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413122251030 = 235194386319531
BaseRepresentation
bin1100000001100000000…
…00010100100100010110
31110111100012101210100020
412000300000110210112
523232033244013110
6513441415330010
741563361123436
oct6006000244426
91414305353306
10413122251030
1114a227816865
1268095980906
132cc5a144718
1415dd0c722c6
15ab2d947d70
hex6030014916

413122251030 has 128 divisors (see below), whose sum is σ = 1069241057280. Its totient is φ = 101817233280.

The previous prime is 413122251007. The next prime is 413122251041. The reversal of 413122251030 is 30152221314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21142365 + ... + 21161895.

It is an arithmetic number, because the mean of its divisors is an integer number (8353445760).

Almost surely, 2413122251030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413122251030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534620528640).

413122251030 is an abundant number, since it is smaller than the sum of its proper divisors (656118806250).

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

413122251030 is a wasteful number, since it uses less digits than its factorization.

413122251030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20466.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 413122251030 its reverse (30152221314), we get a palindrome (443274472344).

The spelling of 413122251030 in words is "four hundred thirteen billion, one hundred twenty-two million, two hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 863 1290 1634 1726 2451 2589 4085 4315 4902 5178 8170 8630 12255 12945 16397 19531 24510 25890 32794 37109 39062 49191 58593 74218 81985 97655 98382 111327 117186 163970 185545 195310 222654 245955 292965 371089 371090 491910 556635 585930 705071 742178 839833 1113267 1113270 1410142 1679666 1855445 2115213 2226534 2519499 3525355 3710890 4199165 4230426 5038998 5566335 7050710 8398330 10576065 11132670 12597495 15956827 16855253 21152130 25194990 31913654 33710506 47870481 50565759 79784135 84276265 95740962 101131518 159568270 168552530 239352405 252828795 320249807 478704810 505657590 640499614 724775879 960749421 1449551758 1601249035 1921498842 2174327637 3202498070 3623879395 4348655274 4803747105 7247758790 9607494210 10871638185 13770741701 21743276370 27541483402 41312225103 68853708505 82624450206 137707417010 206561125515 413122251030