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31542311034 = 23313421106727
BaseRepresentation
bin11101011000000100…
…010111100001111010
310000102020102102101000
4131120010113201322
51004044312423114
622253525105430
72164435135323
oct353004274172
9100366372330
1031542311034
11124168a3153
126143558276
132c88a7ca90
14175320344a
15c4922ee09
hex75811787a

31542311034 has 64 divisors (see below), whose sum is σ = 75665882880. Its totient is φ = 9682182720.

The previous prime is 31542311023. The next prime is 31542311051. The reversal of 31542311034 is 43011324513.

It is a happy number.

31542311034 is a `hidden beast` number, since 3 + 1 + 542 + 3 + 110 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31542310989 and 31542311007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242179 + ... + 348905.

It is an arithmetic number, because the mean of its divisors is an integer number (1182279420).

Almost surely, 231542311034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31542311034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37832941440).

31542311034 is an abundant number, since it is smaller than the sum of its proper divisors (44123571846).

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

31542311034 is a wasteful number, since it uses less digits than its factorization.

31542311034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107172 (or 107166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31542311034 its reverse (43011324513), we get a palindrome (74553635547).

The spelling of 31542311034 in words is "thirty-one billion, five hundred forty-two million, three hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 421 702 842 1263 2526 3789 5473 7578 10946 11367 16419 22734 32838 49257 98514 106727 147771 213454 295542 320181 640362 960543 1387451 1921086 2774902 2881629 4162353 5763258 8324706 12487059 24974118 37461177 44932067 74922354 89864134 134796201 269592402 404388603 584116871 808777206 1168233742 1213165809 1752350613 2426331618 3504701226 5257051839 10514103678 15771155517 31542311034