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10301311220 = 2254091259329
BaseRepresentation
bin10011001100000000…
…11000100011110100
3222120220201211102012
421212000120203310
5132044113424340
64422104503352
7513163462214
oct114600304364
928526654365
1010301311220
114406904652
121bb5a7ab58
13c82257035
146da198244
1540457a565
hex2660188f4

10301311220 has 24 divisors (see below), whose sum is σ = 21685662600. Its totient is φ = 4110446592.

The previous prime is 10301311169. The next prime is 10301311243. The reversal of 10301311220 is 2211310301.

It can be written as a sum of positive squares in 4 ways, for example, as 601819024 + 9699492196 = 24532^2 + 98486^2 .

It is a super-2 number, since 2×103013112202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301311195 and 10301311204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621485 + ... + 637844.

It is an arithmetic number, because the mean of its divisors is an integer number (903569275).

Almost surely, 210301311220 is an apocalyptic number.

10301311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301311220 is an abundant number, since it is smaller than the sum of its proper divisors (11384351380).

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

10301311220 is a wasteful number, since it uses less digits than its factorization.

10301311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259747 (or 1259745 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10301311220 its reverse (2211310301), we get a palindrome (12512621521).

The spelling of 10301311220 in words is "ten billion, three hundred one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 1259329 2518658 5037316 6296645 12593290 25186580 515065561 1030131122 2060262244 2575327805 5150655610 10301311220