Search a number
-
+
210211333020 = 2232513349125733
BaseRepresentation
bin1100001111000110010…
…0100110001110011100
3202002120222201011000200
43003301210212032130
511421003100124040
6240323022223500
721121142564133
oct3036144461634
9662528634020
10210211333020
11811718a98a7
12348a7424b90
1316a90a31170
14a26233691a
155704b79630
hex30f192639c

210211333020 has 144 divisors (see below), whose sum is σ = 686913750432. Its totient is φ = 51727495680.

The previous prime is 210211333001. The next prime is 210211333021. The reversal of 210211333020 is 20333112012.

210211333020 is a `hidden beast` number, since 210 + 21 + 133 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210211332984 and 210211333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210211333021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8156074 + ... + 8181806.

It is an arithmetic number, because the mean of its divisors is an integer number (4770234378).

Almost surely, 2210211333020 is an apocalyptic number.

210211333020 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 210211333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343456875216).

210211333020 is an abundant number, since it is smaller than the sum of its proper divisors (476702417412).

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

210211333020 is a wasteful number, since it uses less digits than its factorization.

210211333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29252 (or 29247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210211333020 its reverse (20333112012), we get a palindrome (230544445032).

The spelling of 210211333020 in words is "two hundred ten billion, two hundred eleven million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3491 6982 10473 13964 17455 20946 25733 31419 34910 41892 45383 51466 52365 62838 69820 77199 90766 102932 104730 125676 128665 136149 154398 157095 181532 209460 226915 231597 257330 272298 308796 314190 334529 385995 408447 453830 463194 514660 544596 628380 669058 680745 771990 816894 907660 926388 1003587 1157985 1338116 1361490 1543980 1633788 1672645 2007174 2042235 2315970 2722980 3010761 3345290 4014348 4084470 4631940 5017935 6021522 6690580 8168940 10035870 12043044 15053805 20071740 30107610 60215220 89833903 179667806 269501709 359335612 449169515 539003418 808505127 898339030 1078006836 1167840739 1347508545 1617010254 1796678060 2335681478 2695017090 3234020508 3503522217 4042525635 4671362956 5390034180 5839203695 7007044434 8085051270 10510566651 11678407390 14014088868 16170102540 17517611085 21021133302 23356814780 35035222170 42042266604 52552833255 70070444340 105105666510 210211333020