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1131111420 = 2235195967251
BaseRepresentation
bin100001101101011…
…0110001111111100
32220211101102011120
41003122312033330
54304031031140
6304123350540
740013200635
oct10332661774
92824342146
101131111420
1153053482a
12276982450
131504547ca
14aa31a88c
156947e1d0
hex436b63fc

1131111420 has 192 divisors, whose sum is σ = 3454617600. Its totient is φ = 275616000.

The previous prime is 1131111419. The next prime is 1131111461. The reversal of 1131111420 is 241111311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1131111420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4506295 + ... + 4506545.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 21131111420 is an apocalyptic number.

1131111420 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 1131111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1131111420 is an abundant number, since it is smaller than the sum of its proper divisors (2323506180).

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

1131111420 is a wasteful number, since it uses less digits than its factorization.

1131111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1131111420 is about 33631.9999405328. Note that the first 4 decimals coincide. The cubic root of 1131111420 is about 1041.9218101691.

Adding to 1131111420 its reverse (241111311), we get a palindrome (1372222731).

The spelling of 1131111420 in words is "one billion, one hundred thirty-one million, one hundred eleven thousand, four hundred twenty".