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212023020001 = 131743211310559
BaseRepresentation
bin1100010101110110001…
…1101000100111100001
3202021021020201101100111
43011131203220213201
511433210343120001
6241222501051321
721214061635312
oct3053543504741
9667236641314
10212023020001
1181a11516071
12351120b6b41
1316cbc1838b0
14a394bb2609
1557adc40851
hex315d8e89e1

212023020001 has 32 divisors (see below), whose sum is σ = 247526737920. Its totient is φ = 179815071744.

The previous prime is 212023019983. The next prime is 212023020017. The reversal of 212023020001 is 100020320212.

212023020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212023020001 - 25 = 212023019969 is a prime.

It is a super-2 number, since 2×2120230200012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212023090001) 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, 20074560 + ... + 20085118.

It is an arithmetic number, because the mean of its divisors is an integer number (7735210560).

Almost surely, 2212023020001 is an apocalyptic number.

It is an amenable number.

212023020001 is a deficient number, since it is larger than the sum of its proper divisors (35503717919).

212023020001 is a wasteful number, since it uses less digits than its factorization.

212023020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12745.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212023020001 its reverse (100020320212), we get a palindrome (312043340213).

The spelling of 212023020001 in words is "two hundred twelve billion, twenty-three million, twenty thousand, one".

Divisors: 1 13 17 43 221 559 731 2113 9503 10559 27469 35921 90859 137267 179503 454037 466973 1181167 1544603 2333539 5902481 7718629 20079839 22311167 100342177 290045171 379289839 959380181 4930767907 12471942353 16309463077 212023020001