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10414113010 = 2575915716061
BaseRepresentation
bin10011011001011101…
…01100000011110010
3222212202222202101021
421230232230003302
5132312003104020
64441214330054
7516033333340
oct115456540362
928782882337
1010414113010
11446454a274
1220277b992a
13c9c730762
1470b15c990
1540e40d1aa
hex26cbac0f2

10414113010 has 64 divisors (see below), whose sum is σ = 21926557440. Its totient is φ = 3487461120.

The previous prime is 10414113007. The next prime is 10414113019. The reversal of 10414113010 is 1031141401.

10414113010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10414113019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 640380 + ... + 656440.

It is an arithmetic number, because the mean of its divisors is an integer number (342602460).

Almost surely, 210414113010 is an apocalyptic number.

10414113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10414113010 is an abundant number, since it is smaller than the sum of its proper divisors (11512444430).

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

10414113010 is a wasteful number, since it uses less digits than its factorization.

10414113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10414113010 its reverse (1031141401), we get a palindrome (11445254411).

The spelling of 10414113010 in words is "ten billion, four hundred fourteen million, one hundred thirteen thousand, ten".

Divisors: 1 2 5 7 10 14 35 59 70 118 157 295 314 413 590 785 826 1099 1570 2065 2198 4130 5495 9263 10990 16061 18526 32122 46315 64841 80305 92630 112427 129682 160610 224854 324205 562135 648410 947599 1124270 1895198 2521577 4737995 5043154 6633193 9475990 12607885 13266386 17651039 25215770 33165965 35302078 66331930 88255195 148773043 176510390 297546086 743865215 1041411301 1487730430 2082822602 5207056505 10414113010