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20111101022112 = 2531109544934667
BaseRepresentation
bin1001001001010011110110…
…00010000100111110100000
32122012121021012122012102120
410210221323002010332200
510114000013330201422
6110434525014344240
74143656555103222
oct444517302047640
978177235565376
1020111101022112
116454085260381
1223097bb05b080
13b2b61292b8c9
144d754d768412
1524d20896745c
hex124a7b084fa0

20111101022112 has 96 divisors (see below), whose sum is σ = 52850464632000. Its totient is φ = 6696233207808.

The previous prime is 20111101022081. The next prime is 20111101022141. The reversal of 20111101022112 is 21122010111102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201111010221122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111101022091 and 20111101022100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580105003 + ... + 580139669.

It is an arithmetic number, because the mean of its divisors is an integer number (550525673250).

Almost surely, 220111101022112 is an apocalyptic number.

It is an amenable number.

20111101022112 is an abundant number, since it is smaller than the sum of its proper divisors (32739363609888).

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

20111101022112 is a wasteful number, since it uses less digits than its factorization.

20111101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41238 (or 41230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20111101022112 its reverse (21122010111102), we get a palindrome (41233111133214).

The spelling of 20111101022112 in words is "twenty trillion, one hundred eleven billion, one hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1109 2218 3327 4436 5449 6654 8872 10898 13308 16347 17744 21796 26616 32694 34667 35488 43592 53232 65388 69334 87184 104001 106464 130776 138668 174368 208002 261552 277336 416004 523104 554672 832008 1109344 1664016 3328032 6042941 12085882 18128823 24171764 36257646 38445703 48343528 72515292 76891406 96687056 115337109 145030584 153782812 188900483 193374112 230674218 290061168 307565624 377800966 461348436 566701449 580122336 615131248 755601932 922696872 1133402898 1230262496 1511203864 1845393744 2266805796 3022407728 3690787488 4533611592 6044815456 9067223184 18134446368 209490635647 418981271294 628471906941 837962542588 1256943813882 1675925085176 2513887627764 3351850170352 5027775255528 6703700340704 10055550511056 20111101022112