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1131012120 = 233572238363
BaseRepresentation
bin100001101101001…
…1110000000011000
32220211012100221210
41003122132000120
54304014341440
6304121303120
740012305300
oct10332360030
92824170853
101131012120
11530477167
12276934aa0
1315041b554
14aa2d2600
156945ea80
hex4369e018

1131012120 has 192 divisors, whose sum is σ = 4119102720. Its totient is φ = 247247616.

The previous prime is 1131012067. The next prime is 1131012137. The reversal of 1131012120 is 212101311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131012096 and 1131012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131059 + ... + 139421.

It is an arithmetic number, because the mean of its divisors is an integer number (21453660).

Almost surely, 21131012120 is an apocalyptic number.

1131012120 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 1131012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059551360).

1131012120 is an abundant number, since it is smaller than the sum of its proper divisors (2988090600).

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

1131012120 is a wasteful number, since it uses less digits than its factorization.

1131012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131012120 is about 33630.5236355309. The cubic root of 1131012120 is about 1041.8913192549.

Adding to 1131012120 its reverse (212101311), we get a palindrome (1343113431).

The spelling of 1131012120 in words is "one billion, one hundred thirty-one million, twelve thousand, one hundred twenty".