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122103100022123 = 111731203471035197
BaseRepresentation
bin11011110000110101010111…
…111001110001110101101011
3121000022221102222111200001102
4123300311113321301311223
5112001014122101201443
61111405220105112015
734501441434340133
oct3360652771616553
9530287388450042
10122103100022123
11359a66a7817650
121184049518860b
13531937180589c
142221b70581ac3
15e1b2adabccb8
hex6f0d57e71d6b

122103100022123 has 32 divisors (see below), whose sum is σ = 145595811944448. Its totient is φ = 101098069516800.

The previous prime is 122103100022119. The next prime is 122103100022147. The reversal of 122103100022123 is 321220001301221.

It is a cyclic number.

It is not a de Polignac number, because 122103100022123 - 22 = 122103100022119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122103100022095 and 122103100022104.

It is not an unprimeable number, because it can be changed into a prime (122103100028123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117433961 + ... + 118469157.

It is an arithmetic number, because the mean of its divisors is an integer number (4549869123264).

Almost surely, 2122103100022123 is an apocalyptic number.

122103100022123 is a deficient number, since it is larger than the sum of its proper divisors (23492711922325).

122103100022123 is a wasteful number, since it uses less digits than its factorization.

122103100022123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055603.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122103100022123 its reverse (321220001301221), we get a palindrome (443323101323344).

The spelling of 122103100022123 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred million, twenty-two thousand, one hundred twenty-three".

Divisors: 1 11 17 31 187 341 527 5797 20347 223817 345899 630757 1035197 3804889 6938327 10722869 11387167 17598349 32091107 117951559 193581839 353002177 545548819 6001037009 21063153359 231694686949 358073607103 652957754129 3938809678133 7182535295419 11100281820193 122103100022123