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21142430010 = 23251333475399
BaseRepresentation
bin10011101100001011…
…111110000100111010
32000120110012201121100
4103230023332010322
5321244430230020
613413535352230
71345633455432
oct235413760472
960513181540
1021142430010
118a6a394659
124120682676
131cbc293220
141047d0b2c2
1583b1d3a90
hex4ec2fe13a

21142430010 has 96 divisors (see below), whose sum is σ = 59227459200. Its totient is φ = 5201771904.

The previous prime is 21142429951. The next prime is 21142430051. The reversal of 21142430010 is 1003424112.

21142430010 is a `hidden beast` number, since 211 + 424 + 30 + 0 + 1 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3913291 + ... + 3918689.

It is an arithmetic number, because the mean of its divisors is an integer number (616952700).

Almost surely, 221142430010 is an apocalyptic number.

21142430010 is an abundant number, since it is smaller than the sum of its proper divisors (38085029190).

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

21142430010 is a wasteful number, since it uses less digits than its factorization.

21142430010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21142430010 its reverse (1003424112), we get a palindrome (22145854122).

The spelling of 21142430010 in words is "twenty-one billion, one hundred forty-two million, four hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 3347 5399 6694 10041 10798 16197 16735 20082 26995 30123 32394 33470 43511 48591 50205 53990 60246 70187 80985 87022 97182 100410 130533 140374 150615 161970 210561 217555 242955 261066 301230 350935 391599 421122 435110 485910 631683 652665 701870 783198 1052805 1263366 1305330 1957995 2105610 3158415 3915990 6316830 18070453 36140906 54211359 90352265 108422718 162634077 180704530 234915889 271056795 325268154 469831778 542113590 704747667 813170385 1174579445 1409495334 1626340770 2114243001 2349158890 3523738335 4228486002 7047476670 10571215005 21142430010