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31131101201 = 312114347497
BaseRepresentation
bin11100111111100011…
…101110100000010001
32222100120122210112012
4130333203232200101
51002224030214301
622145035312305
72151312664664
oct347743564021
988316583465
1031131101201
1112225771112
1260498ab695
132c21815055
1417147616db
15c230a4ebb
hex73f8ee811

31131101201 has 8 divisors (see below), whose sum is σ = 32137526784. Its totient is φ = 30124812960.

The previous prime is 31131101189. The next prime is 31131101207. The reversal of 31131101201 is 10210113113.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31131101201 - 26 = 31131101137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31131101207) 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 7 ways as a sum of consecutive naturals, for example, 631685 + ... + 679181.

It is an arithmetic number, because the mean of its divisors is an integer number (4017190848).

Almost surely, 231131101201 is an apocalyptic number.

31131101201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31131101201 is a deficient number, since it is larger than the sum of its proper divisors (1006425583).

31131101201 is a wasteful number, since it uses less digits than its factorization.

31131101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68671.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31131101201 its reverse (10210113113), we get a palindrome (41341214314).

The spelling of 31131101201 in words is "thirty-one billion, one hundred thirty-one million, one hundred one thousand, two hundred one".

Divisors: 1 31 21143 47497 655433 1472407 1004229071 31131101201