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213121230020340 = 2235127111772502341
BaseRepresentation
bin110000011101010100100111…
…001101011001111011110100
31000221121012010221210201001020
4300131110213031121323310
5210413234234341122330
62033134312542101140
762614333520261565
oct6035244715317364
91027535127721036
10213121230020340
11619a822a3186a4
121baa03a487a7b0
1391bc326c07135
143a8b1a049816c
151998b8b697210
hexc1d527359ef4

213121230020340 has 96 divisors (see below), whose sum is σ = 601492230549504. Its totient is φ = 56379762109440.

The previous prime is 213121230020329. The next prime is 213121230020381. The reversal of 213121230020340 is 43020032121312.

It is a self number, because there is not a number n which added to its sum of digits gives 213121230020340.

It is a congruent 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, 83917570 + ... + 86419910.

It is an arithmetic number, because the mean of its divisors is an integer number (6265544068224).

Almost surely, 2213121230020340 is an apocalyptic number.

213121230020340 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 213121230020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300746115274752).

213121230020340 is an abundant number, since it is smaller than the sum of its proper divisors (388371000529164).

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

213121230020340 is a wasteful number, since it uses less digits than its factorization.

213121230020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513657 (or 2513655 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213121230020340 its reverse (43020032121312), we get a palindrome (256141262141652).

The spelling of 213121230020340 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirty million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 11177 22354 33531 44708 55885 67062 111770 134124 167655 223540 335310 670620 1419479 2502341 2838958 4258437 5004682 5677916 7097395 7507023 8516874 10009364 12511705 14194790 15014046 17033748 21292185 25023410 28389580 30028092 37535115 42584370 50046820 75070230 85168740 150140460 317797307 635594614 953391921 1271189228 1588986535 1906783842 3177973070 3813567684 4766959605 6355946140 9533919210 19067838420 27968665357 55937330714 83905996071 111874661428 139843326785 167811992142 279686653570 335623984284 419529980355 559373307140 839059960710 1678119921420 3552020500339 7104041000678 10656061501017 14208082001356 17760102501695 21312123002034 35520205003390 42624246004068 53280307505085 71040410006780 106560615010170 213121230020340