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22011121222100 = 2252424151900781
BaseRepresentation
bin1010000000100110111010…
…00011111100000111010100
32212221020112212211222022122
411000103131003330013110
510341112234013101400
6114451434113315112
74431152050244003
oct500233503740724
985836485758278
1022011121222100
11701695611266a
122575a9bb65a98
13c388419069aa
145614b5b34c3a
1528285e39a685
hex1404dd0fc1d4

22011121222100 has 36 divisors (see below), whose sum is σ = 47775396441948. Its totient is φ = 8802372288000.

The previous prime is 22011121222067. The next prime is 22011121222133. The reversal of 22011121222100 is 122212111022.

It is an interprime number because it is at equal distance from previous prime (22011121222067) and next prime (22011121222133).

It can be written as a sum of positive squares in 6 ways, for example, as 95671438864 + 21915449783236 = 309308^2 + 4681394^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25526291 + ... + 26374490.

Almost surely, 222011121222100 is an apocalyptic number.

22011121222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011121222100 is an abundant number, since it is smaller than the sum of its proper divisors (25764275219848).

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

22011121222100 is a wasteful number, since it uses less digits than its factorization.

22011121222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51905036 (or 51905029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22011121222100 its reverse (122212111022), we get a palindrome (22133333333122).

The spelling of 22011121222100 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4241 8482 16964 21205 42410 84820 106025 212050 424100 51900781 103801562 207603124 259503905 519007810 1038015620 1297519525 2595039050 5190078100 220111212221 440222424442 880444848884 1100556061105 2201112122210 4402224244420 5502780305525 11005560611050 22011121222100