Search a number
-
+
13222310001120 = 253251137172113109
BaseRepresentation
bin1100000001101000111100…
…0101110011100111100000
31201211001002111222200211200
43000122033011303213200
53213113242330013440
644042124555241200
72533165111416423
oct300321705634740
951731074880750
1013222310001120
114238606321a50
1215966a4a49200
1374bb2111958c
14339d6b1019ba
1517de21571c30
hexc068f1739e0

13222310001120 has 576 divisors, whose sum is σ = 50586639929280. Its totient is φ = 3116725862400.

The previous prime is 13222310001073. The next prime is 13222310001127. The reversal of 13222310001120 is 2110001322231.

13222310001120 is a `hidden beast` number, since 1 + 322 + 2 + 310 + 0 + 0 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13222310001093 and 13222310001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222310001127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1008637126 + ... + 1008650234.

It is an arithmetic number, because the mean of its divisors is an integer number (87824027655).

Almost surely, 213222310001120 is an apocalyptic number.

13222310001120 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 13222310001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293319964640).

13222310001120 is an abundant number, since it is smaller than the sum of its proper divisors (37364329928160).

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

13222310001120 is a wasteful number, since it uses less digits than its factorization.

13222310001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 14888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13222310001120 its reverse (2110001322231), we get a palindrome (15332311323351).

The spelling of 13222310001120 in words is "thirteen trillion, two hundred twenty-two billion, three hundred ten million, one thousand, one hundred twenty".