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122100332211331 = 4363182231535719
BaseRepresentation
bin11011110000110010110010…
…111011011010110010000011
3121000022200022002101022102121
4123300302302323122302003
5112000442440021230311
61111404041313225111
734501313025335665
oct3360626273326203
9530280262338377
10122100332211331
11359a5507425411
121183ba42262197
135319020268c16
14222198ab3a535
15e1b19aae0b71
hex6f0cb2edac83

122100332211331 has 8 divisors (see below), whose sum is σ = 122135099025920. Its totient is φ = 122065568513352.

The previous prime is 122100332211313. The next prime is 122100332211359. The reversal of 122100332211331 is 133112233001221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122100332211331 - 29 = 122100332210819 is a prime.

It is a super-2 number, since 2×1221003322113312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100332211296 and 122100332211305.

It is not an unprimeable number, because it can be changed into a prime (122100332211311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78739090 + ... + 80274808.

It is an arithmetic number, because the mean of its divisors is an integer number (15266887378240).

Almost surely, 2122100332211331 is an apocalyptic number.

122100332211331 is a deficient number, since it is larger than the sum of its proper divisors (34766814589).

122100332211331 is a wasteful number, since it uses less digits than its factorization.

122100332211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558305.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 122100332211331 its reverse (133112233001221), we get a palindrome (255212565212552).

The spelling of 122100332211331 in words is "one hundred twenty-two trillion, one hundred billion, three hundred thirty-two million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 4363 18223 1535719 79506949 6700341997 27985407337 122100332211331