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3131131000 = 23534372817
BaseRepresentation
bin1011101010100001…
…0100010001111000
322002012202221020211
42322220110101320
522403032143000
61234411000504
7140410113544
oct27250242170
98065687224
103131131000
111367495078
12734739134
133ab907a4a
14219bbca24
15134d477ba
hexbaa14478

3131131000 has 64 divisors (see below), whose sum is σ = 7497341280. Its totient is φ = 1223308800.

The previous prime is 3131130991. The next prime is 3131131001. The reversal of 3131131000 is 1311313.

It is a happy number.

It is a super-2 number, since 2×31311310002 = 19607962678322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6592 + ... + 79408.

Almost surely, 23131131000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748670640).

3131131000 is an abundant number, since it is smaller than the sum of its proper divisors (4366210280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131131000 is a wasteful number, since it uses less digits than its factorization.

3131131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72881 (or 72867 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3131131000 is about 55956.5098983130. The cubic root of 3131131000 is about 1462.9643593270.

Adding to 3131131000 its reverse (1311313), we get a palindrome (3132442313).

The spelling of 3131131000 in words is "three billion, one hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 43000 72817 145634 291268 364085 582536 728170 1456340 1820425 2912680 3131131 3640850 6262262 7281700 9102125 12524524 14563400 15655655 18204250 25049048 31311310 36408500 62622620 72817000 78278275 125245240 156556550 313113100 391391375 626226200 782782750 1565565500 3131131000