Search a number
-
+
12311221313100 = 22352118734572371
BaseRepresentation
bin1011001100100110110111…
…1110010001111001001100
31121120221102011212220021110
42303021231332101321030
53103201340124004400
642103410314532020
72410312353353403
oct263115576217114
947527364786243
1012311221313100
113a17183529786
121469bb7137010
136b3c35253118
14307c1b16063a
1516539a7d7e50
hexb326df91e4c

12311221313100 has 72 divisors (see below), whose sum is σ = 35650476848448. Its totient is φ = 3280226465600.

The previous prime is 12311221313089. The next prime is 12311221313117. The reversal of 12311221313100 is 131312211321.

It is a super-2 number, since 2×123112213131002 (a number of 27 digits) contains 22 as substring.

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, 16930086 + ... + 17642285.

It is an arithmetic number, because the mean of its divisors is an integer number (495145511784).

Almost surely, 212311221313100 is an apocalyptic number.

12311221313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311221313100 is an abundant number, since it is smaller than the sum of its proper divisors (23339255535348).

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

12311221313100 is a wasteful number, since it uses less digits than its factorization.

12311221313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34573575 (or 34573568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12311221313100 its reverse (131312211321), we get a palindrome (12442533524421).

The spelling of 12311221313100 in words is "twelve trillion, three hundred eleven billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1187 2374 3561 4748 5935 7122 11870 14244 17805 23740 29675 35610 59350 71220 89025 118700 178050 356100 34572371 69144742 103717113 138289484 172861855 207434226 345723710 414868452 518585565 691447420 864309275 1037171130 1728618550 2074342260 2592927825 3457237100 5185855650 10371711300 41037404377 82074808754 123112213131 164149617508 205187021885 246224426262 410374043770 492448852524 615561065655 820748087540 1025935109425 1231122131310 2051870218850 2462244262620 3077805328275 4103740437700 6155610656550 12311221313100