Search a number
-
+
12220230230010 = 23351114992744867
BaseRepresentation
bin1011000111010011111001…
…1110110101111111111010
31121021020112212002221202000
42301310332132311333322
53100204012414330020
641553521332121430
72400611461044645
oct261647636657772
947236485087660
1012220230230010
113991630425260
121454442466276
136a8493cc655a
14303668796a5c
15162d2243c090
hexb1d3e7b5ffa

12220230230010 has 128 divisors (see below), whose sum is σ = 35573489280000. Its totient is φ = 2960502672960.

The previous prime is 12220230230009. The next prime is 12220230230027. The reversal of 12220230230010 is 1003203202221.

12220230230010 is a `hidden beast` number, since 122 + 2 + 0 + 230 + 2 + 300 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3079597 + ... + 5824463.

It is an arithmetic number, because the mean of its divisors is an integer number (277917885000).

Almost surely, 212220230230010 is an apocalyptic number.

12220230230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220230230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786744640000).

12220230230010 is an abundant number, since it is smaller than the sum of its proper divisors (23353259049990).

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

12220230230010 is a wasteful number, since it uses less digits than its factorization.

12220230230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746393 (or 2746387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220230230010 its reverse (1003203202221), we get a palindrome (13223433432231).

The spelling of 12220230230010 in words is "twelve trillion, two hundred twenty billion, two hundred thirty million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 1499 2970 2998 4497 7495 8994 13491 14990 16489 22485 26982 32978 40473 44970 49467 67455 80946 82445 98934 134910 148401 164890 202365 247335 296802 404730 445203 494670 742005 890406 1484010 2226015 2744867 4452030 5489734 8234601 13724335 16469202 24703803 27448670 30193537 41173005 49407606 60387074 74111409 82346010 90580611 123519015 148222818 150967685 181161222 247038030 271741833 301935370 370557045 452903055 543483666 741114090 815225499 905806110 1358709165 1630450998 2717418330 4076127495 4114555633 8152254990 8229111266 12343666899 20572778165 24687333798 37031000697 41145556330 45260111963 61718334495 74062001394 90520223926 111093002091 123436668990 135780335889 185155003485 222186004182 226300559815 271560671778 370310006970 407341007667 452601119630 555465010455 678901679445 814682015334 1110930020910 1222023023001 1357803358890 2036705038335 2444046046002 4073410076670 6110115115005 12220230230010