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10120112010 = 2325234888943
BaseRepresentation
bin10010110110011010…
…01010011110001010
3222010021202221211100
421123031022132022
5131211222041020
64352113042230
7505533350511
oct113315123612
928107687740
1010120112010
1143235a2a38
121b65256376
13c53853378
146c00ab678
153e36d6a90
hex25b34a78a

10120112010 has 48 divisors (see below), whose sum is σ = 27456309504. Its totient is φ = 2581361376.

The previous prime is 10120112003. The next prime is 10120112011. The reversal of 10120112010 is 1021102101.

It is a happy number.

10120112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10120111983 and 10120112001.

It is not an unprimeable number, because it can be changed into a prime (10120112011) 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, 2442402 + ... + 2446541.

It is an arithmetic number, because the mean of its divisors is an integer number (572006448).

Almost surely, 210120112010 is an apocalyptic number.

10120112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120112010 is an abundant number, since it is smaller than the sum of its proper divisors (17336197494).

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

10120112010 is a wasteful number, since it uses less digits than its factorization.

10120112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888979 (or 4888976 counting only the distinct ones).

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

Adding to 10120112010 its reverse (1021102101), we get a palindrome (11141214111).

Subtracting from 10120112010 its reverse (1021102101), we obtain a palindrome (9099009909).

The spelling of 10120112010 in words is "ten billion, one hundred twenty million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 4888943 9777886 14666829 24444715 29333658 44000487 48889430 73334145 88000974 112445689 146668290 220002435 224891378 337337067 440004870 562228445 674674134 1012011201 1124456890 1686685335 2024022402 3373370670 5060056005 10120112010