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20123120010 = 23572933929
BaseRepresentation
bin10010101111011011…
…100111000110001010
31220221102012102011010
4102233123213012022
5312203004320020
613124444144350
71311445461240
oct225733470612
956842172133
1020123120010
118596a819a4
123a972380b6
131b89054a06
14d8c7b4790
157cb98ade0
hex4af6e718a

20123120010 has 128 divisors (see below), whose sum is σ = 57180556800. Its totient is φ = 4439834112.

The previous prime is 20123120009. The next prime is 20123120041. The reversal of 20123120010 is 1002132102.

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 63 ways as a sum of consecutive naturals, for example, 5119726 + ... + 5123654.

It is an arithmetic number, because the mean of its divisors is an integer number (446723100).

Almost surely, 220123120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28590278400).

20123120010 is an abundant number, since it is smaller than the sum of its proper divisors (37057436790).

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

20123120010 is an equidigital number, since it uses as much as digits as its factorization.

20123120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 3975 counting only the distinct ones).

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

Adding to 20123120010 its reverse (1002132102), we get a palindrome (21125252112).

The spelling of 20123120010 in words is "twenty billion, one hundred twenty-three million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 841 870 1015 1218 1682 2030 2523 3045 3929 4205 5046 5887 6090 7858 8410 11774 11787 12615 17661 19645 23574 24389 25230 27503 29435 35322 39290 48778 55006 58870 58935 73167 82509 88305 113941 117870 121945 137515 146334 165018 170723 176610 227882 243890 275030 341446 341823 365835 412545 512169 569705 683646 731670 797587 825090 853615 1024338 1139410 1595174 1707230 1709115 2392761 2560845 3304289 3418230 3987935 4785522 5121690 6608578 7975870 9912867 11963805 16521445 19825734 23130023 23927610 33042890 46260046 49564335 69390069 95824381 99128670 115650115 138780138 191648762 231300230 287473143 346950345 479121905 574946286 670770667 693900690 958243810 1341541334 1437365715 2012312001 2874731430 3353853335 4024624002 6707706670 10061560005 20123120010