Search a number
-
+
330034104020022 = 232929321293040649
BaseRepresentation
bin100101100001010100000110…
…1100010001010110000110110
31121021112221201011101001210220
41023002220031202022300312
5321224234321112120042
63125531324014555210
7126342114522436143
oct11302501542126066
91537487634331726
10330034104020022
119618274a825596
12310229a1808b06
131122010c24b06c
145b6da432db3ca
152824e276d28ec
hex12c2a0d88ac36

330034104020022 has 64 divisors (see below), whose sum is σ = 685481703480000. Its totient is φ = 105805598732288.

The previous prime is 330034104020021. The next prime is 330034104020059. The reversal of 330034104020022 is 220020401430033.

It is a junction number, because it is equal to n+sod(n) for n = 330034104019974 and 330034104020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034104020021) 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, 107020354 + ... + 110061002.

It is an arithmetic number, because the mean of its divisors is an integer number (10710651616875).

Almost surely, 2330034104020022 is an apocalyptic number.

330034104020022 is an abundant number, since it is smaller than the sum of its proper divisors (355447599459978).

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

330034104020022 is a wasteful number, since it uses less digits than its factorization.

330034104020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043105.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 330034104020022 its reverse (220020401430033), we get a palindrome (550054505450055).

The spelling of 330034104020022 in words is "three hundred thirty trillion, thirty-four billion, one hundred four million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 29 58 87 174 293 586 879 1758 2129 4258 6387 8497 12774 16994 25491 50982 61741 123482 185223 370446 623797 1247594 1871391 3040649 3742782 6081298 9121947 18090113 18243894 36180226 54270339 88178821 108540678 176357642 264536463 529072926 890910157 1781820314 2672730471 5345460942 6473541721 12947083442 19420625163 25836394553 38841250326 51672789106 77509183659 155018367318 187732709909 375465419818 563198129727 1126396259454 1896747724253 3793495448506 5690243172759 11380486345518 55005684003337 110011368006674 165017052010011 330034104020022