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22110120022122 = 23211472347894937
BaseRepresentation
bin1010000011011111010011…
…10110011001000001101010
32220021201002021120002101200
411001233221312121001222
510344223011211201442
6115005125433225030
74441255246203066
oct501575166310152
986251067502350
1022110120022122
117054938385370
12259110a562176
13c44c8ab78cc2
145661c7c14aa6
1528520576834c
hex141be9d9906a

22110120022122 has 96 divisors (see below), whose sum is σ = 52292853512640. Its totient is φ = 6695862485760.

The previous prime is 22110120022097. The next prime is 22110120022201. The reversal of 22110120022122 is 22122002101122.

It is a happy number.

22110120022122 is a `hidden beast` number, since 221 + 1 + 0 + 1 + 200 + 221 + 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 = 22110120022095 and 22110120022104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4478450038 + ... + 4478454974.

It is an arithmetic number, because the mean of its divisors is an integer number (544717224090).

Almost surely, 222110120022122 is an apocalyptic number.

22110120022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22110120022122 is an abundant number, since it is smaller than the sum of its proper divisors (30182733490518).

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

22110120022122 is a wasteful number, since it uses less digits than its factorization.

22110120022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22110120022122 its reverse (22122002101122), we get a palindrome (44232122123244).

The spelling of 22110120022122 in words is "twenty-two trillion, one hundred ten billion, one hundred twenty million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4723 4789 4937 9446 9578 9874 14169 14367 14811 28338 28734 29622 42507 43101 44433 51953 52679 54307 85014 86202 88866 103906 105358 108614 155859 158037 162921 311718 316074 325842 467577 474111 488763 935154 948222 977526 22618447 23317451 23643293 45236894 46634902 47286586 67855341 69952353 70929879 135710682 139904706 141859758 203566023 209857059 212789637 248802917 256491961 260076223 407132046 419714118 425579274 497605834 512983922 520152446 746408751 769475883 780228669 1492817502 1538951766 1560457338 2239226253 2308427649 2340686007 4478452506 4616855298 4681372014 111667272839 223334545678 335001818517 670003637034 1005005455551 1228340001229 2010010911102 2456680002458 3685020003687 7370040007374 11055060011061 22110120022122