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331213412046 = 2311211317472311
BaseRepresentation
bin1001101000111011101…
…10111001011011001110
31011122220211110122112010
410310131312321123032
520411311113141141
6412053552522050
732633530356546
oct4643566713316
91148824418463
10331213412046
11118515377800
1254236850326
1325305702aaa
14120607ac326
158937ac2416
hex4d1ddb96ce

331213412046 has 96 divisors (see below), whose sum is σ = 735304114944. Its totient is φ = 99379526400.

The previous prime is 331213412041. The next prime is 331213412069. The reversal of 331213412046 is 640214312133.

It is a super-2 number, since 2×3312134120462 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143319231 + ... + 143321541.

It is an arithmetic number, because the mean of its divisors is an integer number (7659417864).

Almost surely, 2331213412046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331213412046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367652057472).

331213412046 is an abundant number, since it is smaller than the sum of its proper divisors (404090702898).

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

331213412046 is a wasteful number, since it uses less digits than its factorization.

331213412046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 331213412046 its reverse (640214312133), we get a palindrome (971427724179).

The spelling of 331213412046 in words is "three hundred thirty-one billion, two hundred thirteen million, four hundred twelve thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 339 363 678 726 1243 1747 2311 2486 3494 3729 4622 5241 6933 7458 10482 13673 13866 19217 25421 27346 38434 41019 50842 57651 76263 82038 115302 152526 197411 211387 261143 279631 394822 422774 522286 559262 592233 634161 783429 838893 1184466 1268322 1566858 1677786 2171521 2872573 4037317 4343042 5745146 6514563 8074634 8617719 12111951 13029126 17235438 23886731 24223902 31598303 44410487 47773462 63196606 71660193 88820974 94794909 133231461 143320386 189589818 266462922 456216821 488515357 912433642 977030714 1368650463 1465546071 2737300926 2931092142 5018385031 10036770062 15055155093 30110310186 55202235341 110404470682 165606706023 331213412046