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10112112011120 = 245724189797887
BaseRepresentation
bin1001001100100110100011…
…0110000010011101110000
31022210201010110202111210112
42103021220312002131300
52311134101133323440
633301235022320452
72062401363615500
oct223115066023560
938721113674715
1010112112011120
113249582676369
121173965a29128
1358475008a342
1426d600a07a00
1512808c676965
hex93268d82770

10112112011120 has 480 divisors, whose sum is σ = 28398503629440. Its totient is φ = 3336481505280.

The previous prime is 10112112011087. The next prime is 10112112011129. The reversal of 10112112011120 is 2111021121101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112112011095 and 10112112011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112112011129) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11400351317 + ... + 11400352203.

It is an arithmetic number, because the mean of its divisors is an integer number (59163549228).

Almost surely, 210112112011120 is an apocalyptic number.

10112112011120 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 10112112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199251814720).

10112112011120 is an abundant number, since it is smaller than the sum of its proper divisors (18286391618320).

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

10112112011120 is a wasteful number, since it uses less digits than its factorization.

10112112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112112011120 its reverse (2111021121101), we get a palindrome (12223133132221).

The spelling of 10112112011120 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, one hundred twenty".