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10414003122 = 2324831119759
BaseRepresentation
bin10011011001011100…
…10001001110110010
3222212202210011122100
421230232101032302
5132311441044442
64441212121230
7516032365065
oct115456211662
928782704570
1010414003122
114464484756
122027766216
13c9c6c2733
1470b1308dc
1540e3da84c
hex26cb913b2

10414003122 has 24 divisors (see below), whose sum is σ = 22568532480. Its totient is φ = 3470586840.

The previous prime is 10414003099. The next prime is 10414003139. The reversal of 10414003122 is 22130041401.

10414003122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104140031222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10414003095 and 10414003104.

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 11 ways as a sum of consecutive naturals, for example, 27079 + ... + 146837.

It is an arithmetic number, because the mean of its divisors is an integer number (940355520).

Almost surely, 210414003122 is an apocalyptic number.

10414003122 is an abundant number, since it is smaller than the sum of its proper divisors (12154529358).

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

10414003122 is a wasteful number, since it uses less digits than its factorization.

10414003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124598 (or 124595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10414003122 its reverse (22130041401), we get a palindrome (32544044523).

The spelling of 10414003122 in words is "ten billion, four hundred fourteen million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 4831 9662 14493 28986 43479 86958 119759 239518 359277 718554 1077831 2155662 578555729 1157111458 1735667187 3471334374 5207001561 10414003122