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20020121310 = 2357596126489
BaseRepresentation
bin10010101001010010…
…101100111011011110
31220200020101112111110
4102221102230323132
5312000122340220
613110324402450
71306055136420
oct225122547336
956606345443
1020020121310
118543922502
123a68846426
131b70901337
14d7cc42810
157c28e2be0
hex4a94acede

20020121310 has 128 divisors (see below), whose sum is σ = 56760652800. Its totient is φ = 4424555520.

The previous prime is 20020121221. The next prime is 20020121321. The reversal of 20020121310 is 1312102002.

It is a super-2 number, since 2×200201213102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 742546 + ... + 769034.

It is an arithmetic number, because the mean of its divisors is an integer number (443442600).

Almost surely, 220020121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28380326400).

20020121310 is an abundant number, since it is smaller than the sum of its proper divisors (36740531490).

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

20020121310 is a wasteful number, since it uses less digits than its factorization.

20020121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26626.

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

Adding to 20020121310 its reverse (1312102002), we get a palindrome (21332223312).

The spelling of 20020121310 in words is "twenty billion, twenty million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 61 70 105 118 122 177 183 210 295 305 354 366 413 427 590 610 826 854 885 915 1239 1281 1770 1830 2065 2135 2478 2562 3599 4130 4270 6195 6405 7198 10797 12390 12810 17995 21594 25193 26489 35990 50386 52978 53985 75579 79467 107970 125965 132445 151158 158934 185423 251930 264890 370846 377895 397335 556269 755790 794670 927115 1112538 1562851 1615829 1854230 2781345 3125702 3231658 4688553 4847487 5562690 7814255 8079145 9377106 9694974 10939957 11310803 15628510 16158290 21879914 22621606 23442765 24237435 32819871 33932409 46885530 48474870 54699785 56554015 65639742 67864818 95333911 109399570 113108030 164099355 169662045 190667822 286001733 328198710 339324090 476669555 572003466 667337377 953339110 1334674754 1430008665 2002012131 2860017330 3336686885 4004024262 6673373770 10010060655 20020121310