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10351124040 = 2335412103887
BaseRepresentation
bin10011010001111100…
…11001111001001000
3222201101110120202110
421220332121321020
5132144341432130
64431044302320
7514340050125
oct115076317110
928641416673
1010351124040
114431a37774
12200a6a19a0
13c8c67818a
14702a4374c
15408b19ab0
hex268f99e48

10351124040 has 64 divisors (see below), whose sum is σ = 31810786560. Its totient is φ = 2692974080.

The previous prime is 10351124011. The next prime is 10351124059. The reversal of 10351124040 is 4042115301.

10351124040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10351123998 and 10351124016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047024 + ... + 1056863.

It is an arithmetic number, because the mean of its divisors is an integer number (497043540).

Almost surely, 210351124040 is an apocalyptic number.

10351124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10351124040 is an abundant number, since it is smaller than the sum of its proper divisors (21459662520).

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

10351124040 is a wasteful number, since it uses less digits than its factorization.

10351124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103942 (or 2103938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10351124040 its reverse (4042115301), we get a palindrome (14393239341).

The spelling of 10351124040 in words is "ten billion, three hundred fifty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 2103887 4207774 6311661 8415548 10519435 12623322 16831096 21038870 25246644 31558305 42077740 50493288 63116610 84155480 86259367 126233220 172518734 252466440 258778101 345037468 431296835 517556202 690074936 862593670 1035112404 1293890505 1725187340 2070224808 2587781010 3450374680 5175562020 10351124040