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10346511142 = 2111924752419
BaseRepresentation
bin10011010001011001…
…10011101100100110
3222201001210020001101
421220230303230212
5132142201324032
64430401350314
7514252615342
oct115054635446
928631706041
1010346511142
11442a376a60
12200903839a
13c8b721656
147021a2622
15408507de7
hex268b33b26

10346511142 has 16 divisors (see below), whose sum is σ = 17821742400. Its totient is φ = 4455435240.

The previous prime is 10346511121. The next prime is 10346511143. The reversal of 10346511142 is 24111564301.

10346511142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10346511142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346511143) 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 7 ways as a sum of consecutive naturals, for example, 12375792 + ... + 12376627.

It is an arithmetic number, because the mean of its divisors is an integer number (1113858900).

Almost surely, 210346511142 is an apocalyptic number.

10346511142 is a deficient number, since it is larger than the sum of its proper divisors (7475231258).

10346511142 is a wasteful number, since it uses less digits than its factorization.

10346511142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24752451.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 10346511142 in words is "ten billion, three hundred forty-six million, five hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 11 19 22 38 209 418 24752419 49504838 272276609 470295961 544553218 940591922 5173255571 10346511142