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1131000200 = 235211677673
BaseRepresentation
bin100001101101001…
…1011000110001000
32220211011202121022
41003122123012020
54304014001300
6304121132012
740012225451
oct10332330610
92824152538
101131000200
11530469210
1227692a008
13150415cb5
14aa2cc128
156945b285
hex4369b188

1131000200 has 96 divisors (see below), whose sum is σ = 2911822560. Its totient is φ = 405081600.

The previous prime is 1131000193. The next prime is 1131000209. The reversal of 1131000200 is 20001311.

It is a super-2 number, since 2×11310002002 = 2558322904800080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1131000209) by changing a digit.

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, 143564 + ... + 151236.

It is an arithmetic number, because the mean of its divisors is an integer number (30331485).

Almost surely, 21131000200 is an apocalyptic number.

1131000200 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 1131000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455911280).

1131000200 is an abundant number, since it is smaller than the sum of its proper divisors (1780822360).

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

1131000200 is a wasteful number, since it uses less digits than its factorization.

1131000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1131000200 is about 33630.3464151055. The cubic root of 1131000200 is about 1041.8876589970.

Adding to 1131000200 its reverse (20001311), we get a palindrome (1151001511).

The spelling of 1131000200 in words is "one billion, one hundred thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 670 737 1100 1340 1474 1675 2200 2680 2948 3350 3685 5896 6700 7370 7673 13400 14740 15346 18425 29480 30692 36850 38365 61384 73700 76730 84403 147400 153460 168806 191825 306920 337612 383650 422015 514091 675224 767300 844030 1028182 1534600 1688060 2056364 2110075 2570455 3376120 4112728 4220150 5140910 5655001 8440300 10281820 11310002 12852275 16880600 20563640 22620004 25704550 28275005 45240008 51409100 56550010 102818200 113100020 141375025 226200040 282750050 565500100 1131000200