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10104420020 = 22519471992843
BaseRepresentation
bin10010110100100010…
…10011011010110100
3222002012020201110112
421122101103122310
5131143212420040
64350352442152
7505253103332
oct113221233264
928065221415
1010104420020
114315755352
121b5bb49358
13c5051aa76
146bbd84b52
153e2137365
hex25a4536b4

10104420020 has 96 divisors (see below), whose sum is σ = 22934016000. Its totient is φ = 3727430784.

The previous prime is 10104419993. The next prime is 10104420031. The reversal of 10104420020 is 2002440101.

It is a junction number, because it is equal to n+sod(n) for n = 10104419977 and 10104420004.

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, 3552719 + ... + 3555561.

It is an arithmetic number, because the mean of its divisors is an integer number (238896000).

Almost surely, 210104420020 is an apocalyptic number.

10104420020 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 10104420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467008000).

10104420020 is an abundant number, since it is smaller than the sum of its proper divisors (12829595980).

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

10104420020 is a wasteful number, since it uses less digits than its factorization.

10104420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10104420020 its reverse (2002440101), we get a palindrome (12106860121).

The spelling of 10104420020 in words is "ten billion, one hundred four million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 199 235 380 398 470 796 893 940 995 1786 1990 2843 3572 3781 3980 4465 5686 7562 8930 9353 11372 14215 15124 17860 18706 18905 28430 37412 37810 46765 54017 56860 75620 93530 108034 133621 177707 187060 216068 267242 270085 355414 534484 540170 565757 668105 710828 888535 1080340 1131514 1336210 1777070 2263028 2538799 2672420 2828785 3554140 5077598 5657570 10155196 10749383 11315140 12693995 21498766 25387990 26590579 42997532 50775980 53181158 53746915 106362316 107493830 132952895 214987660 265905790 505221001 531811580 1010442002 2020884004 2526105005 5052210010 10104420020