Search a number
-
+
213003131202 = 232411415320393
BaseRepresentation
bin1100011001011111111…
…0011101100101000010
3202100210112222012011100
43012113332131211002
511442212300144302
6241504032155230
721250262512341
oct3062776354502
9670715865140
10213003131202
1182374795124
1235346398b16
1317117249154
14a449023b58
155819ce3d1c
hex3197f9d942

213003131202 has 48 divisors (see below), whose sum is σ = 472819635288. Its totient is φ = 69261020160.

The previous prime is 213003131191. The next prime is 213003131207. The reversal of 213003131202 is 202131300312.

213003131202 is a `hidden beast` number, since 21 + 300 + 31 + 312 + 0 + 2 = 666.

213003131202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121570071561 + 91433059641 = 348669^2 + 302379^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213003131207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10434718 + ... + 10455110.

Almost surely, 2213003131202 is an apocalyptic number.

213003131202 is an abundant number, since it is smaller than the sum of its proper divisors (259816504086).

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

213003131202 is a wasteful number, since it uses less digits than its factorization.

213003131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34595 (or 34592 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213003131202 its reverse (202131300312), we get a palindrome (415134431514).

The spelling of 213003131202 in words is "two hundred thirteen billion, three million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 14153 20393 28306 40786 42459 61179 84918 122358 127377 183537 254754 367074 580273 836113 1160546 1672226 1740819 2508339 3481638 5016678 5222457 7525017 10444914 15050034 288622129 577244258 865866387 1731732774 2597599161 5195198322 11833507289 23667014578 35500521867 71001043734 106501565601 213003131202