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10103412012 = 2232110139901
BaseRepresentation
bin10010110100011010…
…11101010100101100
3222002010100111201220
421122031131110230
5131142433141022
64350315103340
7505241404461
oct113215352454
928063314656
1010103412012
114315126a91
121b5b741b50
13c50257005
146bbba1668
153e1ed885c
hex25a35d52c

10103412012 has 24 divisors (see below), whose sum is σ = 23576336112. Its totient is φ = 3367560000.

The previous prime is 10103411999. The next prime is 10103412019. The reversal of 10103412012 is 21021430101.

10103412012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10103411982 and 10103412000.

It is not an unprimeable number, because it can be changed into a prime (10103412019) 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 7 ways as a sum of consecutive naturals, for example, 233262 + ... + 273162.

It is an arithmetic number, because the mean of its divisors is an integer number (982347338).

Almost surely, 210103412012 is an apocalyptic number.

10103412012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103412012 is an abundant number, since it is smaller than the sum of its proper divisors (13472924100).

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

10103412012 is a wasteful number, since it uses less digits than its factorization.

10103412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61009 (or 61007 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10103412012 its reverse (21021430101), we get a palindrome (31124842113).

The spelling of 10103412012 in words is "ten billion, one hundred three million, four hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 21101 39901 42202 63303 79802 84404 119703 126606 159604 239406 253212 478812 841951001 1683902002 2525853003 3367804004 5051706006 10103412012