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31190000445 = 3253785321961
BaseRepresentation
bin11101000011000100…
…011010001100111101
32222111200111012002200
4131003010122030331
51002334120003240
622154541542113
72152626425622
oct350304321475
988450435080
1031190000445
1112255a3aa7a
126065574939
132c30a97c86
14171c4d4349
15c2833b930
hex74311a33d

31190000445 has 48 divisors (see below), whose sum is σ = 55591444272. Its totient is φ = 16165370880.

The previous prime is 31190000423. The next prime is 31190000447. The reversal of 31190000445 is 54400009113.

31190000445 is a `hidden beast` number, since 31 + 190 + 0 + 0 + 0 + 445 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48692484 + 31141307961 = 6978^2 + 176469^2 .

It is not a de Polignac number, because 31190000445 - 26 = 31190000381 is a prime.

It is a super-2 number, since 2×311900004452 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31190000447) 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 47 ways as a sum of consecutive naturals, for example, 1409265 + ... + 1431225.

It is an arithmetic number, because the mean of its divisors is an integer number (1158155089).

Almost surely, 231190000445 is an apocalyptic number.

It is an amenable number.

31190000445 is a deficient number, since it is larger than the sum of its proper divisors (24401443827).

31190000445 is a wasteful number, since it uses less digits than its factorization.

31190000445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22862 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 31190000445 its reverse (54400009113), we get a palindrome (85590009558).

The spelling of 31190000445 in words is "thirty-one billion, one hundred ninety million, four hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 37 45 111 185 333 555 853 1665 2559 4265 7677 12795 21961 31561 38385 65883 94683 109805 157805 197649 284049 329415 473415 812557 988245 1420245 2437671 4062785 7313013 12188355 18732733 36565065 56198199 93663665 168594597 280990995 693111121 842972985 2079333363 3465555605 6238000089 10396666815 31190000445