Search a number
-
+
210021001100 = 225219211352313
BaseRepresentation
bin1100001110011000111…
…0100010011110001100
3202002002201120021201022
43003212032202132030
511420110334013400
6240252102533312
721113342024441
oct3034616423614
9662081507638
10210021001100
118108441a699
1234853737238
1316a60480621
14a244d4d9c8
1556e30ceb85
hex30e63a278c

210021001100 has 72 divisors (see below), whose sum is σ = 479968394640. Its totient is φ = 79547719680.

The previous prime is 210021001097. The next prime is 210021001121. The reversal of 210021001100 is 1100120012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3988544 + ... + 4040856.

Almost surely, 2210021001100 is an apocalyptic number.

210021001100 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 210021001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984197320).

210021001100 is an abundant number, since it is smaller than the sum of its proper divisors (269947393540).

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

210021001100 is a wasteful number, since it uses less digits than its factorization.

210021001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54459 (or 54452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210021001100 its reverse (1100120012), we get a palindrome (211121121112).

The spelling of 210021001100 in words is "two hundred ten billion, twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2113 4226 8452 10565 21130 40147 42260 52313 52825 80294 104626 105650 160588 200735 209252 211300 261565 401470 523130 802940 993947 1003675 1046260 1307825 1987894 2007350 2615650 3975788 4014700 4969735 5231300 9939470 19878940 24848675 49697350 99394700 110537369 221074738 442149476 552686845 1105373690 2100210011 2210747380 2763434225 4200420022 5526868450 8400840044 10501050055 11053736900 21002100110 42004200220 52505250275 105010500550 210021001100