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10347106301 = 7232911871867
BaseRepresentation
bin10011010001011110…
…00100111111111101
3222201002220110110022
421220233010333331
5132142324400201
64430422221525
7514260644450
oct115057047775
928632813408
1010347106301
11442a743124
1220092848a5
13c8b89c50c
147022b9497
154085c441b
hex268bc4ffd

10347106301 has 32 divisors (see below), whose sum is σ = 12782499840. Its totient is φ = 8179528896.

The previous prime is 10347106271. The next prime is 10347106307. The reversal of 10347106301 is 10360174301.

It is a de Polignac number, because none of the positive numbers 2k-10347106301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347106307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5541170 + ... + 5543036.

It is an arithmetic number, because the mean of its divisors is an integer number (399453120).

Almost surely, 210347106301 is an apocalyptic number.

It is an amenable number.

10347106301 is a deficient number, since it is larger than the sum of its proper divisors (2435393539).

10347106301 is a wasteful number, since it uses less digits than its factorization.

10347106301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 10347106301 in words is "ten billion, three hundred forty-seven million, one hundred six thousand, three hundred one".

Divisors: 1 7 23 29 161 203 667 1187 1867 4669 8309 13069 27301 34423 42941 54143 191107 240961 300587 379001 791729 1245289 2216129 5542103 8717023 15512903 50970967 64267741 356796769 449874187 1478158043 10347106301