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212442320024 = 231161389101737
BaseRepresentation
bin1100010111011010001…
…1001000110010011000
3202022100110201000211222
43011312203020302120
511440040213220044
6241332240111212
721230342632334
oct3056643106230
9668313630758
10212442320024
1182107173410
123520a605508
1317057cc1b0c
14a3d475c7c4
1557d59678ee
hex31768c8c98

212442320024 has 64 divisors (see below), whose sum is σ = 442804471200. Its totient is φ = 94736563200.

The previous prime is 212442320023. The next prime is 212442320059. The reversal of 212442320024 is 420023244212.

It is a junction number, because it is equal to n+sod(n) for n = 212442319975 and 212442320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037284 + ... + 2139020.

Almost surely, 2212442320024 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 212442320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221402235600).

212442320024 is an abundant number, since it is smaller than the sum of its proper divisors (230362151176).

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

212442320024 is a wasteful number, since it uses less digits than its factorization.

212442320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102204 (or 102200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 212442320024 its reverse (420023244212), we get a palindrome (632465564236).

The spelling of 212442320024 in words is "two hundred twelve billion, four hundred forty-two million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 389 488 671 778 1342 1556 2684 3112 4279 5368 8558 17116 23729 34232 47458 94916 101737 189832 203474 261019 406948 522038 813896 1044076 1119107 2088152 2238214 4476428 6205957 8952856 12411914 24823828 39575693 49647656 68265527 79151386 136531054 158302772 273062108 316605544 435332623 546124216 870665246 1741330492 2414117273 3482660984 4828234546 9656469092 19312938184 26555290003 53110580006 106221160012 212442320024