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23011221000 = 2335327727691
BaseRepresentation
bin10101011011100100…
…110101111000001000
32012101200200010220110
4111123210311320020
5334111333033000
614323214154320
71443145102605
oct253344657010
965350603813
1023011221000
119839263a19
1245624b29a0
1322294ba701
1411841ad6ac
158ea2c9850
hex55b935e08

23011221000 has 128 divisors (see below), whose sum is σ = 72056799360. Its totient is φ = 6113952000.

The previous prime is 23011220977. The next prime is 23011221061. The reversal of 23011221000 is 12211032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817155 + ... + 844845.

It is an arithmetic number, because the mean of its divisors is an integer number (562943745).

Almost surely, 223011221000 is an apocalyptic number.

23011221000 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 23011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36028399680).

23011221000 is an abundant number, since it is smaller than the sum of its proper divisors (49045578360).

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

23011221000 is a wasteful number, since it uses less digits than its factorization.

23011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27992 (or 27978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23011221000 its reverse (12211032), we get a palindrome (23023432032).

The spelling of 23011221000 in words is "twenty-three billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 750 831 1000 1108 1385 1500 1662 2216 2770 3000 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27691 27700 33240 34625 41550 55382 55400 69250 83073 83100 103875 110764 138455 138500 166146 166200 207750 221528 276910 277000 332292 415365 415500 553820 664584 692275 830730 831000 1107640 1384550 1661460 2076825 2769100 3322920 3461375 4153650 5538200 6922750 7670407 8307300 10384125 13845500 15340814 16614600 20768250 23011221 27691000 30681628 38352035 41536500 46022442 61363256 76704070 83073000 92044884 115056105 153408140 184089768 191760175 230112210 306816280 383520350 460224420 575280525 767040700 920448840 958800875 1150561050 1534081400 1917601750 2301122100 2876402625 3835203500 4602244200 5752805250 7670407000 11505610500 23011221000