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201131313030 = 23451021243203
BaseRepresentation
bin1011101101010001011…
…1000100011110000110
3201020011012001100020000
42323110113010132012
511243404104004110
6232222022022130
720350135644504
oct2732427043606
9636135040200
10201131313030
117833242344a
1232b92577946
1315c7481467b
149a40451674
1553729431c0
hex2ed45c4786

201131313030 has 80 divisors (see below), whose sum is σ = 541351674864. Its totient is φ = 53582264640.

The previous prime is 201131313017. The next prime is 201131313043. The reversal of 201131313030 is 30313131102.

It is a happy number.

201131313030 is a `hidden beast` number, since 201 + 131 + 31 + 303 + 0 = 666.

201131313030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201131313017) and next prime (201131313043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201131312994 and 201131313012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 705409 + ... + 948611.

Almost surely, 2201131313030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201131313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270675837432).

201131313030 is an abundant number, since it is smaller than the sum of its proper divisors (340220361834).

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

201131313030 is a wasteful number, since it uses less digits than its factorization.

201131313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244243 (or 244234 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201131313030 its reverse (30313131102), we get a palindrome (231444444132).

The spelling of 201131313030 in words is "two hundred one billion, one hundred thirty-one million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1021 2042 3063 5105 6126 9189 10210 15315 18378 27567 30630 45945 55134 82701 91890 137835 165402 243203 275670 413505 486406 729609 827010 1216015 1459218 2188827 2432030 3648045 4377654 6566481 7296090 10944135 13132962 19699443 21888270 32832405 39398886 65664810 98497215 196994430 248310263 496620526 744930789 1241551315 1489861578 2234792367 2483102630 3724653945 4469584734 6704377101 7449307890 11173961835 13408754202 20113131303 22347923670 33521885505 40226262606 67043771010 100565656515 201131313030