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213002010340 = 225717151592693
BaseRepresentation
bin1100011001011111101…
…0001011111011100100
3202100210110212020121221
43012113322023323210
511442212003312330
6241503552150124
721250250133460
oct3062772137344
9670713766557
10213002010340
1182374099a99
1235345b38344
1317116c45c12
14a448c114a0
155819b71b7a
hex3197e8bee4

213002010340 has 96 divisors (see below), whose sum is σ = 544861223424. Its totient is φ = 68278118400.

The previous prime is 213002010301. The next prime is 213002010427. The reversal of 213002010340 is 43010200312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63034 + ... + 655726.

It is an arithmetic number, because the mean of its divisors is an integer number (5675637744).

Almost surely, 2213002010340 is an apocalyptic number.

213002010340 is a gapful number since it is divisible by the number (20) 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 213002010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272430611712).

213002010340 is an abundant number, since it is smaller than the sum of its proper divisors (331859213084).

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

213002010340 is a wasteful number, since it uses less digits than its factorization.

213002010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592877 (or 592875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213002010340 its reverse (43010200312), we get a palindrome (256012210652).

The spelling of 213002010340 in words is "two hundred thirteen billion, two million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 151 170 238 302 340 476 595 604 755 1057 1190 1510 2114 2380 2567 3020 4228 5134 5285 10268 10570 12835 17969 21140 25670 35938 51340 71876 89845 179690 359380 592693 1185386 2370772 2963465 4148851 5926930 8297702 10075781 11853860 16595404 20151562 20744255 40303124 41488510 50378905 70530467 82977020 89496643 100757810 141060934 178993286 201515620 282121868 352652335 357986572 447483215 626476501 705304670 894966430 1252953002 1410609340 1521442931 1789932860 2505906004 3042885862 3132382505 6085771724 6264765010 7607214655 10650100517 12529530020 15214429310 21300201034 30428858620 42600402068 53250502585 106501005170 213002010340