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122011102213 = 71113235299531
BaseRepresentation
bin111000110100001101…
…1011010110000000101
3102122221011102012002121
41301220123122300011
53444334320232323
6132015013205541
711546356154110
oct1615033326005
9378834365077
10122011102213
11478210a4a70
121b7913308b1
13b675a4ab90
145c96491577
15329180ca5d
hex1c686dac05

122011102213 has 32 divisors (see below), whose sum is σ = 170941704192. Its totient is φ = 83944555200.

The previous prime is 122011102201. The next prime is 122011102231. The reversal of 122011102213 is 312201110221.

It is not a de Polignac number, because 122011102213 - 213 = 122011094021 is a prime.

It is a super-2 number, since 2×1220111022132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626743 + ... + 2672788.

It is an arithmetic number, because the mean of its divisors is an integer number (5341928256).

Almost surely, 2122011102213 is an apocalyptic number.

122011102213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122011102213 is a deficient number, since it is larger than the sum of its proper divisors (48930601979).

122011102213 is a wasteful number, since it uses less digits than its factorization.

122011102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299585.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122011102213 its reverse (312201110221), we get a palindrome (434212212434).

It can be divided in two parts, 12201110221 and 3, that multiplied together give a palindrome (36603330663).

The spelling of 122011102213 in words is "one hundred twenty-two billion, eleven million, one hundred two thousand, two hundred thirteen".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 23023 5299531 37096717 58294841 68893903 121889213 408063887 482257321 757832933 853224491 1340781343 1584559769 5304830531 9385469401 11091918383 17430157459 122011102213