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31232213000 = 2353171837189
BaseRepresentation
bin11101000101100101…
…011100000000001000
32222121121220210211122
4131011211130000020
51002430421304000
622203050414412
72153651300402
oct350545340010
988547823748
1031232213000
111227785198a
126077731408
132c39757911
141723d61b72
15c2bdc9085
hex74595c008

31232213000 has 64 divisors (see below), whose sum is σ = 77382442800. Its totient is φ = 11758003200.

The previous prime is 31232212993. The next prime is 31232213021. The reversal of 31232213000 is 31223213.

It can be written as a sum of positive squares in 8 ways, for example, as 1400705476 + 29831507524 = 37426^2 + 172718^2 .

It is a super-2 number, since 2×312322130002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 31232213000.

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 15 ways as a sum of consecutive naturals, for example, 901595 + ... + 935594.

Almost surely, 231232213000 is an apocalyptic number.

It is an amenable number.

31232213000 is an abundant number, since it is smaller than the sum of its proper divisors (46150229800).

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

31232213000 is a wasteful number, since it uses less digits than its factorization.

31232213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837227 (or 1837213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31232213000 its reverse (31223213), we get a palindrome (31263436213).

The spelling of 31232213000 in words is "thirty-one billion, two hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 1837189 3674378 7348756 9185945 14697512 18371890 31232213 36743780 45929725 62464426 73487560 91859450 124928852 156161065 183718900 229648625 249857704 312322130 367437800 459297250 624644260 780805325 918594500 1249288520 1561610650 1837189000 3123221300 3904026625 6246442600 7808053250 15616106500 31232213000