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10302314112 = 27328942981
BaseRepresentation
bin10011001100001000…
…01101011010000000
3222120222121210010100
421212010031122000
5132044343022422
64422142202400
7513205140126
oct114604153200
928528553110
1010302314112
11440742a092
121bb6283400
13c8251866c
146da379916
154046c77ac
hex26610d680

10302314112 has 48 divisors (see below), whose sum is σ = 29645985330. Its totient is φ = 3434104320.

The previous prime is 10302314093. The next prime is 10302314117. The reversal of 10302314112 is 21141320301.

It can be written as a sum of positive squares in only one way, i.e., 10301438016 + 876096 = 101496^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103023141122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10302314117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4470339 + ... + 4472642.

Almost surely, 210302314112 is an apocalyptic number.

10302314112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10302314112 is an abundant number, since it is smaller than the sum of its proper divisors (19343671218).

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

10302314112 is an equidigital number, since it uses as much as digits as its factorization.

10302314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8943001 (or 8942986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10302314112 its reverse (21141320301), we get a palindrome (31443634413).

The spelling of 10302314112 in words is "ten billion, three hundred two million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8942981 17885962 26828943 35771924 53657886 71543848 80486829 107315772 143087696 160973658 214631544 286175392 321947316 429263088 572350784 643894632 858526176 1144701568 1287789264 1717052352 2575578528 3434104704 5151157056 10302314112