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31441112031 = 3741152323977
BaseRepresentation
bin11101010010000010…
…010100101111011111
310000011011222222102210
4131102002110233133
51003342411041111
622235512051503
72162066020440
oct352202245737
9100134888383
1031441112031
111237476290a
126115693b93
132c70b09604
1417439bd2c7
15c403e00a6
hex752094bdf

31441112031 has 32 divisors (see below), whose sum is σ = 49113082368. Its totient is φ = 17515906560.

The previous prime is 31441112029. The next prime is 31441112047. The reversal of 31441112031 is 13021114413.

It is not a de Polignac number, because 31441112031 - 21 = 31441112029 is a prime.

It is a super-2 number, since 2×314411120312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31441111989 and 31441112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441112081) 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 31 ways as a sum of consecutive naturals, for example, 1299315 + ... + 1323291.

It is an arithmetic number, because the mean of its divisors is an integer number (1534783824).

Almost surely, 231441112031 is an apocalyptic number.

31441112031 is a deficient number, since it is larger than the sum of its proper divisors (17671970337).

31441112031 is a wasteful number, since it uses less digits than its factorization.

31441112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25551.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31441112031 its reverse (13021114413), we get a palindrome (44462226444).

The spelling of 31441112031 in words is "thirty-one billion, four hundred forty-one million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 41 123 287 861 1523 4569 10661 23977 31983 62443 71931 167839 187329 437101 503517 983057 1311303 2949171 6881399 20644197 36516971 109550913 255618797 766856391 1497195811 4491587433 10480370677 31441112031