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31434010001 = 192323127451
BaseRepresentation
bin11101010001100111…
…001110110110010001
310000010200122011021122
4131101213032312101
51003334101310001
622235055532025
72161651451012
oct352147166621
9100120564248
1031434010001
1112370751a69
12611322a015
132c6c4c0b24
141742a91009
15c3e98ab1b
hex7519ced91

31434010001 has 12 divisors (see below), whose sum is σ = 34589619120. Its totient is φ = 28484814600.

The previous prime is 31434009983. The next prime is 31434010007. The reversal of 31434010001 is 10001043413.

It is a de Polignac number, because none of the positive numbers 2k-31434010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31434010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1553675 + ... + 1573776.

It is an arithmetic number, because the mean of its divisors is an integer number (2882468260).

Almost surely, 231434010001 is an apocalyptic number.

It is an amenable number.

31434010001 is a deficient number, since it is larger than the sum of its proper divisors (3155609119).

31434010001 is a wasteful number, since it uses less digits than its factorization.

31434010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127516 (or 3127493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31434010001 its reverse (10001043413), we get a palindrome (41435053414).

The spelling of 31434010001 in words is "thirty-one billion, four hundred thirty-four million, ten thousand, one".

Divisors: 1 19 23 437 529 10051 3127451 59421569 71931373 1366696087 1654421579 31434010001