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31553221024 = 2513661114749
BaseRepresentation
bin11101011000101101…
…111111000110100000
310000102222221201001201
4131120231333012200
51004110111033044
622254555010544
72164626645013
oct353055770640
9100388851051
1031553221024
1112421a74a76
126147139a54
132c8b0cc8b0
14175484337a
15c4a1877d4
hex758b7f1a0

31553221024 has 48 divisors (see below), whose sum is σ = 67000689000. Its totient is φ = 14540866560.

The previous prime is 31553221001. The next prime is 31553221027. The reversal of 31553221024 is 42012235513.

It can be written as a sum of positive squares in 4 ways, for example, as 22539617424 + 9013603600 = 150132^2 + 94940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31553220983 and 31553221001.

It is not an unprimeable number, because it can be changed into a prime (31553221027) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 217602 + ... + 332350.

Almost surely, 231553221024 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 31553221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33500344500).

31553221024 is an abundant number, since it is smaller than the sum of its proper divisors (35447467976).

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

31553221024 is a wasteful number, since it uses less digits than its factorization.

31553221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115433 (or 115425 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 31553221024 its reverse (42012235513), we get a palindrome (73565456537).

The spelling of 31553221024 in words is "thirty-one billion, five hundred fifty-three million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 661 1322 2644 5288 8593 10576 17186 21152 34372 68744 114749 137488 229498 274976 458996 917992 1491737 1835984 2983474 3671968 5966948 11933896 23867792 47735584 75849089 151698178 303396356 606792712 986038157 1213585424 1972076314 2427170848 3944152628 7888305256 15776610512 31553221024