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10142034301 = 717198115531
BaseRepresentation
bin10010111001000001…
…10010100101111101
3222011211000201120001
421130200302211331
5131232330044201
64354214554301
7506220604060
oct113440624575
928154021501
1010142034301
114334a06533
121b70668991
13c5825a739
146c2d768d7
153e55b7301
hex25c83297d

10142034301 has 32 divisors (see below), whose sum is σ = 12936913920. Its totient is φ = 7740230400.

The previous prime is 10142034293. The next prime is 10142034313. The reversal of 10142034301 is 10343024101.

10142034301 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 10142034301 - 23 = 10142034293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142034341) 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 31 ways as a sum of consecutive naturals, for example, 1830906 + ... + 1836436.

It is an arithmetic number, because the mean of its divisors is an integer number (404278560).

Almost surely, 210142034301 is an apocalyptic number.

It is an amenable number.

10142034301 is a deficient number, since it is larger than the sum of its proper divisors (2794879619).

10142034301 is a wasteful number, since it uses less digits than its factorization.

10142034301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10142034301 its reverse (10343024101), we get a palindrome (20485058402).

The spelling of 10142034301 in words is "ten billion, one hundred forty-two million, thirty-four thousand, three hundred one".

Divisors: 1 7 17 19 119 133 323 811 2261 5531 5677 13787 15409 38717 94027 96509 105089 107863 261953 658189 735623 1786513 1833671 4485641 12505591 31399487 76255897 85227179 533791279 596590253 1448862043 10142034301