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10320121020 = 22351125162297
BaseRepresentation
bin10011001110010000…
…01000110010111100
3222122020010110121110
421213020020302330
5132113422333040
64424020002020
7513512403246
oct114710106274
928566113543
1010320121020
114416491740
122000230310
13c861117b1
146dc893096
15406043980
hex267208cbc

10320121020 has 96 divisors (see below), whose sum is σ = 31649377536. Its totient is φ = 2491840000.

The previous prime is 10320120991. The next prime is 10320121037. The reversal of 10320121020 is 2012102301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10320120987 and 10320121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134512 + ... + 196808.

It is an arithmetic number, because the mean of its divisors is an integer number (329681016).

Almost surely, 210320121020 is an apocalyptic number.

10320121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824688768).

10320121020 is an abundant number, since it is smaller than the sum of its proper divisors (21329256516).

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

10320121020 is a wasteful number, since it uses less digits than its factorization.

10320121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62571 (or 62569 counting only the distinct ones).

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

Adding to 10320121020 its reverse (2012102301), we get a palindrome (12332223321).

The spelling of 10320121020 in words is "ten billion, three hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 1004 1255 1506 2510 2761 3012 3765 5020 5522 7530 8283 11044 13805 15060 16566 27610 33132 41415 55220 62297 82830 124594 165660 186891 249188 311485 373782 622970 685267 747564 934455 1245940 1370534 1868910 2055801 2741068 3426335 3737820 4111602 6852670 8223204 10279005 13705340 15636547 20558010 31273094 41116020 46909641 62546188 78182735 93819282 156365470 172002017 187638564 234548205 312730940 344004034 469096410 516006051 688008068 860010085 938192820 1032012102 1720020170 2064024204 2580030255 3440040340 5160060510 10320121020