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212032111312 = 247171031108013
BaseRepresentation
bin1100010101111000011…
…0010100001011010000
3202021021212211021021201
43011132012110023100
511433220210030222
6241223424000544
721214232131510
oct3053606241320
9667255737251
10212032111312
1181a1666554a
1235115160154
1316cc1017978
14a39609b840
1557ae939427
hex315e1942d0

212032111312 has 80 divisors (see below), whose sum is σ = 497604079872. Its totient is φ = 85441812480.

The previous prime is 212032111289. The next prime is 212032111367. The reversal of 212032111312 is 213111230212.

It is a super-2 number, since 2×2120321113122 (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 212032111312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909018 + ... + 2017030.

Almost surely, 2212032111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212032111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248802039936).

212032111312 is an abundant number, since it is smaller than the sum of its proper divisors (285571968560).

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

212032111312 is a wasteful number, since it uses less digits than its factorization.

212032111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109076 (or 109070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212032111312 its reverse (213111230212), we get a palindrome (425143341524).

The spelling of 212032111312 in words is "two hundred twelve billion, thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1031 1904 2062 4124 7217 8248 14434 16496 17527 28868 35054 57736 70108 108013 115472 122689 140216 216026 245378 280432 432052 490756 756091 864104 981512 1512182 1728208 1836221 1963024 3024364 3672442 6048728 7344884 12097456 12853547 14689768 25707094 29379536 51414188 102828376 111361403 205656752 222722806 445445612 779529821 890891224 1559059642 1781782448 1893143851 3118119284 3786287702 6236238568 7572575404 12472477136 13252006957 15145150808 26504013914 30290301616 53008027828 106016055656 212032111312