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102102201111123 = 323132383330211
BaseRepresentation
bin10111001101110010000101…
…011011011001001001010011
3111101111212121221120202022200
4113031302011123121021103
5101340320301441023443
61001053034220134243
730335432503563363
oct2715620533311123
9441455557522280
10102102201111123
112a595333801464
12b550110697383
1344c827221a065
141b2dab6bac9a3
15bc0da4d72dd3
hex5cdc856d9253

102102201111123 has 36 divisors (see below), whose sum is σ = 147997146292632. Its totient is φ = 67830716977920.

The previous prime is 102102201111121. The next prime is 102102201111133. The reversal of 102102201111123 is 321111102201201.

It is a happy number.

102102201111123 is a `hidden beast` number, since 1 + 0 + 210 + 220 + 1 + 111 + 123 = 666.

It is not a de Polignac number, because 102102201111123 - 21 = 102102201111121 is a prime.

It is a super-2 number, since 2×1021022011111232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102201111096 and 102102201111105.

It is not an unprimeable number, because it can be changed into a prime (102102201111121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3379621488 + ... + 3379651698.

It is an arithmetic number, because the mean of its divisors is an integer number (4111031841462).

Almost surely, 2102102201111123 is an apocalyptic number.

102102201111123 is a deficient number, since it is larger than the sum of its proper divisors (45894945181509).

102102201111123 is an equidigital number, since it uses as much as digits as its factorization.

102102201111123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34676 (or 34360 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102102201111123 its reverse (321111102201201), we get a palindrome (423213303312324).

The spelling of 102102201111123 in words is "one hundred two trillion, one hundred two billion, two hundred one million, one hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 313 939 2817 3833 11499 30211 34497 90633 97969 271899 293907 881721 1199729 3599187 9456043 10797561 28368129 85104387 115798763 347396289 375515177 1042188867 1126545531 2959741459 3379636593 8879224377 26637673131 36245012819 108735038457 326205115371 11344689012347 34034067037041 102102201111123