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10346520145 = 513919173207
BaseRepresentation
bin10011010001011001…
…10101111001010001
3222201001210200101211
421220230311321101
5132142202121040
64430401500121
7514252653523
oct115054657121
928631720354
1010346520145
11442a3827a5
122009041641
13c8b725790
147021a5a13
1540850a8ea
hex268b35e51

10346520145 has 16 divisors (see below), whose sum is σ = 13385514240. Its totient is φ = 7632149184.

The previous prime is 10346520143. The next prime is 10346520157. The reversal of 10346520145 is 54102564301.

It is a happy number.

10346520145 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10346520145 - 21 = 10346520143 is a prime.

It is a super-2 number, since 2×103465201452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10346520143) 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, 26869 + ... + 146338.

It is an arithmetic number, because the mean of its divisors is an integer number (836594640).

Almost surely, 210346520145 is an apocalyptic number.

It is an amenable number.

10346520145 is a deficient number, since it is larger than the sum of its proper divisors (3038994095).

10346520145 is a wasteful number, since it uses less digits than its factorization.

10346520145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174144.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 10346520145 in words is "ten billion, three hundred forty-six million, five hundred twenty thousand, one hundred forty-five".

Divisors: 1 5 13 65 919 4595 11947 59735 173207 866035 2251691 11258455 159177233 795886165 2069304029 10346520145