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1131022320 = 243535913127
BaseRepresentation
bin100001101101010…
…0000011111110000
32220211012212221120
41003122200133300
54304020203240
6304121422240
740012350111
oct10332403760
92824185846
101131022320
1153048389a
1227693a980
1315042309c
14aa2d6208
1569462ad0
hex436a07f0

1131022320 has 80 divisors (see below), whose sum is σ = 3516203520. Its totient is φ = 300742912.

The previous prime is 1131022307. The next prime is 1131022331. The reversal of 1131022320 is 232201311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11310223202 = 2558422976676364800, which contains 22 as substring.

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 1131022320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79597 + ... + 92723.

It is an arithmetic number, because the mean of its divisors is an integer number (43952544).

Almost surely, 21131022320 is an apocalyptic number.

1131022320 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 1131022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758101760).

1131022320 is an abundant number, since it is smaller than the sum of its proper divisors (2385181200).

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

1131022320 is a wasteful number, since it uses less digits than its factorization.

1131022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1131022320 is about 33630.6752831399. The cubic root of 1131022320 is about 1041.8944513344.

Adding to 1131022320 its reverse (232201311), we get a palindrome (1363223631).

The spelling of 1131022320 in words is "one billion, one hundred thirty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359 718 1077 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 10770 13127 14360 17232 21540 26254 28720 39381 43080 52508 65635 78762 86160 105016 131270 157524 196905 210032 262540 315048 393810 525080 630096 787620 1050160 1575240 3150480 4712593 9425186 14137779 18850372 23562965 28275558 37700744 47125930 56551116 70688895 75401488 94251860 113102232 141377790 188503720 226204464 282755580 377007440 565511160 1131022320