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10122142041 = 3211313298189
BaseRepresentation
bin10010110110101001…
…11010000101011001
3222010102121002111200
421123110322011121
5131212232021131
64352224344413
7505556534124
oct113324720531
928112532450
1010122142041
11432475a150
121b65a75109
13c540b437b
146c04793bb
153e39882e6
hex25b53a159

10122142041 has 24 divisors (see below), whose sum is σ = 16464564480. Its totient is φ = 5936738400.

The previous prime is 10122142039. The next prime is 10122142067. The reversal of 10122142041 is 14024122101.

10122142041 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122142041 - 21 = 10122142039 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10122142001) 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, 1646026 + ... + 1652163.

It is an arithmetic number, because the mean of its divisors is an integer number (686023520).

Almost surely, 210122142041 is an apocalyptic number.

10122142041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122142041 is a deficient number, since it is larger than the sum of its proper divisors (6342422439).

10122142041 is a wasteful number, since it uses less digits than its factorization.

10122142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298237 (or 3298234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122142041 its reverse (14024122101), we get a palindrome (24146264142).

The spelling of 10122142041 in words is "ten billion, one hundred twenty-two million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 3298189 9894567 29683701 36280079 102243859 108840237 306731577 326520711 920194731 1124682449 3374047347 10122142041