Search a number
-
+
213023430510 = 2351117283134177
BaseRepresentation
bin1100011001100100101…
…1111001011101101110
3202100211222011111120120
43012121023321131232
511442232444234020
6241510035225410
721250630166112
oct3063113713556
9670758144516
10213023430510
118238519a310
1235351148266
131711b505887
14a44b9c9742
15581b9a3740
hex31992f976e

213023430510 has 128 divisors (see below), whose sum is σ = 592633096704. Its totient is φ = 48432168960.

The previous prime is 213023430479. The next prime is 213023430517. The reversal of 213023430510 is 15034320312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023430517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1520542 + ... + 1654718.

It is an arithmetic number, because the mean of its divisors is an integer number (4629946068).

Almost surely, 2213023430510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213023430510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296316548352).

213023430510 is an abundant number, since it is smaller than the sum of its proper divisors (379609666194).

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

213023430510 is a wasteful number, since it uses less digits than its factorization.

213023430510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134498.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 213023430510 its reverse (15034320312), we get a palindrome (228057750822).

The spelling of 213023430510 in words is "two hundred thirteen billion, twenty-three million, four hundred thirty thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 283 330 374 510 561 566 849 935 1122 1415 1698 1870 2805 2830 3113 4245 4811 5610 6226 8490 9339 9622 14433 15565 18678 24055 28866 31130 46695 48110 52921 72165 93390 105842 134177 144330 158763 264605 268354 317526 402531 529210 670885 793815 805062 1341770 1475947 1587630 2012655 2281009 2951894 4025310 4427841 4562018 6843027 7379735 8855682 11405045 13686054 14759470 22139205 22810090 25091099 34215135 37972091 44278410 50182198 68430270 75273297 75944182 113916273 125455495 150546594 189860455 227832546 250910990 376366485 379720910 417693001 569581365 645525547 752732970 835386002 1139162730 1253079003 1291051094 1936576641 2088465005 2506158006 3227627735 3873153282 4176930010 6265395015 6455255470 7100781017 9682883205 12530790030 14201562034 19365766410 21302343051 35503905085 42604686102 71007810170 106511715255 213023430510