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1131223167072 = 25348319926423
BaseRepresentation
bin10000011101100010001…
…001111011000001100000
311000010212212221222220000
4100131202021323001200
5122013221112321242
62223402102220000
7144504523161105
oct20354211730140
94003785858800
101131223167072
113a6826a945a9
121632a4424600
138289b6b666b
143ca74152aac
151e65bb8ea4c
hex1076227b060

1131223167072 has 240 divisors, whose sum is σ = 3384026553600. Its totient is φ = 370645279488.

The previous prime is 1131223167013. The next prime is 1131223167083. The reversal of 1131223167072 is 2707613221311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42798853 + ... + 42825275.

It is an arithmetic number, because the mean of its divisors is an integer number (14100110640).

Almost surely, 21131223167072 is an apocalyptic number.

1131223167072 is a gapful number since it is divisible by the number (12) 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 1131223167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692013276800).

1131223167072 is an abundant number, since it is smaller than the sum of its proper divisors (2252803386528).

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

1131223167072 is a wasteful number, since it uses less digits than its factorization.

1131223167072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727 (or 26710 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 1131223167072 its reverse (2707613221311), we get a palindrome (3838836388383).

The spelling of 1131223167072 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred sixty-seven thousand, seventy-two".