Search a number
-
+
31013330330100 = 22352293681352007
BaseRepresentation
bin1110000110100110110101…
…00010011010000111110100
311001210211211022111010010210
413003103122202122013310
513031110300031030400
6145543154404545420
76350432144154336
oct703233242320764
9131724738433123
1031013330330100
119977752501288
12358a7116b2270
13143c710366881
147930a5d89456
1538badb992950
hex1c34da89a1f4

31013330330100 has 72 divisors (see below), whose sum is σ = 89732462879808. Its totient is φ = 8270169766400.

The previous prime is 31013330330009. The next prime is 31013330330159. The reversal of 31013330330100 is 103303331013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87928297 + ... + 88280303.

It is an arithmetic number, because the mean of its divisors is an integer number (1246284206664).

Almost surely, 231013330330100 is an apocalyptic number.

31013330330100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31013330330100 is an abundant number, since it is smaller than the sum of its proper divisors (58719132549708).

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

31013330330100 is a wasteful number, since it uses less digits than its factorization.

31013330330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645705 (or 645698 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 31013330330100 its reverse (103303331013), we get a palindrome (31116633661113).

The spelling of 31013330330100 in words is "thirty-one trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 293681 352007 587362 704014 881043 1056021 1174724 1408028 1468405 1760035 1762086 2112042 2936810 3520070 3524172 4224084 4405215 5280105 5873620 7040140 7342025 8800175 8810430 10560210 14684050 17600350 17620860 21120420 22026075 26400525 29368100 35200700 44052150 52801050 88104300 105602100 103377767767 206755535534 310133303301 413511071068 516888838835 620266606602 1033777677670 1240533213204 1550666516505 2067555355340 2584444194175 3101333033010 5168888388350 6202666066020 7753332582525 10337776776700 15506665165050 31013330330100