Search a number
-
+
131222203211320 = 2351313115118676833
BaseRepresentation
bin11101110101100010001100…
…110011110001111000111000
3122012121201102221222101202021
4131311202030303301320320
5114144421033010230240
61143030351542244224
736432330344454154
oct3565421463617070
9565551387871667
10131222203211320
11388a2029836641
12128738aa426674
13582b27bb31a50
14245928d444064
1510285cd65354a
hex77588ccf1e38

131222203211320 has 256 divisors, whose sum is σ = 322730425543680. Its totient is φ = 47730428928000.

The previous prime is 131222203211317. The next prime is 131222203211339. The reversal of 131222203211320 is 23112302222131.

It is a super-2 number, since 2×1312222032113202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19204182624 + ... + 19204189456.

It is an arithmetic number, because the mean of its divisors is an integer number (1260665724780).

Almost surely, 2131222203211320 is an apocalyptic number.

131222203211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222203211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161365212771840).

131222203211320 is an abundant number, since it is smaller than the sum of its proper divisors (191508222332360).

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

131222203211320 is a wasteful number, since it uses less digits than its factorization.

131222203211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131222203211320 its reverse (23112302222131), we get a palindrome (154334505433451).

The spelling of 131222203211320 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, two hundred three million, two hundred eleven thousand, three hundred twenty".