Search a number
-
+
21130333000 = 2353716931783
BaseRepresentation
bin10011101011011101…
…110100101101001000
32000112121110010121221
4103223131310231020
5321233331124000
613412424211424
71345425603250
oct235335645510
960477403557
1021130333000
118a63581a27
124118609b74
131cb991902a
14104647c960
1583a0e461a
hex4eb774b48

21130333000 has 128 divisors (see below), whose sum is σ = 56573637120. Its totient is φ = 7236345600.

The previous prime is 21130332989. The next prime is 21130333009. The reversal of 21130333000 is 33303112.

It is not an unprimeable number, because it can be changed into a prime (21130333009) 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 31 ways as a sum of consecutive naturals, for example, 11850109 + ... + 11851891.

It is an arithmetic number, because the mean of its divisors is an integer number (441981540).

Almost surely, 221130333000 is an apocalyptic number.

21130333000 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 21130333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28286818560).

21130333000 is an abundant number, since it is smaller than the sum of its proper divisors (35443304120).

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

21130333000 is a wasteful number, since it uses less digits than its factorization.

21130333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 21130333000 its reverse (33303112), we get a palindrome (21163636112).

The spelling of 21130333000 in words is "twenty-one billion, one hundred thirty million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1693 1750 1783 3386 3500 3566 6772 7000 7132 8465 8915 11851 12481 13544 14264 16930 17830 23702 24962 33860 35660 42325 44575 47404 49924 59255 62405 67720 71320 84650 89150 94808 99848 118510 124810 169300 178300 211625 222875 237020 249620 296275 312025 338600 356600 423250 445750 474040 499240 592550 624050 846500 891500 1185100 1248100 1481375 1560125 1693000 1783000 2370200 2496200 2962750 3018619 3120250 5925500 6037238 6240500 11851000 12074476 12481000 15093095 21130333 24148952 30186190 42260666 60372380 75465475 84521332 105651665 120744760 150930950 169042664 211303330 301861900 377327375 422606660 528258325 603723800 754654750 845213320 1056516650 1509309500 2113033300 2641291625 3018619000 4226066600 5282583250 10565166500 21130333000