Search a number
-
+
323131010034 = 23789193447901
BaseRepresentation
bin1001011001111000001…
…10111110101111110010
31010220001120000002022110
410230330012332233302
520243233014310114
6404235550550150
732226326160360
oct4547406765762
91126046002273
10323131010034
11115048038518
125275bb08356
132461809b1b1
14118d51b4630
15861324b759
hex4b3c1bebf2

323131010034 has 64 divisors (see below), whose sum is σ = 750755416320. Its totient is φ = 90812620800.

The previous prime is 323131010023. The next prime is 323131010047. The reversal of 323131010034 is 430010131323.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 497484 + ... + 945384.

It is an arithmetic number, because the mean of its divisors is an integer number (11730553380).

Almost surely, 2323131010034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323131010034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375377708160).

323131010034 is an abundant number, since it is smaller than the sum of its proper divisors (427624406286).

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

323131010034 is a wasteful number, since it uses less digits than its factorization.

323131010034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448195.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 323131010034 its reverse (430010131323), we get a palindrome (753141141357).

The spelling of 323131010034 in words is "three hundred twenty-three billion, one hundred thirty-one million, ten thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 89 178 193 267 386 534 579 623 1158 1246 1351 1869 2702 3738 4053 8106 17177 34354 51531 103062 120239 240478 360717 447901 721434 895802 1343703 2687406 3135307 6270614 9405921 18811842 39863189 79726378 86444893 119589567 172889786 239179134 259334679 279042323 518669358 558084646 605114251 837126969 1210228502 1674253938 1815342753 3630685506 7693595477 15387190954 23080786431 46161572862 53855168339 107710336678 161565505017 323131010034