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213201121014 = 232721123215249
BaseRepresentation
bin1100011010001111000…
…1101110111011110110
3202101022100112010010100
43012203301232323312
511443113441333024
6241535423534530
721255215425200
oct3064361567366
9671270463110
10213201121014
1182466524872
12353a075a446
131714927b49b
14a467441770
15582c3a27c9
hex31a3c6eef6

213201121014 has 72 divisors (see below), whose sum is σ = 537834843000. Its totient is φ = 60860080512.

The previous prime is 213201121013. The next prime is 213201121031. The reversal of 213201121014 is 410121102312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213201121013) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 882862 + ... + 1098110.

It is an arithmetic number, because the mean of its divisors is an integer number (7469928375).

Almost surely, 2213201121014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213201121014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268917421500).

213201121014 is an abundant number, since it is smaller than the sum of its proper divisors (324633721986).

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

213201121014 is a wasteful number, since it uses less digits than its factorization.

213201121014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216394 (or 216384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213201121014 its reverse (410121102312), we get a palindrome (623322223326).

The spelling of 213201121014 in words is "two hundred thirteen billion, two hundred one million, one hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1123 2246 3369 6738 7861 10107 15722 20214 23583 47166 55027 70749 110054 141498 165081 215249 330162 430498 495243 645747 990486 1291494 1506743 1937241 3013486 3874482 4520229 9040458 10547201 13560687 21094402 27121374 31641603 63283206 94924809 189849618 241724627 483449254 725173881 1450347762 1692072389 2175521643 3384144778 4351043286 5076217167 10152434334 11844506723 15228651501 23689013446 30457303002 35533520169 71067040338 106600560507 213201121014