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31004125102080 = 21632513808693
BaseRepresentation
bin1110000110010101101011…
…10111010000000000000000
311001202222001210020002012200
413003022311313100000000
513030432422011231310
6145535033132553200
76346655060053014
oct703126567200000
9131688053202180
1031004125102080
119973859387219
123588982922800
13143b8a421b7a0
147928715d0544
1538b74d7779c0
hex1c32b5dd0000

31004125102080 has 408 divisors, whose sum is σ = 115747993751208. Its totient is φ = 7631775203328.

The previous prime is 31004125102073. The next prime is 31004125102081. The reversal of 31004125102080 is 8020152140013.

31004125102080 is a `hidden beast` number, since 3 + 10 + 0 + 41 + 2 + 510 + 20 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 817100292096 + 30187024809984 = 903936^2 + 5494272^2 .

It is a super-2 number, since 2×310041251020802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004125102081) 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 23 ways as a sum of consecutive naturals, for example, 37934214 + ... + 38742906.

Almost surely, 231004125102080 is an apocalyptic number.

31004125102080 is a gapful number since it is divisible by the number (30) 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 31004125102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873996875604).

31004125102080 is an abundant number, since it is smaller than the sum of its proper divisors (84743868649128).

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

31004125102080 is an equidigital number, since it uses as much as digits as its factorization.

31004125102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808749 (or 808716 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 31004125102080 its reverse (8020152140013), we get a palindrome (39024277242093).

The spelling of 31004125102080 in words is "thirty-one trillion, four billion, one hundred twenty-five million, one hundred two thousand, eighty".