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212001221304 = 233219431359563
BaseRepresentation
bin1100010101110001000…
…0011110101010111000
3202021012201200220011100
43011130100132222320
511433134303040204
6241220401531400
721213405435255
oct3053420365270
9667181626140
10212001221304
1181a00187414
1235106943b60
1316cb77c0862
14a391d3a42c
1557abd86a39
hex315c41eab8

212001221304 has 96 divisors (see below), whose sum is σ = 605793427200. Its totient is φ = 66792237120.

The previous prime is 212001221281. The next prime is 212001221351. The reversal of 212001221304 is 403122100212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409827 + ... + 769389.

It is an arithmetic number, because the mean of its divisors is an integer number (6310348200).

Almost surely, 2212001221304 is an apocalyptic number.

212001221304 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 212001221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302896713600).

212001221304 is an abundant number, since it is smaller than the sum of its proper divisors (393792205896).

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

212001221304 is a wasteful number, since it uses less digits than its factorization.

212001221304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360025 (or 360018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212001221304 its reverse (403122100212), we get a palindrome (615123321516).

The spelling of 212001221304 in words is "two hundred twelve billion, one million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 431 456 684 862 1293 1368 1724 2586 3448 3879 5172 7758 8189 10344 15516 16378 24567 31032 32756 49134 65512 73701 98268 147402 196536 294804 359563 589608 719126 1078689 1438252 2157378 2876504 3236067 4314756 6472134 6831697 8629512 12944268 13663394 20495091 25888536 27326788 40990182 54653576 61485273 81980364 122970546 154971653 163960728 245941092 309943306 464914959 491882184 619886612 929829918 1239773224 1394744877 1859659836 2789489754 2944461407 3719319672 5578979508 5888922814 8833384221 11157959016 11777845628 17666768442 23555691256 26500152663 35333536884 53000305326 70667073768 106000610652 212001221304