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212441034102 = 231119217977747
BaseRepresentation
bin1100010111011001111…
…0001110110101110110
3202022100101021200220020
43011312132032311312
511440034401042402
6241332152350010
721230325665313
oct3056636166566
9668311250806
10212441034102
1182106475270
123520a0a5306
131705796170b
14a3d4505d0a
1557d57b18bc
hex317678ed76

212441034102 has 64 divisors (see below), whose sum is σ = 488133043200. Its totient is φ = 60959083680.

The previous prime is 212441034097. The next prime is 212441034119. The reversal of 212441034102 is 201430144212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2693593 + ... + 2771339.

It is an arithmetic number, because the mean of its divisors is an integer number (7627078800).

Almost surely, 2212441034102 is an apocalyptic number.

212441034102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212441034102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244066521600).

212441034102 is an abundant number, since it is smaller than the sum of its proper divisors (275692009098).

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

212441034102 is a wasteful number, since it uses less digits than its factorization.

212441034102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79961.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212441034102 its reverse (201430144212), we get a palindrome (413871178314).

It can be divided in two parts, 2124410 and 34102, that added together give a palindrome (2158512).

The spelling of 212441034102 in words is "two hundred twelve billion, four hundred forty-one million, thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2179 4358 6537 13074 23969 41401 47938 71907 77747 82802 124203 143814 155494 233241 248406 455411 466482 855217 910822 1366233 1477193 1710434 2565651 2732466 2954386 4431579 5131302 8863158 16249123 32498246 48747369 97494738 169410713 338821426 508232139 1016464278 1863517843 3218803547 3727035686 5590553529 6437607094 9656410641 11181107058 19312821282 35406839017 70813678034 106220517051 212441034102