Search a number
-
+
311222132020332 = 223213665004555599
BaseRepresentation
bin100011011000011100000110…
…0101000000001010001101100
31111210221112201111012001222200
41012300320030220001101230
5311243030411244122312
63021525250151541500
7122361025362663141
oct10660701450012154
91453845644161880
10311222132020332
119018a623a88025
122aaa4b2638a890
1310487176142250
1456bd3355983c8
1525ea9064980dc
hex11b0e0ca0146c

311222132020332 has 36 divisors (see below), whose sum is σ = 847215803834400. Its totient is φ = 95760656006112.

The previous prime is 311222132020321. The next prime is 311222132020379. The reversal of 311222132020332 is 233020231222113.

311222132020332 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 2 + 2 + 1 + 320 + 2 + 0 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3112221320203322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311222132020296 and 311222132020305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332502277332 + ... + 332502278267.

Almost surely, 2311222132020332 is an apocalyptic number.

It is an amenable number.

311222132020332 is an abundant number, since it is smaller than the sum of its proper divisors (535993671814068).

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

311222132020332 is a wasteful number, since it uses less digits than its factorization.

311222132020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665004555622 (or 665004555617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 311222132020332 its reverse (233020231222113), we get a palindrome (544242363242445).

The spelling of 311222132020332 in words is "three hundred eleven trillion, two hundred twenty-two billion, one hundred thirty-two million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 665004555599 1330009111198 1995013666797 2660018222396 3990027333594 5985041000391 7980054667188 8645059222787 11970082000782 17290118445574 23940164001564 25935177668361 34580236891148 51870355336722 77805533005083 103740710673444 155611066010166 311222132020332