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10435113020 = 2254618091399
BaseRepresentation
bin10011011011111101…
…10011000000111100
3222221020111122222102
421231332303000330
5132332342104040
64443244404232
7516406666013
oct115576630074
928836448872
1010435113020
114475392952
122032846678
13ca3ba40b7
1470dc67a7a
154111aa515
hex26dfb303c

10435113020 has 48 divisors (see below), whose sum is σ = 22004136000. Its totient is φ = 4156869120.

The previous prime is 10435112993. The next prime is 10435113037. The reversal of 10435113020 is 2031153401.

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 = 10435112983 and 10435113001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7458281 + ... + 7459679.

It is an arithmetic number, because the mean of its divisors is an integer number (458419500).

Almost surely, 210435113020 is an apocalyptic number.

10435113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10435113020 is an abundant number, since it is smaller than the sum of its proper divisors (11569022980).

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

10435113020 is a wasteful number, since it uses less digits than its factorization.

10435113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10435113020 its reverse (2031153401), we get a palindrome (12466266421).

The spelling of 10435113020 in words is "ten billion, four hundred thirty-five million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 461 809 922 1399 1618 1844 2305 2798 3236 4045 4610 5596 6995 8090 9220 13990 16180 27980 372949 644939 745898 1131791 1289878 1491796 1864745 2263582 2579756 3224695 3729490 4527164 5658955 6449390 7458980 11317910 12898780 22635820 521755651 1043511302 2087022604 2608778255 5217556510 10435113020