Search a number
-
+
11001021000 = 2335310136307
BaseRepresentation
bin10100011111011011…
…00100001001001000
31001101200100202210020
422033231210021020
5140012230133000
65015342020440
7536421064344
oct121755441110
931350322706
1011001021000
1147358759a2
122170277720
1310641c42a8
14765098624
15445be1ba0
hex28fb64248

11001021000 has 128 divisors (see below), whose sum is σ = 34663973760. Its totient is φ = 2904480000.

The previous prime is 11001020969. The next prime is 11001021007. The reversal of 11001021000 is 12010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11001021000.

It is not an unprimeable number, because it can be changed into a prime (11001021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284847 + ... + 321153.

It is an arithmetic number, because the mean of its divisors is an integer number (270812295).

Almost surely, 211001021000 is an apocalyptic number.

11001021000 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 11001021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331986880).

11001021000 is an abundant number, since it is smaller than the sum of its proper divisors (23662952760).

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

11001021000 is a wasteful number, since it uses less digits than its factorization.

11001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36432 (or 36418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11001021000 its reverse (12010011), we get a palindrome (11013031011).

The spelling of 11001021000 in words is "eleven billion, one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 36307 37875 50500 60600 72614 75750 101000 108921 145228 151500 181535 217842 290456 303000 363070 435684 544605 726140 871368 907675 1089210 1452280 1815350 2178420 2723025 3630700 3667007 4356840 4538375 5446050 7261400 7334014 9076750 10892100 11001021 13615125 14668028 18153500 18335035 21784200 22002042 27230250 29336056 36307000 36670070 44004084 54460500 55005105 73340140 88008168 91675175 108921000 110010210 146680280 183350350 220020420 275025525 366700700 440040840 458375875 550051050 733401400 916751750 1100102100 1375127625 1833503500 2200204200 2750255250 3667007000 5500510500 11001021000