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1122010330320 = 24335111923108061
BaseRepresentation
bin10000010100111101000…
…001101111010011010000
310222021002211101101202000
4100110331001233103100
5121340334121032240
62215235555154000
7144030314306535
oct20247501572320
93867084341660
101122010330320
113a2929642a30
12161552ba5900
1381a60b06279
143c43c776d8c
151e2bce70430
hex1053d06f4d0

1122010330320 has 640 divisors, whose sum is σ = 4630932172800. Its totient is φ = 246480537600.

The previous prime is 1122010330319. The next prime is 1122010330327. The reversal of 1122010330320 is 230330102211.

1122010330320 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 10 + 330 + 320 = 666.

It is a super-2 number, since 2×11220103303202 (a number of 25 digits) contains 22 as substring.

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 = 1122010330293 and 1122010330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122010330327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10329090 + ... + 10437150.

It is an arithmetic number, because the mean of its divisors is an integer number (7235831520).

Almost surely, 21122010330320 is an apocalyptic number.

1122010330320 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 1122010330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315466086400).

1122010330320 is an abundant number, since it is smaller than the sum of its proper divisors (3508921842480).

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

1122010330320 is a wasteful number, since it uses less digits than its factorization.

1122010330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108136 (or 108124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1122010330320 its reverse (230330102211), we get a palindrome (1352340432531).

The spelling of 1122010330320 in words is "one trillion, one hundred twenty-two billion, ten million, three hundred thirty thousand, three hundred twenty".