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331132021133301 = 3419289617429319
BaseRepresentation
bin100101101001010011010111…
…0011111100100111111110101
31121102102220121220010020010000
41023102212232133210333311
5321400231334402231201
63132131541145021513
7126514333113063513
oct11322465637447765
91542386556106100
10331132021133301
11965663353769a3
123117b72ba84899
131129c80064a98b
145baac37cd14b3
15284378539bd86
hex12d29ae7e4ff5

331132021133301 has 40 divisors (see below), whose sum is σ = 520706477332800. Its totient is φ = 209128763900160.

The previous prime is 331132021133299. The next prime is 331132021133357. The reversal of 331132021133301 is 103331120231133.

331132021133301 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 320 + 2 + 1 + 1 + 3 + 330 + 1 = 666.

It is not a de Polignac number, because 331132021133301 - 21 = 331132021133299 is a prime.

It is a super-2 number, since 2×3311320211333012 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132021133701) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40856320 + ... + 48285638.

It is an arithmetic number, because the mean of its divisors is an integer number (13017661933320).

Almost surely, 2331132021133301 is an apocalyptic number.

It is an amenable number.

331132021133301 is a deficient number, since it is larger than the sum of its proper divisors (189574456199499).

331132021133301 is a wasteful number, since it uses less digits than its factorization.

331132021133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458311 (or 7458302 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331132021133301 its reverse (103331120231133), we get a palindrome (434463141364434).

The spelling of 331132021133301 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, twenty-one million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 28961 86883 260649 550259 781947 1650777 2345841 4952331 7429319 14856993 22287957 44570979 66863871 141157061 200591613 423471183 601774839 1270413549 3811240647 11433721941 215160507559 645481522677 1936444568031 4088049643621 5809333704093 12264148930863 17428001112279 36792446792589 110377340377767 331132021133301