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10110122120020 = 2251338885085077
BaseRepresentation
bin1001001100011111001000…
…1111001101001101010100
31022210111222210102120101011
42103013302033031031110
52311121012230320040
633300305340142004
72062301152045636
oct223076217151524
938714883376334
1010110122120020
11324875140376a
1211734ab537904
135844c3a422a0
1426d492620a56
15127ec2b0e3ea
hex931f23cd354

10110122120020 has 24 divisors (see below), whose sum is σ = 22864430025864. Its totient is φ = 3732968167296.

The previous prime is 10110122119991. The next prime is 10110122120027. The reversal of 10110122120020 is 2002122101101.

10110122120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 251037073296 + 9859085046724 = 501036^2 + 3139918^2 .

It is a super-3 number, since 3×101101221200203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110122120027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19442542279 + ... + 19442542798.

It is an arithmetic number, because the mean of its divisors is an integer number (952684584411).

Almost surely, 210110122120020 is an apocalyptic number.

10110122120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110122120020 is an abundant number, since it is smaller than the sum of its proper divisors (12754307905844).

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

10110122120020 is a wasteful number, since it uses less digits than its factorization.

10110122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38885085099 (or 38885085097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10110122120020 its reverse (2002122101101), we get a palindrome (12112244221121).

The spelling of 10110122120020 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38885085077 77770170154 155540340308 194425425385 388850850770 505506106001 777701701540 1011012212002 2022024424004 2527530530005 5055061060010 10110122120020