Search a number
-
+
122112020023 = 7130128334733
BaseRepresentation
bin111000110111001110…
…0011000111000110111
3102200012012022100022021
41301232130120320313
54000041134120043
6132033020214011
711552023021120
oct1615634307067
9380165270267
10122112020023
1147873063014
121b7bb09a307
13b690923366
145ca5a41047
15329a5e43ed
hex1c6e718e37

122112020023 has 16 divisors (see below), whose sum is σ = 139742680896. Its totient is φ = 104527987200.

The previous prime is 122112019987. The next prime is 122112020027. The reversal of 122112020023 is 320020211221.

It is a happy number.

It is not a de Polignac number, because 122112020023 - 233 = 113522085431 is a prime.

It is a super-2 number, since 2×1221120200232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112019979 and 122112020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112020027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25797765 + ... + 25802497.

It is an arithmetic number, because the mean of its divisors is an integer number (8733917556).

Almost surely, 2122112020023 is an apocalyptic number.

122112020023 is a deficient number, since it is larger than the sum of its proper divisors (17630660873).

122112020023 is a wasteful number, since it uses less digits than its factorization.

122112020023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874.

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

Adding to 122112020023 its reverse (320020211221), we get a palindrome (442132231244).

The spelling of 122112020023 in words is "one hundred twenty-two billion, one hundred twelve million, twenty thousand, twenty-three".

Divisors: 1 7 1301 2833 4733 9107 19831 33131 3685733 6157633 13408589 25800131 43103431 93860123 17444574289 122112020023