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1131010200 = 2332523120269
BaseRepresentation
bin100001101101001…
…1101100010011000
32220211012021022200
41003122131202120
54304014311300
6304121250200
740012266555
oct10332354230
92824167280
101131010200
11530475781
12276933960
1315041a708
14aa2d1a2c
156945e200
hex4369d898

1131010200 has 144 divisors (see below), whose sum is σ = 3921028800. Its totient is φ = 291859200.

The previous prime is 1131010189. The next prime is 1131010201. The reversal of 1131010200 is 20101311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131010201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45666 + ... + 65934.

Almost surely, 21131010200 is an apocalyptic number.

1131010200 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 1131010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960514400).

1131010200 is an abundant number, since it is smaller than the sum of its proper divisors (2790018600).

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

1131010200 is a wasteful number, since it uses less digits than its factorization.

1131010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20322 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131010200 is about 33630.4950900221. The cubic root of 1131010200 is about 1041.8907296849.

Adding to 1131010200 its reverse (20101311), we get a palindrome (1151111511).

The spelling of 1131010200 in words is "one billion, one hundred thirty-one million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 20269 27900 40538 55800 60807 81076 101345 121614 162152 182421 202690 243228 304035 364842 405380 486456 506725 608070 628339 729684 810760 912105 1013450 1216140 1256678 1459368 1520175 1824210 1885017 2026900 2432280 2513356 3040350 3141695 3648420 3770034 4053800 4560525 5026712 5655051 6080700 6283390 7296840 7540068 9121050 9425085 11310102 12161400 12566780 15080136 15708475 18242100 18850170 22620204 25133560 28275255 31416950 36484200 37700340 45240408 47125425 56550510 62833900 75400680 94250850 113101020 125667800 141376275 188501700 226202040 282752550 377003400 565505100 1131010200