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10011333020 = 225132910712409
BaseRepresentation
bin10010101001011100…
…01101000110011100
3221211201002102002212
421110232031012130
5131000400124040
64333225335552
7503042632553
oct112456150634
927751072085
1010011333020
114278155747
121b349375b8
13c371579c0
146ad872d9a
153d8d9ad65
hex254b8d19c

10011333020 has 96 divisors (see below), whose sum is σ = 23642539200. Its totient is φ = 3535386624.

The previous prime is 10011332983. The next prime is 10011333067. The reversal of 10011333020 is 2033311001.

It is a junction number, because it is equal to n+sod(n) for n = 10011332986 and 10011333004.

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, 800576 + ... + 812984.

It is an arithmetic number, because the mean of its divisors is an integer number (246276450).

Almost surely, 210011333020 is an apocalyptic number.

10011333020 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 10011333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821269600).

10011333020 is an abundant number, since it is smaller than the sum of its proper divisors (13631206180).

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

10011333020 is a wasteful number, since it uses less digits than its factorization.

10011333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10011333020 its reverse (2033311001), we get a palindrome (12044644021).

The spelling of 10011333020 in words is "ten billion, eleven million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 107 116 130 145 214 260 290 377 428 535 580 754 1070 1391 1508 1885 2140 2782 3103 3770 5564 6206 6955 7540 12409 12412 13910 15515 24818 27820 31030 40339 49636 62045 62060 80678 124090 161317 161356 201695 248180 322634 359861 403390 645268 719722 806585 806780 1327763 1439444 1613170 1799305 2655526 3226340 3598610 4678193 5311052 6638815 7197220 9356386 13277630 17260919 18712772 23390965 26555260 34521838 38505127 46781930 69043676 77010254 86304595 93563860 154020508 172609190 192525635 345218380 385051270 500566651 770102540 1001133302 2002266604 2502833255 5005666510 10011333020