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31441011129 = 3211833826337
BaseRepresentation
bin11101010010000001…
…111100000110111001
310000011011210212000200
4131102001330012321
51003342344324004
622235505552413
72162065120323
oct352201740671
9100134725020
1031441011129
11123746a4020
126115645709
132c70aa26c8
141743994613
15c403c0239
hex75207c1b9

31441011129 has 24 divisors (see below), whose sum is σ = 50140333152. Its totient is φ = 18825573120.

The previous prime is 31441011073. The next prime is 31441011149. The reversal of 31441011129 is 92111014413.

It is not a de Polignac number, because 31441011129 - 219 = 31440486841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31441011149) 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 23 ways as a sum of consecutive naturals, for example, 1904952 + ... + 1921385.

It is an arithmetic number, because the mean of its divisors is an integer number (2089180548).

Almost surely, 231441011129 is an apocalyptic number.

It is an amenable number.

31441011129 is a deficient number, since it is larger than the sum of its proper divisors (18699322023).

31441011129 is a wasteful number, since it uses less digits than its factorization.

31441011129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826437 (or 3826434 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 31441011129 in words is "thirty-one billion, four hundred forty-one million, eleven thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 3826337 11479011 34437033 42089707 126269121 317585971 378807363 952757913 2858273739 3493445681 10480337043 31441011129