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10342456371 = 3213199115107
BaseRepresentation
bin10011010000111010…
…10101110000110011
3222200210011012221200
421220131111300303
5132140132100441
64430134422243
7514203300012
oct115035256063
928623135850
1010342456371
114428057605
122007801983
13c8a931b90
14701828a79
15407ea67b6
hex268755c33

10342456371 has 48 divisors (see below), whose sum is σ = 16956925440. Its totient is φ = 6021812160.

The previous prime is 10342456357. The next prime is 10342456373. The reversal of 10342456371 is 17365424301.

10342456371 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 24 + 563 + 71 = 666.

10342456371 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10342456371 - 26 = 10342456307 is a prime.

It is a super-3 number, since 3×103424563713 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342456373) 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 47 ways as a sum of consecutive naturals, for example, 2022600 + ... + 2027706.

It is an arithmetic number, because the mean of its divisors is an integer number (353269280).

Almost surely, 210342456371 is an apocalyptic number.

10342456371 is a deficient number, since it is larger than the sum of its proper divisors (6614469069).

10342456371 is a wasteful number, since it uses less digits than its factorization.

10342456371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10342456371 in words is "ten billion, three hundred forty-two million, four hundred fifty-six thousand, three hundred seventy-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 911 2223 2733 5107 8199 11843 15321 17309 35529 45963 51927 66391 97033 106587 155781 199173 225017 291099 597519 675051 873297 1261429 2025153 3784287 4652477 11352861 13957431 41872293 60482201 88397063 181446603 265191189 544339809 795573567 1149161819 3447485457 10342456371