Search a number
-
+
3131831011204 = 227219266532
BaseRepresentation
bin101101100100101111101…
…011001100011110000100
3102002101210200120112020201
4231210233223030132010
5402302442214324304
610354424315340244
7442160456235400
oct55445753143604
912071720515221
103131831011204
11aa8224a60705
12426b77a51684
1319943ab61acc
14ab81d62c100
15566ed1d93a4
hex2d92facc784

3131831011204 has 81 divisors (see below), whose sum is σ = 6729738688197. Its totient is φ = 1271379358368.

The previous prime is 3131831011189. The next prime is 3131831011241. The reversal of 3131831011204 is 4021101381313.

The square root of 3131831011204 is 1769698.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75795596100 + 3056035415104 = 275310^2 + 1748152^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 470736342 + ... + 470742994.

Almost surely, 23131831011204 is an apocalyptic number.

3131831011204 is the 1769698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131831011204

3131831011204 is an abundant number, since it is smaller than the sum of its proper divisors (3597907676993).

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

3131831011204 is an frugal number, since it uses more digits than its factorization.

3131831011204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 3131831011204 its reverse (4021101381313), we get a palindrome (7152932392517).

The spelling of 3131831011204 in words is "three trillion, one hundred thirty-one billion, eight hundred thirty-one million, eleven thousand, two hundred four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 6653 10108 13306 17689 26612 35378 46571 70756 93142 126407 186284 252814 325997 505628 651994 884849 1303988 1769698 2401733 3539396 4803466 6193943 9606932 12387886 16812131 24775772 33624262 44262409 67248524 88524818 117684917 177049636 235369834 309836863 470739668 619673726 840985771 1239347452 1681971542 2168858041 3363943084 4337716082 5886900397 8675432164 11773800794 15978729649 23547601588 31957459298 41208302779 63914918596 82416605558 111851107543 164833211116 223702215086 447404430172 782957752801 1565915505602 3131831011204