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10110020112 = 243293774929
BaseRepresentation
bin10010110101001101…
…01010101000010000
3222002120210020100100
421122212222220100
5131201131120422
64351112452400
7505351516203
oct113246525020
928076706310
1010110020112
11431892a825
121b619aa100
13c5172ba2a
146bca0193a
153e28917ac
hex25a9aaa10

10110020112 has 60 divisors (see below), whose sum is σ = 28324589020. Its totient is φ = 3366365184.

The previous prime is 10110020077. The next prime is 10110020143. The reversal of 10110020112 is 21102001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5485476096 + 4624544016 = 74064^2 + 68004^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110020094 and 10110020103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97464 + ... + 172392.

Almost surely, 210110020112 is an apocalyptic number.

10110020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110020112 is an abundant number, since it is smaller than the sum of its proper divisors (18214568908).

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

10110020112 is a wasteful number, since it uses less digits than its factorization.

10110020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75880 (or 75871 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110020112 its reverse (21102001101), we get a palindrome (31212021213).

The spelling of 10110020112 in words is "ten billion, one hundred ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 33732 44976 67464 74929 134928 149858 224787 299716 449574 599432 674361 899148 1198864 1348722 1798296 2697444 3596592 5394888 10789776 70208473 140416946 210625419 280833892 421250838 561667784 631876257 842501676 1123335568 1263752514 1685003352 2527505028 3370006704 5055010056 10110020112