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10411106741 = 761107227869
BaseRepresentation
bin10011011001000110…
…01110000110110101
3222212120100000112222
421230203032012311
5132310220403431
64441030052125
7515665642610
oct115443160665
928776300488
1010411106741
114462886652
1220267aa045
13c9bc1a2b9
1470a9b9177
1540e01757b
hex26c8ce1b5

10411106741 has 16 divisors (see below), whose sum is σ = 12206540160. Its totient is φ = 8695442880.

The previous prime is 10411106737. The next prime is 10411106767. The reversal of 10411106741 is 14760111401.

10411106741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10411106741 - 22 = 10411106737 is a prime.

It is a super-2 number, since 2×104111067412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10411106741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411106701) 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 15 ways as a sum of consecutive naturals, for example, 68246 + ... + 159623.

It is an arithmetic number, because the mean of its divisors is an integer number (762908760).

Almost surely, 210411106741 is an apocalyptic number.

It is an amenable number.

10411106741 is a deficient number, since it is larger than the sum of its proper divisors (1795433419).

10411106741 is a wasteful number, since it uses less digits than its factorization.

10411106741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228044.

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 10411106741 in words is "ten billion, four hundred eleven million, one hundred six thousand, seven hundred forty-one".

Divisors: 1 7 61 107 427 749 6527 45689 227869 1595083 13900009 24381983 97300063 170673881 1487300963 10411106741