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10102222123 = 7293113911549
BaseRepresentation
bin10010110100010001…
…11010110100101011
3222002001010001111221
421122020322310223
5131142132101443
64350233402511
7505225320430
oct113210726453
928061101457
1010102222123
114314494004
121b5b269437
13c4cc2b536
146bb971b87
153e1d50eed
hex25a23ad2b

10102222123 has 32 divisors (see below), whose sum is σ = 12418560000. Its totient is φ = 8031864960.

The previous prime is 10102222121. The next prime is 10102222153. The reversal of 10102222123 is 32122220101.

It is a happy number.

10102222123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102222123 - 21 = 10102222121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102222097 and 10102222106.

It is not an unprimeable number, because it can be changed into a prime (10102222121) 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 31 ways as a sum of consecutive naturals, for example, 868953 + ... + 880501.

It is an arithmetic number, because the mean of its divisors is an integer number (388080000).

Almost surely, 210102222123 is an apocalyptic number.

10102222123 is a deficient number, since it is larger than the sum of its proper divisors (2316337877).

10102222123 is a wasteful number, since it uses less digits than its factorization.

10102222123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11755.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10102222123 its reverse (32122220101), we get a palindrome (42224442224).

The spelling of 10102222123 in words is "ten billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 7 29 31 139 203 217 899 973 4031 4309 6293 11549 28217 30163 80843 124961 334921 358019 874727 1605311 2344447 2506133 10382551 11237177 46554019 49764641 72677857 325878133 348352487 1443174589 10102222123