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122102111121 = 31571794093541
BaseRepresentation
bin111000110110111011…
…0100101101110010001
3102200011111122220211220
41301231312211232101
54000031120023441
6132032023555253
711551542551154
oct1615566455621
9380144586756
10122102111121
1147868505341
121b7b78bbb29
13b68b8640c3
145ca45c1c9b
1532997d8466
hex1c6dda5b91

122102111121 has 32 divisors (see below), whose sum is σ = 165204547200. Its totient is φ = 80211755520.

The previous prime is 122102111039. The next prime is 122102111161. The reversal of 122102111121 is 121111201221.

It is a happy number.

It is not a de Polignac number, because 122102111121 - 218 = 122101848977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122102111121.

It is not an unprimeable number, because it can be changed into a prime (122102111161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34480611 + ... + 34484151.

It is an arithmetic number, because the mean of its divisors is an integer number (5162642100).

Almost surely, 2122102111121 is an apocalyptic number.

It is an amenable number.

122102111121 is a deficient number, since it is larger than the sum of its proper divisors (43102436079).

122102111121 is a wasteful number, since it uses less digits than its factorization.

122102111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122102111121 its reverse (121111201221), we get a palindrome (243213312342).

The spelling of 122102111121 in words is "one hundred twenty-two billion, one hundred two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 157 179 409 471 537 1227 3541 10623 28103 64213 73211 84309 192639 219633 555937 633839 1448269 1667811 1901517 4344807 11494127 34482381 99512723 227378233 259240151 298538169 682134699 777720453 40700703707 122102111121