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10001122124 = 2271111332141
BaseRepresentation
bin10010101000001110…
…10000001101001100
3221210222212122101112
421110013100031030
5130440241401444
64332222431152
7502560064310
oct112407201514
927728778345
1010001122124
114272411094
121b314324b8
13c34cc1156
146ac375b40
153d803069e
hex2541d034c

10001122124 has 24 divisors (see below), whose sum is σ = 20004666528. Its totient is φ = 4285676160.

The previous prime is 10001122123. The next prime is 10001122127. The reversal of 10001122124 is 42122110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10001122099 and 10001122108.

It is not an unprimeable number, because it can be changed into a prime (10001122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295094 + ... + 327234.

It is an arithmetic number, because the mean of its divisors is an integer number (833527772).

Almost surely, 210001122124 is an apocalyptic number.

10001122124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10001122124 is an abundant number, since it is smaller than the sum of its proper divisors (10003544404).

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

10001122124 is a wasteful number, since it uses less digits than its factorization.

10001122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43265 (or 43263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10001122124 its reverse (42122110001), we get a palindrome (52123232125).

The spelling of 10001122124 in words is "ten billion, one million, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 11113 22226 32141 44452 64282 77791 128564 155582 224987 311164 449974 899948 357182933 714365866 1428731732 2500280531 5000561062 10001122124