Search a number
-
+
122300111124 = 22327346537333
BaseRepresentation
bin111000111100110100…
…1111001100100010100
3102200200022020100210100
41301321221321210110
54000432312023444
6132103415454100
711556465535512
oct1617151714424
9380608210710
10122300111124
114795a251704
121b852087330
13b6c089ac79
145cc2a034b2
1532abd99e69
hex1c79a79914

122300111124 has 36 divisors (see below), whose sum is σ = 313382407156. Its totient is φ = 40208254848.

The previous prime is 122300111123. The next prime is 122300111149. The reversal of 122300111124 is 421111003221.

It can be written as a sum of positive squares in 2 ways, for example, as 89270683524 + 33029427600 = 298782^2 + 181740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 122300111097 and 122300111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23266039 + ... + 23271294.

Almost surely, 2122300111124 is an apocalyptic number.

It is an amenable number.

122300111124 is an abundant number, since it is smaller than the sum of its proper divisors (191082296032).

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

122300111124 is a wasteful number, since it uses less digits than its factorization.

122300111124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46537416 (or 46537411 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122300111124 its reverse (421111003221), we get a palindrome (543411114345).

The spelling of 122300111124 in words is "one hundred twenty-two billion, three hundred million, one hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 46537333 93074666 139611999 186149332 279223998 418835997 558447996 837671994 1675343988 3397225309 6794450618 10191675927 13588901236 20383351854 30575027781 40766703708 61150055562 122300111124