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20112429930 = 23553103127967
BaseRepresentation
bin10010101110110010…
…110101001101101010
31220220200002022010020
4102232302311031222
5312142240224210
613123423101310
71311255555645
oct225662651552
956820068106
1020112429930
118590a4031a
123a93741836
131b86a81018
14d8b1d0a5c
157caa78770
hex4aecb536a

20112429930 has 128 divisors (see below), whose sum is σ = 50100830208. Its totient is φ = 5164653312.

The previous prime is 20112429929. The next prime is 20112430007. The reversal of 20112429930 is 3992421102.

It is a junction number, because it is equal to n+sod(n) for n = 20112429891 and 20112429900.

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, 20798307 + ... + 20799273.

It is an arithmetic number, because the mean of its divisors is an integer number (391412736).

Almost surely, 220112429930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112429930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050415104).

20112429930 is an abundant number, since it is smaller than the sum of its proper divisors (29988400278).

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

20112429930 is a wasteful number, since it uses less digits than its factorization.

20112429930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 20112429930 in words is "twenty billion, one hundred twelve million, four hundred twenty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 103 106 127 159 206 254 265 309 318 381 515 530 618 635 762 795 967 1030 1270 1545 1590 1905 1934 2901 3090 3810 4835 5459 5802 6731 9670 10918 13081 13462 14505 16377 20193 26162 27295 29010 32754 33655 39243 40386 51251 54590 65405 67310 78486 81885 99601 100965 102502 122809 130810 153753 163770 196215 199202 201930 245618 256255 298803 307506 368427 392430 498005 512510 597606 614045 693293 736854 768765 996010 1228090 1386586 1494015 1537530 1842135 2079879 2988030 3466465 3684270 4159758 5278853 6508877 6932930 10399395 10557706 12649327 13017754 15836559 19526631 20798790 25298654 26394265 31673118 32544385 37947981 39053262 52788530 63246635 65088770 75895962 79182795 97633155 126493270 158365590 189739905 195266310 379479810 670414331 1340828662 2011242993 3352071655 4022485986 6704143310 10056214965 20112429930