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213003223212 = 223132578116551
BaseRepresentation
bin1100011001011111111…
…0110100000010101100
3202100210120010212101010
43012113332310002230
511442212311120322
6241504034145220
721250263344523
oct3062776640254
9670716125333
10213003223212
118237484826a
1235346422210
131711727bcb0
14a4490494ba
155819d1120c
hex3197fb40ac

213003223212 has 96 divisors (see below), whose sum is σ = 538066174464. Its totient is φ = 65193984000.

The previous prime is 213003223211. The next prime is 213003223219. The reversal of 213003223212 is 212322300312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213003223211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32511337 + ... + 32517887.

It is an arithmetic number, because the mean of its divisors is an integer number (5604855984).

Almost surely, 2213003223212 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 213003223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269033087232).

213003223212 is an abundant number, since it is smaller than the sum of its proper divisors (325062951252).

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

213003223212 is a wasteful number, since it uses less digits than its factorization.

213003223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213003223212 its reverse (212322300312), we get a palindrome (425325523524).

The spelling of 213003223212 in words is "two hundred thirteen billion, three million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 257 514 771 811 1028 1542 1622 2433 3084 3244 3341 4866 6551 6682 9732 10023 10543 13102 13364 19653 20046 21086 26204 31629 39306 40092 42172 63258 78612 85163 126516 170326 208427 255489 340652 416854 510978 625281 833708 1021956 1250562 1683607 2501124 2709551 3367214 5050821 5312861 5419102 6734428 8128653 10101642 10625722 10838204 15938583 16257306 20203284 21251444 21886891 31877166 32514612 43773782 63754332 65660673 69067193 87547564 131321346 138134386 207201579 262642692 276268772 414403158 828806316 1365405277 2730810554 4096215831 5461621108 8192431662 16384863324 17750268601 35500537202 53250805803 71001074404 106501611606 213003223212