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1131201300 = 223523799949
BaseRepresentation
bin100001101101100…
…1100001100010100
32220211112222110110
41003123030030110
54304041420200
6304125323020
740014023655
oct10333141424
92824488413
101131201300
11530596309
12276a06470
131504866a8
14aa34152c
156949ab50
hex436cc314

1131201300 has 72 divisors (see below), whose sum is σ = 3281908000. Its totient is φ = 300827520.

The previous prime is 1131201299. The next prime is 1131201329. The reversal of 1131201300 is 31021311.

It is a super-2 number, since 2×11312013002 = 2559232762243380000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108726 + ... + 118674.

Almost surely, 21131201300 is an apocalyptic number.

1131201300 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 1131201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640954000).

1131201300 is an abundant number, since it is smaller than the sum of its proper divisors (2150706700).

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

1131201300 is a wasteful number, since it uses less digits than its factorization.

1131201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131201300 is about 33633.3361413940. The cubic root of 1131201300 is about 1041.9494070531.

Adding to 1131201300 its reverse (31021311), we get a palindrome (1162222611).

The spelling of 1131201300 in words is "one billion, one hundred thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 379 758 1137 1516 1895 2274 3790 4548 5685 7580 9475 9949 11370 18950 19898 22740 28425 29847 37900 39796 49745 56850 59694 99490 113700 119388 149235 198980 248725 298470 497450 596940 746175 994900 1492350 2984700 3770671 7541342 11312013 15082684 18853355 22624026 37706710 45248052 56560065 75413420 94266775 113120130 188533550 226240260 282800325 377067100 565600650 1131201300