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211131303330300 = 223523855011825601
BaseRepresentation
bin110000000000010111010110…
…010101100000000111111100
31000200112221210112200000120020
4300000113112111200013330
5210133133402123032200
62025012214243052140
762320506342426243
oct6000272625400774
91020487715600506
10211131303330300
1161300312603771
121b81a7b2371050
1390a679a5ba502
143a1cb497b195a
151962022c08ea0
hexc005d65601fc

211131303330300 has 72 divisors (see below), whose sum is σ = 610875156873072. Its totient is φ = 56301504000000.

The previous prime is 211131303330289. The next prime is 211131303330323. The reversal of 211131303330300 is 3033303131112.

It is a super-2 number, since 2×2111313033303002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114737500 + ... + 116563100.

Almost surely, 2211131303330300 is an apocalyptic number.

211131303330300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131303330300 is an abundant number, since it is smaller than the sum of its proper divisors (399743853542772).

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

211131303330300 is a wasteful number, since it uses less digits than its factorization.

211131303330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211119 (or 2211112 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 211131303330300 its reverse (3033303131112), we get a palindrome (214164606461412).

The spelling of 211131303330300 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 385501 771002 1156503 1542004 1825601 1927505 2313006 3651202 3855010 4626012 5476803 5782515 7302404 7710020 9128005 9637525 10953606 11565030 18256010 19275050 21907212 23130060 27384015 28912575 36512020 38550100 45640025 54768030 57825150 91280050 109536060 115650300 136920075 182560100 273840150 547680300 703771011101 1407542022202 2111313033303 2815084044404 3518855055505 4222626066606 7037710111010 8445252133212 10556565166515 14075420222020 17594275277525 21113130333030 35188550555050 42226260666060 52782825832575 70377101110100 105565651665150 211131303330300