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121012010010 = 23251779092817
BaseRepresentation
bin111000010110011100…
…0001011110000011010
3102120100112110001020200
41300230320023300122
53440313033310020
6131331523203030
711512535053623
oct1605470136032
9376315401220
10121012010010
1147359141231
121b552816476
13b546a6ac68
145bdd8dca4a
153233c5a590
hex1c2ce0bc1a

121012010010 has 48 divisors (see below), whose sum is σ = 333138949416. Its totient is φ = 30371641344.

The previous prime is 121012009973. The next prime is 121012010017. The reversal of 121012010010 is 10010210121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101435243121 + 19576766889 = 318489^2 + 139917^2 .

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 = 121012009974 and 121012010001.

It is not an unprimeable number, because it can be changed into a prime (121012010017) 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 23 ways as a sum of consecutive naturals, for example, 39544879 + ... + 39547938.

Almost surely, 2121012010010 is an apocalyptic number.

121012010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121012010010 is an abundant number, since it is smaller than the sum of its proper divisors (212126939406).

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

121012010010 is a wasteful number, since it uses less digits than its factorization.

121012010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79092847 (or 79092844 counting only the distinct ones).

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

Adding to 121012010010 its reverse (10010210121), we get a palindrome (131022220131).

The spelling of 121012010010 in words is "one hundred twenty-one billion, twelve million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 79092817 158185634 237278451 395464085 474556902 711835353 790928170 1186392255 1344577889 1423670706 2372784510 2689155778 3559176765 4033733667 6722889445 7118353530 8067467334 12101201001 13445778890 20168668335 24202402002 40337336670 60506005005 121012010010