Search a number
-
+
22031130100 = 2252735312119
BaseRepresentation
bin10100100001001010…
…000101110111110100
32002212101110100221111
4110201022011313310
5330104432130400
614042043324404
71406644342000
oct244112056764
962771410844
1022031130100
119385aa9141
12432a220704
132101431475
1410cdd65700
1588e22c3ba
hex521285df4

22031130100 has 144 divisors (see below), whose sum is σ = 56808864000. Its totient is φ = 7410399360.

The previous prime is 22031130091. The next prime is 22031130133. The reversal of 22031130100 is 103113022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811841 + ... + 1823959.

It is an arithmetic number, because the mean of its divisors is an integer number (394506000).

Almost surely, 222031130100 is an apocalyptic number.

22031130100 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 22031130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28404432000).

22031130100 is an abundant number, since it is smaller than the sum of its proper divisors (34777733900).

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

22031130100 is a wasteful number, since it uses less digits than its factorization.

22031130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 22031130100 its reverse (103113022), we get a palindrome (22134243122).

The spelling of 22031130100 in words is "twenty-two billion, thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 53 70 98 100 106 140 175 196 212 245 265 343 350 371 490 530 686 700 742 980 1060 1225 1325 1372 1484 1715 1855 2450 2597 2650 3430 3710 4900 5194 5300 6860 7420 8575 9275 10388 12119 12985 17150 18179 18550 24238 25970 34300 36358 37100 48476 51940 60595 64925 72716 84833 90895 121190 129850 169666 181790 242380 259700 302975 339332 363580 424165 454475 593831 605950 642307 848330 908950 1187662 1211900 1284614 1696660 1817900 2120825 2375324 2569228 2969155 3211535 4156817 4241650 4496149 5938310 6423070 8313634 8483300 8992298 11876620 12846140 14845775 16057675 16627268 17984596 20784085 22480745 29691550 31473043 32115350 41568170 44961490 59383100 62946086 64230700 83136340 89922980 103920425 112403725 125892172 157365215 207840850 220311301 224807450 314730430 415681700 440622602 449614900 629460860 786826075 881245204 1101556505 1573652150 2203113010 3147304300 4406226020 5507782525 11015565050 22031130100