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31082230074 = 23721913940031
BaseRepresentation
bin11100111100101001…
…010011000100111010
32222020011200212221110
4130330221103010322
51002124022330244
622140132021150
72150150411400
oct347451230472
988204625843
1031082230074
1112200121555
1260354617b6
132c1466371c
14170c07d470
15c1db4e9b9
hex73ca5313a

31082230074 has 96 divisors (see below), whose sum is σ = 76669286400. Its totient is φ = 8352499680.

The previous prime is 31082230009. The next prime is 31082230097. The reversal of 31082230074 is 47003228013.

It is a super-2 number, since 2×310822300742 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756439 + ... + 796469.

It is an arithmetic number, because the mean of its divisors is an integer number (798638400).

Almost surely, 231082230074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31082230074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38334643200).

31082230074 is an abundant number, since it is smaller than the sum of its proper divisors (45587056326).

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

31082230074 is a wasteful number, since it uses less digits than its factorization.

31082230074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40208 (or 40201 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 31082230074 its reverse (47003228013), we get a palindrome (78085458087).

The spelling of 31082230074 in words is "thirty-one billion, eighty-two million, two hundred thirty thousand, seventy-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 139 147 266 278 294 399 417 798 834 931 973 1862 1946 2641 2793 2919 5282 5586 5838 6811 7923 13622 15846 18487 20433 36974 40031 40866 55461 80062 110922 120093 129409 240186 258818 280217 388227 560434 760589 776454 840651 1521178 1681302 1961519 2281767 3923038 4563534 5324123 5564309 5884557 10648246 11128618 11769114 15972369 16692927 31944738 33385854 37268861 38950163 74537722 77900326 105721871 111806583 116850489 211443742 223613166 233700978 272651141 317165613 545302282 634331226 740053097 817953423 1480106194 1635906846 2220159291 4440318582 5180371679 10360743358 15541115037 31082230074