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3345211442331 = 3211377397691607
BaseRepresentation
bin110000101011011110001…
…000111100010010011011
3102211210120112111112121100
4300223132020330102123
5414301443112123311
611040434030442443
7463453313046603
oct60533610742233
912753515445540
103345211442331
11107a772716850
124603a8663423
131b35b5302145
14b7ca27c7c03
155c03b1aaa56
hex30ade23c49b

3345211442331 has 96 divisors (see below), whose sum is σ = 5431461235200. Its totient is φ = 1966151024640.

The previous prime is 3345211442281. The next prime is 3345211442341. The reversal of 3345211442331 is 1332441125433.

3345211442331 is a `hidden beast` number, since 33 + 45 + 211 + 4 + 42 + 331 = 666.

3345211442331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3345211442331 - 214 = 3345211425947 is a prime.

It is a super-2 number, since 2×33452114423312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345211442341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2081649130 + ... + 2081650736.

It is an arithmetic number, because the mean of its divisors is an integer number (56577721200).

Almost surely, 23345211442331 is an apocalyptic number.

3345211442331 is a deficient number, since it is larger than the sum of its proper divisors (2086249792869).

3345211442331 is a wasteful number, since it uses less digits than its factorization.

3345211442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3166 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 3345211442331 its reverse (1332441125433), we get a palindrome (4677652567764).

The spelling of 3345211442331 in words is "three trillion, three hundred forty-five billion, two hundred eleven million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 739 769 1221 1607 2217 2307 3663 4821 6651 6921 8129 8459 14463 17677 24387 25377 27343 28453 53031 59459 73161 76131 82029 85359 159093 178377 246087 256077 300773 312983 535131 568291 654049 902319 938949 1187573 1235783 1704873 1962147 2706957 2816847 3562719 3707349 5114619 5886441 6251201 10688157 11122047 13063303 13593613 18753603 21026767 39189909 40780839 43940201 45723971 56260809 63080301 117569727 122342517 131820603 137171913 189240903 231294437 395461809 411515739 483342211 502963681 693883311 913243637 1450026633 1508891043 2081649933 2739730911 4350079899 4526673129 8219192733 10045680007 30137040021 33790014569 90411120063 101370043707 304110131121 371690160259 1115070480777 3345211442331