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22120111000101 = 38310112733720551
BaseRepresentation
bin1010000011110001111010…
…10110111100101000100101
32220022122212120100100122010
411001320331112330220211
510344403441404000401
6115013501054424433
74442060654130552
oct501707526745045
986278776310563
1022120111000101
1170590a4a97a64
122593038502119
13c45bc0a27aaa
14566894aa9a29
152855dc942ed6
hex141e3d5bca25

22120111000101 has 64 divisors (see below), whose sum is σ = 30473350742016. Its totient is φ = 14268078720000.

The previous prime is 22120111000049. The next prime is 22120111000109. The reversal of 22120111000101 is 10100011102122.

It is not a de Polignac number, because 22120111000101 - 233 = 22111521065509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120111000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1076341776 + ... + 1076362326.

It is an arithmetic number, because the mean of its divisors is an integer number (476146105344).

Almost surely, 222120111000101 is an apocalyptic number.

It is an amenable number.

22120111000101 is a deficient number, since it is larger than the sum of its proper divisors (8353239741915).

22120111000101 is a wasteful number, since it uses less digits than its factorization.

22120111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22120111000101 its reverse (10100011102122), we get a palindrome (32220122102223).

The spelling of 22120111000101 in words is "twenty-two trillion, one hundred twenty billion, one hundred eleven million, one hundred one", and thus it is an aban number.

Divisors: 1 3 83 101 127 249 303 337 381 1011 8383 10541 12827 20551 25149 27971 31623 34037 38481 42799 61653 83913 102111 128397 1064641 1705733 2075651 2609977 2825071 3193923 3552317 4322699 5117199 6226953 6925687 7829931 8475213 10656951 12968097 20777061 172279033 216628091 263607677 358784017 516837099 574832021 649884273 699494387 790823031 879562249 1076352051 1724496063 2098483161 2638686747 21879437191 58058034121 65638311573 73003666667 88835787149 174174102363 219011000001 266507361447 7373370333367 22120111000101