 172951795124 259427692686 345903590248 389141539029 518855385372 778283078058 1037710770744 1556566156116 3113132312232