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35013230120 = 23511891994493
BaseRepresentation
bin100000100110111100…
…110111111000101000
310100101010120101020202
4200212330313320220
51033201341330440
624030155011332
72346442355051
oct404674677050
9110333511222
1035013230120
1113938068020
126951a39b48
1333bcba685b
1419a2191728
15d9dce5615
hex826f37e28

35013230120 has 128 divisors (see below), whose sum is σ = 87363360000. Its totient is φ = 12522977280.

The previous prime is 35013230117. The next prime is 35013230137. The reversal of 35013230120 is 2103231053.

35013230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 35013230092 and 35013230101.

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, 7790594 + ... + 7795086.

It is an arithmetic number, because the mean of its divisors is an integer number (682526250).

Almost surely, 235013230120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35013230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43681680000).

35013230120 is an abundant number, since it is smaller than the sum of its proper divisors (52350129880).

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

35013230120 is a wasteful number, since it uses less digits than its factorization.

35013230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 35013230120 its reverse (2103231053), we get a palindrome (37116461173).

The spelling of 35013230120 in words is "thirty-five billion, thirteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 199 220 356 398 440 445 712 796 890 979 995 1592 1780 1958 1990 2189 3560 3916 3980 4378 4493 4895 7832 7960 8756 8986 9790 10945 17512 17711 17972 19580 21890 22465 35422 35944 39160 43780 44930 49423 70844 87560 88555 89860 98846 141688 177110 179720 194821 197692 247115 354220 389642 395384 399877 494230 708440 779284 799754 894107 974105 988460 1558568 1599508 1788214 1948210 1976920 1999385 3199016 3576428 3896420 3998770 4398647 4470535 7152856 7792840 7997540 8797294 8941070 9835177 15995080 17594588 17882140 19670354 21993235 35189176 35764280 39340708 43986470 49175885 78681416 79575523 87972940 98351770 159151046 175945880 196703540 318302092 393407080 397877615 636604184 795755230 875330753 1591510460 1750661506 3183020920 3501323012 4376653765 7002646024 8753307530 17506615060 35013230120