Search a number
-
+
201312213020 = 225397174114563
BaseRepresentation
bin1011101101111100100…
…1001001100000011100
3201020121210110000100122
42323133021021200130
511244241411304040
6232252003214112
720354463401642
oct2733711114034
9636553400318
10201312213020
1178415550276
1233023077338
1315ca3142099
149a5a4a1192
1553837781b5
hex2edf24981c

201312213020 has 48 divisors (see below), whose sum is σ = 424093077408. Its totient is φ = 80270403840.

The previous prime is 201312212947. The next prime is 201312213041. The reversal of 201312213020 is 20312213102.

201312213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013122130202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201312213020.

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 15 ways as a sum of consecutive naturals, for example, 13816259 + ... + 13830821.

It is an arithmetic number, because the mean of its divisors is an integer number (8835272446).

Almost surely, 2201312213020 is an apocalyptic number.

201312213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312213020 is an abundant number, since it is smaller than the sum of its proper divisors (222780864388).

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

201312213020 is a wasteful number, since it uses less digits than its factorization.

201312213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16710 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 201312213020 its reverse (20312213102), we get a palindrome (221624426122).

The spelling of 201312213020 in words is "two hundred one billion, three hundred twelve million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1741 1985 3482 3970 6964 7940 8705 14563 17410 29126 34820 58252 72815 145630 291260 691177 1382354 2764708 3455885 5781511 6911770 11563022 13823540 23126044 25354183 28907555 50708366 57815110 101416732 115630220 126770915 253541830 507083660 10065610651 20131221302 40262442604 50328053255 100656106510 201312213020