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10122011310 = 2351719847081
BaseRepresentation
bin10010110110101000…
…11010001010101110
3222010102100110011210
421123110122022232
5131212213330220
64352221455250
7505555451025
oct113324321256
928112313153
1010122011310
11432467aa04
121b65a11526
13c54069a08
146c04438bc
153e395e6e0
hex25b51a2ae

10122011310 has 32 divisors (see below), whose sum is σ = 25721818272. Its totient is φ = 2540426240.

The previous prime is 10122011279. The next prime is 10122011323. The reversal of 10122011310 is 1311022101.

10122011310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101220113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9923031 + ... + 9924050.

It is an arithmetic number, because the mean of its divisors is an integer number (803806821).

Almost surely, 210122011310 is an apocalyptic number.

10122011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122011310 is an abundant number, since it is smaller than the sum of its proper divisors (15599806962).

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

10122011310 is a wasteful number, since it uses less digits than its factorization.

10122011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19847108.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10122011310 its reverse (1311022101), we get a palindrome (11433033411).

The spelling of 10122011310 in words is "ten billion, one hundred twenty-two million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 19847081 39694162 59541243 99235405 119082486 198470810 297706215 337400377 595412430 674800754 1012201131 1687001885 2024402262 3374003770 5061005655 10122011310