Search a number
-
+
2102444300 = 2252116131333
BaseRepresentation
bin111110101010000…
…1100000100001100
312102112010020101102
41331110030010030
513301211204200
6544342402232
7103046324135
oct17524140414
95375106342
102102444300
11989858580
124a8130378
132767655a8
1415d324c8c
15c489b6d5
hex7d50c10c

2102444300 has 72 divisors (see below), whose sum is σ = 5058811632. Its totient is φ = 751968000.

The previous prime is 2102444299. The next prime is 2102444317. The reversal of 2102444300 is 34442012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51434 + ... + 82766.

Almost surely, 22102444300 is an apocalyptic number.

2102444300 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 2102444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529405816).

2102444300 is an abundant number, since it is smaller than the sum of its proper divisors (2956367332).

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

2102444300 is a wasteful number, since it uses less digits than its factorization.

2102444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2102444300 is about 45852.4186930199. The cubic root of 2102444300 is about 1281.0758167337.

Adding to 2102444300 its reverse (34442012), we get a palindrome (2136886312).

The spelling of 2102444300 in words is "two billion, one hundred two million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 31333 33550 62666 67100 125332 156665 313330 344663 626660 689326 783325 1378652 1566650 1723315 1911313 3133300 3446630 3822626 6893260 7645252 8616575 9556565 17233150 19113130 21024443 34466300 38226260 42048886 47782825 84097772 95565650 105122215 191131300 210244430 420488860 525611075 1051222150 2102444300