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212013043104 = 25319613189617
BaseRepresentation
bin1100010101110011110…
…1100100110110100000
3202021020112221111121210
43011130331210312200
511433200314334404
6241221503150120
721213611063202
oct3053475446640
9667215844553
10212013043104
1181a069212a5
123510a8a5340
1316cba09c6c5
14a393736772
1557ace1e689
hex315cf64da0

212013043104 has 96 divisors (see below), whose sum is σ = 586784278080. Its totient is φ = 66841915392.

The previous prime is 212013043097. The next prime is 212013043111. The reversal of 212013043104 is 401340310212.

212013043104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212013043097) and next prime (212013043111).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 1023304 + ... + 1212920.

It is an arithmetic number, because the mean of its divisors is an integer number (6112336230).

Almost surely, 2212013043104 is an apocalyptic number.

212013043104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293392139040).

212013043104 is an abundant number, since it is smaller than the sum of its proper divisors (374771234976).

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

212013043104 is a wasteful number, since it uses less digits than its factorization.

212013043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190262 (or 190254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212013043104 its reverse (401340310212), we get a palindrome (613353353316).

The spelling of 212013043104 in words is "two hundred twelve billion, thirteen million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 613 912 1226 1824 1839 2452 3678 4904 7356 9808 11647 14712 19616 23294 29424 34941 46588 58848 69882 93176 139764 186352 189617 279528 372704 379234 559056 568851 758468 1118112 1137702 1516936 2275404 3033872 3602723 4550808 6067744 7205446 9101616 10808169 14410892 18203232 21616338 28821784 43232676 57643568 86465352 115287136 116235221 172930704 232470442 345861408 348705663 464940884 697411326 929881768 1394822652 1859763536 2208469199 2789645304 3719527072 4416938398 5579290608 6625407597 8833876796 11158581216 13250815194 17667753592 26501630388 35335507184 53003260776 70671014368 106006521552 212013043104