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10122312340 = 225772302231
BaseRepresentation
bin10010110110101011…
…00011101010010100
3222010102220202010001
421123111203222110
5131212302443330
64352232141044
7505561143460
oct113325435224
928112822101
1010122312340
114324866098
121b65b37784
13c54143a3a
146c04c14a0
153e39bd9ca
hex25b563a94

10122312340 has 24 divisors (see below), whose sum is σ = 24293549952. Its totient is φ = 3470507040.

The previous prime is 10122312311. The next prime is 10122312341. The reversal of 10122312340 is 4321322101.

It is a happy number.

10122312340 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 2×101223123402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122312341) 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, 36150976 + ... + 36151255.

It is an arithmetic number, because the mean of its divisors is an integer number (1012231248).

Almost surely, 210122312340 is an apocalyptic number.

10122312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122312340 is an abundant number, since it is smaller than the sum of its proper divisors (14171237612).

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

10122312340 is a wasteful number, since it uses less digits than its factorization.

10122312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72302247 (or 72302245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10122312340 its reverse (4321322101), we get a palindrome (14443634441).

The spelling of 10122312340 in words is "ten billion, one hundred twenty-two million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72302231 144604462 289208924 361511155 506115617 723022310 1012231234 1446044620 2024462468 2530578085 5061156170 10122312340