Search a number
-
+
213515124020 = 225112276196907
BaseRepresentation
bin1100011011011001111…
…1100011110100110100
3202102010020101010021022
43012312133203310310
511444234332432040
6242030522040312
721266050415642
oct3066637436464
9672106333238
10213515124020
11826077a2990
1235469949098
131719933cb93
14a49701c192
155849c2a6b5
hex31b67e3d34

213515124020 has 96 divisors (see below), whose sum is σ = 492163499520. Its totient is φ = 77163776640.

The previous prime is 213515124001. The next prime is 213515124037. The reversal of 213515124020 is 20421515312.

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, 30909407 + ... + 30916313.

It is an arithmetic number, because the mean of its divisors is an integer number (5126703120).

Almost surely, 2213515124020 is an apocalyptic number.

213515124020 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 213515124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246081749760).

213515124020 is an abundant number, since it is smaller than the sum of its proper divisors (278648375500).

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

213515124020 is a wasteful number, since it uses less digits than its factorization.

213515124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 213515124020 its reverse (20421515312), we get a palindrome (233936639332).

The spelling of 213515124020 in words is "two hundred thirteen billion, five hundred fifteen million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 619 908 1135 1238 2270 2476 2497 3095 4540 4994 6190 6809 6907 9988 12380 12485 13618 13814 24970 27236 27628 34045 34535 49940 68090 69070 75977 136180 138140 140513 151954 281026 303908 379885 562052 702565 759770 1405130 1519540 1545643 1567889 2810260 3091286 3135778 4275433 6182572 6271556 7728215 7839445 8550866 15456430 15678890 17101732 17246779 21377165 30912860 31357780 34493558 42754330 47029763 68987116 85508660 86233895 94059526 172467790 188119052 235148815 344935580 470297630 940595260 970523291 1941046582 3882093164 4852616455 9705232910 10675756201 19410465820 21351512402 42703024804 53378781005 106757562010 213515124020