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330311133012 = 223710352372997
BaseRepresentation
bin1001100111010000001…
…00111110011101010100
31011120120221200010101010
410303220010332131110
520402434122224022
6411424241532220
732602263206460
oct4635004763524
91146527603333
10330311133012
111180a2029153
1254024644070
13251c07bbc83
1411db6a1b4a0
1588d379550c
hex4ce813e754

330311133012 has 96 divisors (see below), whose sum is σ = 891094177792. Its totient is φ = 93278376576.

The previous prime is 330311132981. The next prime is 330311133041. The reversal of 330311133012 is 210331113033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 330311133012.

It is a congruent number.

It is an unprimeable number.

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, 4488498 + ... + 4561494.

Almost surely, 2330311133012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330311133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445547088896).

330311133012 is an abundant number, since it is smaller than the sum of its proper divisors (560783044780).

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

330311133012 is a wasteful number, since it uses less digits than its factorization.

330311133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73637 (or 73635 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 330311133012 its reverse (210331113033), we get a palindrome (540642246045).

The spelling of 330311133012 in words is "three hundred thirty billion, three hundred eleven million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 523 618 721 1046 1236 1442 1569 2092 2163 2884 3138 3661 4326 6276 7322 8652 10983 14644 21966 43932 53869 72997 107738 145994 161607 215476 218991 291988 323214 377083 437982 510979 646428 754166 875964 1021958 1131249 1508332 1532937 2043916 2262498 3065874 4524996 6131748 7518691 15037382 22556073 30074764 38177431 45112146 52630837 76354862 90224292 105261674 114532293 152709724 157892511 210523348 229064586 267242017 315785022 458129172 534484034 631570044 801726051 1068968068 1603452102 3206904204 3932275393 7864550786 11796826179 15729101572 23593652358 27525927751 47187304716 55051855502 82577783253 110103711004 165155566506 330311133012