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1131303100020 = 2235377316741801
BaseRepresentation
bin10000011101100110111…
…010110101111001110100
311000011002110101000021120
4100131212322311321310
5122013402043200040
62223414035343540
7144506513454552
oct20354672657164
94004073330246
101131303100020
113a686811a395
12163307151bb0
13828b2122372
143ca809dcbd2
151e663bcd7d0
hex10766eb5e74

1131303100020 has 192 divisors, whose sum is σ = 3317652850176. Its totient is φ = 287765913600.

The previous prime is 1131303100001. The next prime is 1131303100027. The reversal of 1131303100020 is 200013031311.

It is a super-2 number, since 2×11313031000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131303100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27043120 + ... + 27084920.

It is an arithmetic number, because the mean of its divisors is an integer number (17279441928).

Almost surely, 21131303100020 is an apocalyptic number.

1131303100020 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 1131303100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658826425088).

1131303100020 is an abundant number, since it is smaller than the sum of its proper divisors (2186349750156).

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

1131303100020 is a wasteful number, since it uses less digits than its factorization.

1131303100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42090 (or 42088 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1131303100020 its reverse (200013031311), we get a palindrome (1331316131331).

The spelling of 1131303100020 in words is "one trillion, one hundred thirty-one billion, three hundred three million, one hundred thousand, twenty".