Search a number
-
+
20201002200 = 23325229338303
BaseRepresentation
bin10010110100000100…
…101101010011011000
31221010211202020102200
4102310010231103120
5312332424032300
613140305330200
71313412454101
oct226404552330
957124666380
1020201002200
118626a36a45
123ab9336960
131b9c223152
14d98c893a8
157d3722200
hex4b412d4d8

20201002200 has 144 divisors (see below), whose sum is σ = 68075017920. Its totient is φ = 5368408320.

The previous prime is 20201002183. The next prime is 20201002247. The reversal of 20201002200 is 220010202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 508249 + ... + 546551.

It is an arithmetic number, because the mean of its divisors is an integer number (472743180).

Almost surely, 220201002200 is an apocalyptic number.

20201002200 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 20201002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037508960).

20201002200 is an abundant number, since it is smaller than the sum of its proper divisors (47874015720).

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

20201002200 is a wasteful number, since it uses less digits than its factorization.

20201002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38618 (or 38606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20201002200 its reverse (220010202), we get a palindrome (20421012402).

The spelling of 20201002200 in words is "twenty billion, two hundred one million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 293 300 360 450 586 600 879 900 1172 1465 1758 1800 2344 2637 2930 3516 4395 5274 5860 7032 7325 8790 10548 11720 13185 14650 17580 21096 21975 26370 29300 35160 38303 43950 52740 58600 65925 76606 87900 105480 114909 131850 153212 175800 191515 229818 263700 306424 344727 383030 459636 527400 574545 689454 766060 919272 957575 1149090 1378908 1532120 1723635 1915150 2298180 2757816 2872725 3447270 3830300 4596360 5745450 6894540 7660600 8618175 11222779 11490900 13789080 17236350 22445558 22981800 33668337 34472700 44891116 56113895 67336674 68945400 89782232 101005011 112227790 134673348 168341685 202010022 224455580 269346696 280569475 336683370 404020044 448911160 505025055 561138950 673366740 808040088 841708425 1010050110 1122277900 1346733480 1683416850 2020100220 2244555800 2525125275 3366833700 4040200440 5050250550 6733667400 10100501100 20201002200