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22022101201100 = 225271113997220663
BaseRepresentation
bin1010000000111011010111…
…00001001111000011001100
32212222021220002121200220112
411000131223201033003030
510341302230401413400
6114500451424335152
74432021124442410
oct500355341170314
985867802550815
1022022101201100
117020580016380
1225780451744b8
13c398a16414a0
14561c380b2d40
15282ca32d2835
hex14076b84f0cc

22022101201100 has 288 divisors, whose sum is σ = 64227501843456. Its totient is φ = 6329645337600.

The previous prime is 22022101201049. The next prime is 22022101201109. The reversal of 22022101201100 is 110210122022.

It is a super-2 number, since 2×220221012011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22022101201109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99689369 + ... + 99910031.

Almost surely, 222022101201100 is an apocalyptic number.

22022101201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022101201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32113750921728).

22022101201100 is an abundant number, since it is smaller than the sum of its proper divisors (42205400642356).

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

22022101201100 is a wasteful number, since it uses less digits than its factorization.

22022101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221705 (or 221698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22022101201100 its reverse (110210122022), we get a palindrome (22132311323122).

The spelling of 22022101201100 in words is "twenty-two trillion, twenty-two billion, one hundred one million, two hundred one thousand, one hundred".