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10022112111000 = 23353117313730367
BaseRepresentation
bin1001000111010111010001…
…1011101010100110011000
31022111002211020001212200110
42101311310123222212120
52303200241200023000
633152032244204320
72053034165236233
oct221656433524630
938432736055613
1010022112111000
113214399013320
12115a4290996a0
135791092a1682
14269103b3441a
15125a71319850
hex91d746ea998

10022112111000 has 512 divisors, whose sum is σ = 34832455557120. Its totient is φ = 2378750976000.

The previous prime is 10022112110999. The next prime is 10022112111007. The reversal of 10022112111000 is 11121122001.

10022112111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022112111007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 330017817 + ... + 330048183.

It is an arithmetic number, because the mean of its divisors is an integer number (68032139760).

Almost surely, 210022112111000 is an apocalyptic number.

10022112111000 is a gapful number since it is divisible by the number (10) 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 10022112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416227778560).

10022112111000 is an abundant number, since it is smaller than the sum of its proper divisors (24810343446120).

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

10022112111000 is a wasteful number, since it uses less digits than its factorization.

10022112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30612 (or 30598 counting only the distinct ones).

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

Adding to 10022112111000 its reverse (11121122001), we get a palindrome (10033233233001).

It can be divided in two parts, 100221 and 12111000, that added together give a palindrome (12211221).

The spelling of 10022112111000 in words is "ten trillion, twenty-two billion, one hundred twelve million, one hundred eleven thousand".