Search a number
-
+
212115511212 = 223111867986029
BaseRepresentation
bin1100010110001100010…
…0011101011110101100
3202021111200202102102220
43011203010131132230
511433403032324322
6241240003315340
721216264045063
oct3054304353654
9667450672386
10212115511212
1181a59749090
123513907bb50
1317005398717
14a3a31ab1da
1557b6e1055c
hex316311d7ac

212115511212 has 48 divisors (see below), whose sum is σ = 539965574400. Its totient is φ = 64273239360.

The previous prime is 212115511193. The next prime is 212115511219.

212115511212 is nontrivially palindromic in base 10.

212115511212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212115511219) 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 15 ways as a sum of consecutive naturals, for example, 2422614 + ... + 2508642.

It is an arithmetic number, because the mean of its divisors is an integer number (11249282800).

Almost surely, 2212115511212 is an apocalyptic number.

212115511212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212115511212 is an abundant number, since it is smaller than the sum of its proper divisors (327850063188).

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

212115511212 is a wasteful number, since it uses less digits than its factorization.

212115511212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104726 (or 104724 counting only the distinct ones).

The product of its digits is 400, while the sum is 24.

It can be divided in two parts, 212115 and 511212, that added together give a palindrome (723327).

The spelling of 212115511212 in words is "two hundred twelve billion, one hundred fifteen million, five hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 18679 37358 56037 74716 86029 112074 172058 205469 224148 258087 344116 410938 516174 616407 821876 946319 1032348 1232814 1892638 2465628 2838957 3785276 5677914 11355828 1606935691 3213871382 4820807073 6427742764 9641614146 17676292601 19283228292 35352585202 53028877803 70705170404 106057755606 212115511212