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10413212423020 = 22511293209976963
BaseRepresentation
bin1001011110001000001111…
…0100111101001101101100
31100212111022200022020212221
42113202003310331031230
52331102224340014040
634051432545205124
72123221053111121
oct227420364751554
940774280266787
1010413212423020
113355244a39390
1212021979307a4
135a6c66b82244
14280005d54748
15130d1174d74a
hex97883d3d36c

10413212423020 has 96 divisors (see below), whose sum is σ = 23948857094400. Its totient is φ = 3771852207360.

The previous prime is 10413212422973. The next prime is 10413212423051. The reversal of 10413212423020 is 2032421231401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135263059 + ... + 135340021.

It is an arithmetic number, because the mean of its divisors is an integer number (249467261400).

Almost surely, 210413212423020 is an apocalyptic number.

10413212423020 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 10413212423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974428547200).

10413212423020 is an abundant number, since it is smaller than the sum of its proper divisors (13535644671380).

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

10413212423020 is a wasteful number, since it uses less digits than its factorization.

10413212423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79375 (or 79373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10413212423020 its reverse (2032421231401), we get a palindrome (12445633654421).

The spelling of 10413212423020 in words is "ten trillion, four hundred thirteen billion, two hundred twelve million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2099 2930 3223 4198 5860 6446 8396 10495 12892 16115 20990 23089 32230 41980 46178 64460 76963 92356 115445 153926 230890 307852 384815 461780 615007 769630 846593 1230014 1539260 1693186 2460028 3075035 3386372 4232965 6150070 6765077 8465930 12300140 13530154 16931860 22550159 27060308 33825385 45100318 67650770 90200636 112750795 135301540 161545337 225501590 248051749 323090674 451003180 496103498 646181348 807726685 992206996 1240258745 1615453370 1776998707 2480517490 3230906740 3553997414 4961034980 7107994828 8884993535 17769987070 35539974140 47332783741 94665567482 189331134964 236663918705 473327837410 520660621151 946655674820 1041321242302 2082642484604 2603303105755 5206606211510 10413212423020