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10402111224 = 2332144473767
BaseRepresentation
bin10011011000000001…
…11001111011111000
3222211221102000000200
421230000321323320
5132300420024344
64440105202200
7515526325611
oct115400717370
928757360020
1010402111224
1144587a213a
122023790360
13c9a0ba9cb
14709716c08
1540d33c069
hex26c039ef8

10402111224 has 24 divisors (see below), whose sum is σ = 28172384760. Its totient is φ = 3467370384.

The previous prime is 10402111211. The next prime is 10402111229. The reversal of 10402111224 is 42211120401.

10402111224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10402111197 and 10402111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402111229) 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 5 ways as a sum of consecutive naturals, for example, 72236812 + ... + 72236955.

It is an arithmetic number, because the mean of its divisors is an integer number (1173849365).

Almost surely, 210402111224 is an apocalyptic number.

It is an amenable number.

10402111224 is an abundant number, since it is smaller than the sum of its proper divisors (17770273536).

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

10402111224 is a wasteful number, since it uses less digits than its factorization.

10402111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144473779 (or 144473772 counting only the distinct ones).

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

Adding to 10402111224 its reverse (42211120401), we get a palindrome (52613231625).

The spelling of 10402111224 in words is "ten billion, four hundred two million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 144473767 288947534 433421301 577895068 866842602 1155790136 1300263903 1733685204 2600527806 3467370408 5201055612 10402111224