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211131201300 = 22352703770671
BaseRepresentation
bin1100010010100001100…
…1100111011100010100
3202011222002121022002020
43010220121213130110
511424344041420200
6240554202213140
721153012412635
oct3045031473424
9664862538066
10211131201300
11815a4071518
1234b034b41b0
1316ba9493016
14a30c58588c
15575a7ccea0
hex3128667714

211131201300 has 36 divisors (see below), whose sum is σ = 610872943296. Its totient is φ = 56301653600.

The previous prime is 211131201257. The next prime is 211131201313. The reversal of 211131201300 is 3102131112.

It is a happy number.

It is a super-2 number, since 2×2111312013002 (a number of 23 digits) 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 211131201300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351885036 + ... + 351885635.

Almost surely, 2211131201300 is an apocalyptic number.

211131201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131201300 is an abundant number, since it is smaller than the sum of its proper divisors (399741741996).

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

211131201300 is a wasteful number, since it uses less digits than its factorization.

211131201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703770688 (or 703770681 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211131201300 its reverse (3102131112), we get a palindrome (214233332412).

The spelling of 211131201300 in words is "two hundred eleven 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 703770671 1407541342 2111312013 2815082684 3518853355 4222624026 7037706710 8445248052 10556560065 14075413420 17594266775 21113120130 35188533550 42226240260 52782800325 70377067100 105565600650 211131201300