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111101022120 = 2335111011734817
BaseRepresentation
bin110011101111000100…
…0110000111110101000
3101121202211011200210010
41213132020300332220
53310013330201440
6123012240251520
711012121051324
oct1473610607650
9347684150703
10111101022120
11431326a3350
1219647610ba0
13a627647b9a
14553d50a984
152d53ad1580
hex19de230fa8

111101022120 has 256 divisors, whose sum is σ = 369402612480. Its totient is φ = 26507264000.

The previous prime is 111101022059. The next prime is 111101022121. The reversal of 111101022120 is 21220101111.

It is a super-2 number, since 2×1111010221202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111101022096 and 111101022105.

It is not an unprimeable number, because it can be changed into a prime (111101022121) 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 63 ways as a sum of consecutive naturals, for example, 23061952 + ... + 23066768.

It is an arithmetic number, because the mean of its divisors is an integer number (1442978955).

Almost surely, 2111101022120 is an apocalyptic number.

111101022120 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 111101022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184701306240).

111101022120 is an abundant number, since it is smaller than the sum of its proper divisors (258301590360).

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

111101022120 is a wasteful number, since it uses less digits than its factorization.

111101022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5112 counting only the distinct ones).

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

Adding to 111101022120 its reverse (21220101111), we get a palindrome (132321123231).

The spelling of 111101022120 in words is "one hundred eleven billion, one hundred one million, twenty-two thousand, one hundred twenty".