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122102210022 = 23137339115483
BaseRepresentation
bin111000110110111011…
…0111101110111100110
3102200011111211221111220
41301231312331313212
54000031131210042
6132032030041210
711551543442412
oct1615566756746
9380144757456
10122102210022
1147868572681
121b7b7949206
13b68b89a120
145ca4609d42
1532998078ec
hex1c6ddbdde6

122102210022 has 64 divisors (see below), whose sum is σ = 266708768256. Its totient is φ = 37039023360.

The previous prime is 122102210011. The next prime is 122102210023. The reversal of 122102210022 is 220012201221.

It is a junction number, because it is equal to n+sod(n) for n = 122102209983 and 122102210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102210023) 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, 22266493 + ... + 22271975.

It is an arithmetic number, because the mean of its divisors is an integer number (4167324504).

Almost surely, 2122102210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133354384128).

122102210022 is an abundant number, since it is smaller than the sum of its proper divisors (144606558234).

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

122102210022 is a wasteful number, since it uses less digits than its factorization.

122102210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102210022 its reverse (220012201221), we get a palindrome (342114411243).

The spelling of 122102210022 in words is "one hundred twenty-two billion, one hundred two million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1898 2847 3911 5483 5694 7822 10966 11733 16449 23466 32898 50843 71279 101686 142558 152529 213837 285503 305058 400259 427674 571006 800518 856509 1200777 1713018 2401554 3711539 5203367 7423078 10406734 11134617 15610101 21444013 22269234 31220202 42888026 64332039 128664078 278772169 557544338 836316507 1565412949 1672633014 3130825898 4696238847 9392477694 20350368337 40700736674 61051105011 122102210022