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5331041300 = 22521335311617
BaseRepresentation
bin1001111011100000…
…10011110000010100
3111202112021221212002
410331300103300110
541404221310200
62240554414432
7246052050314
oct47560236024
914675257762
105331041300
112296263262
121049431418
1366c607610
14388035444
15213047bd5
hex13dc13c14

5331041300 has 72 divisors (see below), whose sum is σ = 12494601336. Its totient is φ = 1962639360.

The previous prime is 5331041273. The next prime is 5331041311. The reversal of 5331041300 is 31401335.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3042184336 + 2288856964 = 55156^2 + 47842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453092 + ... + 464708.

Almost surely, 25331041300 is an apocalyptic number.

5331041300 is a gapful number since it is divisible by the number (50) 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 5331041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247300668).

5331041300 is an abundant number, since it is smaller than the sum of its proper divisors (7163560036).

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

5331041300 is a wasteful number, since it uses less digits than its factorization.

5331041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5331041300 is about 73013.9801681842. The cubic root of 5331041300 is about 1746.9106091672.

Adding to 5331041300 its reverse (31401335), we get a palindrome (5362442635).

The spelling of 5331041300 in words is "five billion, three hundred thirty-one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 353 650 706 1300 1412 1765 3530 4589 7060 8825 9178 11617 17650 18356 22945 23234 35300 45890 46468 58085 91780 114725 116170 151021 229450 232340 290425 302042 458900 580850 604084 755105 1161700 1510210 3020420 3775525 4100801 7551050 8201602 15102100 16403204 20504005 41008010 53310413 82016020 102520025 106620826 205040050 213241652 266552065 410080100 533104130 1066208260 1332760325 2665520650 5331041300