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211112221002122 = 2116110115110314841
BaseRepresentation
bin110000000000000101100100…
…111100001100100110001010
31000200111010112122220022101202
4300000011210330030212022
5210132330312034031442
62024555340534344202
762316232432342346
oct6000054474144612
91020433478808352
10211112221002122
11612a3210087110
121b816b677bb062
1390a4a49085a6b
143a1bc59326626
1519617a780ac32
hexc00164f0c98a

211112221002122 has 64 divisors (see below), whose sum is σ = 356944364741376. Its totient is φ = 92833560000000.

The previous prime is 211112221002103. The next prime is 211112221002127. The reversal of 211112221002122 is 221200122211112.

It is a junction number, because it is equal to n+sod(n) for n = 211112221002094 and 211112221002103.

It is not an unprimeable number, because it can be changed into a prime (211112221002127) 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, 15309422 + ... + 25624262.

It is an arithmetic number, because the mean of its divisors is an integer number (5577255699084).

Almost surely, 2211112221002122 is an apocalyptic number.

211112221002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211112221002122 is a deficient number, since it is larger than the sum of its proper divisors (145832143739254).

211112221002122 is a wasteful number, since it uses less digits than its factorization.

211112221002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315167.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211112221002122 its reverse (221200122211112), we get a palindrome (432312343213234).

The spelling of 211112221002122 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 61 101 122 151 202 302 671 1111 1342 1661 2222 3322 6161 9211 12322 15251 18422 30502 67771 101321 135542 167761 202642 335522 930311 1860622 10233421 10314841 20466842 20629682 113463251 226926502 629205301 1041798941 1258410602 1557540991 2083597882 3115081982 6921258311 11459788351 13842516622 17132950901 22919576702 34265901802 63549735401 95010000451 127099470802 157311640091 190020000902 314623280182 699047089411 1045110004961 1398094178822 1730428041001 2090220009922 3460856082002 9596010045551 19192020091102 105556110501061 211112221002122