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211112121110022 = 232117347114512159
BaseRepresentation
bin110000000000000101011110…
…111111001000111000000110
31000200111010021200221021012100
4300000011132333020320012
5210132330111001010042
62024555323005332530
762316230110306626
oct6000053677107006
91020433250837170
10211112121110022
11612a3169759760
121b816b3a267146
1390a4a3147c402
143a1bc49d62886
15196179db7824c
hexc0015efc8e06

211112121110022 has 48 divisors (see below), whose sum is σ = 498999112335360. Its totient is φ = 63972494895600.

The previous prime is 211112121110017. The next prime is 211112121110141. The reversal of 211112121110022 is 220011121211112.

It is a happy number.

211112121110022 is a `hidden beast` number, since 211 + 1 + 121 + 211 + 100 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211112121109977 and 211112121110004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7291179 + ... + 21803337.

It is an arithmetic number, because the mean of its divisors is an integer number (10395814840320).

Almost surely, 2211112121110022 is an apocalyptic number.

211112121110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211112121110022 is an abundant number, since it is smaller than the sum of its proper divisors (287886991225338).

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

211112121110022 is a wasteful number, since it uses less digits than its factorization.

211112121110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14585649 (or 14585646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211112121110022 its reverse (220011121211112), we get a palindrome (431123242321134).

The spelling of 211112121110022 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 73471 146942 220413 440826 661239 808181 1322478 1616362 2424543 4849086 7273629 14512159 14547258 29024318 43536477 87072954 130609431 159633749 261218862 319267498 478901247 957802494 1436703741 2873407482 1066222833889 2132445667778 3198668501667 6397337003334 9596005505001 11728451172779 19192011010002 23456902345558 35185353518337 70370707036674 105556060555011 211112121110022