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331012012002 = 23747181192593
BaseRepresentation
bin1001101000100011101…
…10100111011111100010
31011122101210111110121020
410310101312213133202
520410403033341002
6412022000110310
732625533451450
oct4642166473742
91148353443536
10331012012002
11118421718991
125419b305396
13252a2a78479
1412041b439d0
15892508d2bc
hex4d11da77e2

331012012002 has 64 divisors (see below), whose sum is σ = 773131751424. Its totient is φ = 92510519040.

The previous prime is 331012011977. The next prime is 331012012003. The reversal of 331012012002 is 200210210133.

It is a super-2 number, since 2×3310120120022 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331012012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3528618 + ... + 3621210.

It is an arithmetic number, because the mean of its divisors is an integer number (12080183616).

Almost surely, 2331012012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386565875712).

331012012002 is an abundant number, since it is smaller than the sum of its proper divisors (442119739422).

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

331012012002 is a wasteful number, since it uses less digits than its factorization.

331012012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94463.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 331012012002 its reverse (200210210133), we get a palindrome (531222222135).

The spelling of 331012012002 in words is "three hundred thirty-one billion, twelve million, twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1811 1974 3622 5433 10866 12677 25354 38031 76062 85117 92593 170234 185186 255351 277779 510702 555558 595819 648151 1191638 1296302 1787457 1944453 3574914 3888906 4351871 8703742 13055613 26111226 30463097 60926194 91389291 167685923 182778582 335371846 503057769 1006115538 1173801461 2347602922 3521404383 7042808766 7881238381 15762476762 23643715143 47287430286 55168668667 110337337334 165506006001 331012012002