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31453241220 = 22345173373389
BaseRepresentation
bin11101010010110000…
…100101111110000100
310000012000211012120000
4131102300211332010
51003404012204340
622241024041300
72162304065502
oct352260457604
9100160735500
1031453241220
1112380597735
126119763230
132c7349534b
141745459672
15c414d8d30
hex752c25f84

31453241220 has 240 divisors, whose sum is σ = 104815030320. Its totient is φ = 7868399616.

The previous prime is 31453241201. The next prime is 31453241227. The reversal of 31453241220 is 2214235413.

31453241220 is a `hidden beast` number, since 3 + 1 + 4 + 532 + 4 + 122 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2138322564 + 29314918656 = 46242^2 + 171216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31453241227) 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 79 ways as a sum of consecutive naturals, for example, 9279286 + ... + 9282674.

It is an arithmetic number, because the mean of its divisors is an integer number (436729293).

Almost surely, 231453241220 is an apocalyptic number.

31453241220 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 31453241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52407515160).

31453241220 is an abundant number, since it is smaller than the sum of its proper divisors (73361789100).

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

31453241220 is a wasteful number, since it uses less digits than its factorization.

31453241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31453241220 its reverse (2214235413), we get a palindrome (33667476633).

The spelling of 31453241220 in words is "thirty-one billion, four hundred fifty-three million, two hundred forty-one thousand, two hundred twenty".