Search a number
-
+
3320414243311 = 1131112912896691
BaseRepresentation
bin110000010100011000000…
…111001000100111101111
3102202102120101012022102211
4300110120013020213233
5413400202021241221
611021213252431251
7461614650246664
oct60243007104757
912672511168384
103320414243311
1110701a8306140
12457628018527
131b1162ac3b09
14b69cd351a6b
155b5891e76e1
hex305181c89ef

3320414243311 has 32 divisors (see below), whose sum is σ = 3745892505600. Its totient is φ = 2915898048000.

The previous prime is 3320414243221. The next prime is 3320414243339. The reversal of 3320414243311 is 1133424140233.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3320414243311 is a prime.

It is a super-2 number, since 2×33204142433112 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320414243411) 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 31 ways as a sum of consecutive naturals, for example, 496247476 + ... + 496254166.

It is an arithmetic number, because the mean of its divisors is an integer number (117059140800).

Almost surely, 23320414243311 is an apocalyptic number.

3320414243311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3320414243311 is a deficient number, since it is larger than the sum of its proper divisors (425478262289).

3320414243311 is a wasteful number, since it uses less digits than its factorization.

3320414243311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 3320414243311 its reverse (1133424140233), we get a palindrome (4453838383544).

The spelling of 3320414243311 in words is "three trillion, three hundred twenty billion, four hundred fourteen million, two hundred forty-three thousand, three hundred eleven".

Divisors: 1 11 31 341 1129 1289 6691 12419 14179 34999 39959 73601 207421 384989 439549 1455281 2281631 7554139 8624699 16008091 45113711 83095529 94871689 234178309 267365669 496250821 2575961399 2941022359 9737285171 107110136881 301855840301 3320414243311