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3313120212 = 2233194573533
BaseRepresentation
bin1100010101111010…
…0011001111010100
322112220012221112000
43011132203033110
523241124321322
61304431355300
7145050025413
oct30536431724
98486187460
103313120212
111450196286
12785682b30
1340a52717c
1423603347a
15145ce53ac
hexc57a33d4

3313120212 has 96 divisors (see below), whose sum is σ = 9064003200. Its totient is φ = 1043663616.

The previous prime is 3313120211. The next prime is 3313120241. The reversal of 3313120212 is 2120213133.

3313120212 is a `hidden beast` number, since 331 + 3 + 120 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935998 + ... + 939530.

It is an arithmetic number, because the mean of its divisors is an integer number (94416700).

Almost surely, 23313120212 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 3313120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532001600).

3313120212 is an abundant number, since it is smaller than the sum of its proper divisors (5750882988).

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

3313120212 is a wasteful number, since it uses less digits than its factorization.

3313120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3313120212 is about 57559.7099714722. The cubic root of 3313120212 is about 1490.7760190493.

Adding to 3313120212 its reverse (2120213133), we get a palindrome (5433333345).

The spelling of 3313120212 in words is "three billion, three hundred thirteen million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 457 513 684 914 1026 1371 1828 2052 2742 3533 4113 5484 7066 8226 8683 10599 12339 14132 16452 17366 21198 24678 26049 31797 34732 42396 49356 52098 63594 67127 78147 95391 104196 127188 134254 156294 190782 201381 234441 268508 312588 381564 402762 468882 604143 805524 937764 1208286 1614581 1812429 2416572 3229162 3624858 4843743 6458324 7249716 9687486 14531229 19374972 29062458 30677039 43593687 58124916 61354078 87187374 92031117 122708156 174374748 184062234 276093351 368124468 552186702 828280053 1104373404 1656560106 3313120212