Search a number
-
+
10020122200 = 23521112735863
BaseRepresentation
bin10010101010011111…
…01110111001011000
3221212022121221121001
421111033232321120
5131010122402300
64334141554344
7503210430154
oct112517567130
927768557531
1010020122200
114282109130
121b378759b4
13c38c143ba
146b0ac0064
153d9a3516a
hex2553eee58

10020122200 has 96 divisors (see below), whose sum is σ = 25615503360. Its totient is φ = 3614889600.

The previous prime is 10020122197. The next prime is 10020122209. The reversal of 10020122200 is 222102001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020122209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261469 + ... + 297331.

It is an arithmetic number, because the mean of its divisors is an integer number (266828160).

Almost surely, 210020122200 is an apocalyptic number.

10020122200 is a gapful number since it is divisible by the number (10) 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 10020122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807751680).

10020122200 is an abundant number, since it is smaller than the sum of its proper divisors (15595381160).

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

10020122200 is a wasteful number, since it uses less digits than its factorization.

10020122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36017 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020122200 its reverse (222102001), we get a palindrome (10242224201).

The spelling of 10020122200 in words is "ten billion, twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 127 200 220 254 275 440 508 550 635 1016 1100 1270 1397 2200 2540 2794 3175 5080 5588 6350 6985 11176 12700 13970 25400 27940 34925 35863 55880 69850 71726 139700 143452 179315 279400 286904 358630 394493 717260 788986 896575 1434520 1577972 1793150 1972465 3155944 3586300 3944930 4554601 7172600 7889860 9109202 9862325 15779720 18218404 19724650 22773005 36436808 39449300 45546010 50100611 78898600 91092020 100201222 113865025 182184040 200402444 227730050 250503055 400804888 455460100 501006110 910920200 1002012220 1252515275 2004024440 2505030550 5010061100 10020122200