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6131053500 = 223531113101283
BaseRepresentation
bin1011011010111000…
…00111001110111100
3120211021122210021120
411231130013032330
5100024022203000
62452213430540
7304635044355
oct55534071674
916737583246
106131053500
112666902270
12123133b450
13769292c10
144223a4d2c
1525d3c36a0
hex16d7073bc

6131053500 has 384 divisors, whose sum is σ = 21257413632. Its totient is φ = 1353600000.

The previous prime is 6131053463. The next prime is 6131053529. The reversal of 6131053500 is 53501316.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21664359 + ... + 21664641.

It is an arithmetic number, because the mean of its divisors is an integer number (55357848).

Almost surely, 26131053500 is an apocalyptic number.

6131053500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6131053500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628706816).

6131053500 is an abundant number, since it is smaller than the sum of its proper divisors (15126360132).

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

6131053500 is a wasteful number, since it uses less digits than its factorization.

6131053500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 6131053500 is about 78301.0440543420. The cubic root of 6131053500 is about 1830.2554213638.

Adding to 6131053500 its reverse (53501316), we get a palindrome (6184554816).

It can be divided in two parts, 613105 and 3500, that added together give a triangular number (616605 = T1110).

The spelling of 6131053500 in words is "six billion, one hundred thirty-one million, fifty-three thousand, five hundred".