Search a number
-
+
10023221100 = 2235261836599
BaseRepresentation
bin10010101010110111…
…00011011101101100
3221212112110101111010
421111123203131230
5131011421033400
64334332225220
7503245654644
oct112533433554
927775411433
1010023221100
114283935402
121b3890b210
13c3975aa79
146b1289524
153d9e48450
hex2556e376c

10023221100 has 144 divisors (see below), whose sum is σ = 29835590400. Its totient is φ = 2596972800.

The previous prime is 10023221099. The next prime is 10023221101. The reversal of 10023221100 is 112232001.

It is an interprime number because it is at equal distance from previous prime (10023221099) and next prime (10023221101).

It is a super-2 number, since 2×100232211002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10023221101) 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 47 ways as a sum of consecutive naturals, for example, 1515601 + ... + 1522199.

It is an arithmetic number, because the mean of its divisors is an integer number (207191600).

Almost surely, 210023221100 is an apocalyptic number.

10023221100 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 10023221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917795200).

10023221100 is an abundant number, since it is smaller than the sum of its proper divisors (19812369300).

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

10023221100 is a wasteful number, since it uses less digits than its factorization.

10023221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10023221100 its reverse (112232001), we get a palindrome (10135453101).

The spelling of 10023221100 in words is "ten billion, twenty-three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 83 100 122 150 166 183 244 249 300 305 332 366 415 498 610 732 830 915 996 1220 1245 1525 1660 1830 2075 2490 3050 3660 4150 4575 4980 5063 6100 6225 6599 8300 9150 10126 12450 13198 15189 18300 19797 20252 24900 25315 26396 30378 32995 39594 50630 60756 65990 75945 79188 98985 101260 126575 131980 151890 164975 197970 253150 303780 329950 379725 395940 402539 494925 506300 547717 659900 759450 805078 989850 1095434 1207617 1518900 1610156 1643151 1979700 2012695 2190868 2415234 2738585 3286302 4025390 4830468 5477170 6038085 6572604 8050780 8215755 10063475 10954340 12076170 13692925 16431510 20126950 24152340 27385850 30190425 32863020 33410737 40253900 41078775 54771700 60380850 66821474 82157550 100232211 120761700 133642948 164315100 167053685 200464422 334107370 400928844 501161055 668214740 835268425 1002322110 1670536850 2004644220 2505805275 3341073700 5011610550 10023221100