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20111221220022 = 2339715724455317
BaseRepresentation
bin1001001001010100000100…
…01100100110001010110110
32122012121120120210212222000
410210222002030212022312
510114000240113020042
6110434544550520130
74143662544550362
oct444520214461266
978177516725860
1020111221220022
116454137097899
122309833366046
13b2b6317c492a
144d75616d62a2
1524d2142ab74c
hex124a823262b6

20111221220022 has 64 divisors (see below), whose sum is σ = 45439937269440. Its totient is φ = 6592370623488.

The previous prime is 20111221220009. The next prime is 20111221220023. The reversal of 20111221220022 is 22002212211102.

It is a happy number.

20111221220022 is a `hidden beast` number, since 201 + 1 + 1 + 221 + 220 + 0 + 22 = 666.

It is a super-2 number, since 2×201112212200222 (a number of 27 digits) contains 22 as substring.

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 = 20111221219977 and 20111221220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111221220023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11405293 + ... + 13050024.

It is an arithmetic number, because the mean of its divisors is an integer number (709999019835).

Almost surely, 220111221220022 is an apocalyptic number.

20111221220022 is an abundant number, since it is smaller than the sum of its proper divisors (25328716049418).

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

20111221220022 is a wasteful number, since it uses less digits than its factorization.

20111221220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24455582 (or 24455576 counting only the distinct ones).

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

Adding to 20111221220022 its reverse (22002212211102), we get a palindrome (42113433431124).

The spelling of 20111221220022 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 97 157 194 291 314 471 582 873 942 1413 1746 2619 2826 4239 5238 8478 15229 30458 45687 91374 137061 274122 411183 822366 24455317 48910634 73365951 146731902 220097853 440195706 660293559 1320587118 2372165749 3839484769 4744331498 7116497247 7678969538 11518454307 14232994494 21349491741 23036908614 34555362921 42698983482 64048475223 69110725842 103666088763 128096950446 207332177526 372430022593 744860045186 1117290067779 2234580135558 3351870203337 6703740406674 10055610610011 20111221220022