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212040211530 = 23574323481751
BaseRepresentation
bin1100010101111010010…
…1001101110001001010
3202021022110001210200210
43011132211031301022
511433224243232110
6241224313341550
721214361026350
oct3053645156112
9667273053623
10212040211530
1181a20198344
1235117a078b6
1316cc28c28b4
14a3971a97d0
1557b04d9520
hex315e94dc4a

212040211530 has 64 divisors (see below), whose sum is σ = 595121522688. Its totient is φ = 47339208000.

The previous prime is 212040211507. The next prime is 212040211531. The reversal of 212040211530 is 35112040212.

212040211530 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 2×2120402115302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212040211497 and 212040211506.

It is not an unprimeable number, because it can be changed into a prime (212040211531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11731846 + ... + 11749905.

It is an arithmetic number, because the mean of its divisors is an integer number (9298773792).

Almost surely, 2212040211530 is an apocalyptic number.

212040211530 is an abundant number, since it is smaller than the sum of its proper divisors (383081311158).

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

212040211530 is a wasteful number, since it uses less digits than its factorization.

212040211530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23481811.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 212040211530 its reverse (35112040212), we get a palindrome (247152251742).

The spelling of 212040211530 in words is "two hundred twelve billion, forty million, two hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 4515 9030 23481751 46963502 70445253 117408755 140890506 164372257 234817510 328744514 352226265 493116771 704452530 821861285 986233542 1009715293 1643722570 2019430586 2465583855 3029145879 4931167710 5048576465 6058291758 7068007051 10097152930 14136014102 15145729395 21204021153 30291458790 35340035255 42408042306 70680070510 106020105765 212040211530