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111022000012020 = 2235172414995991511
BaseRepresentation
bin11001001111100101010010…
…110111110111101011110100
3112120002121012001212121120010
4121033211102313313223310
5104022441024000341040
61032042445214540220
732246034441344406
oct3117452267675364
9476077161777503
10111022000012020
113241419073a7a9
1210550983207670
1349c44393c4596
141d5b6ca12cb76
15cc7e0c5aae80
hex64f952df7af4

111022000012020 has 384 divisors, whose sum is σ = 331948108800000. Its totient is φ = 27628587417600.

The previous prime is 111022000012019. The next prime is 111022000012057. The reversal of 111022000012020 is 20210000220111.

It is a super-3 number, since 3×1110220000120203 (a number of 43 digits) contains 333 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 = 111022000011987 and 111022000012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73475843065 + ... + 73475844575.

It is an arithmetic number, because the mean of its divisors is an integer number (864448200000).

Almost surely, 2111022000012020 is an apocalyptic number.

111022000012020 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 111022000012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165974054400000).

111022000012020 is an abundant number, since it is smaller than the sum of its proper divisors (220926108787980).

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

111022000012020 is a wasteful number, since it uses less digits than its factorization.

111022000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111022000012020 its reverse (20210000220111), we get a palindrome (131232000232131).

The spelling of 111022000012020 in words is "one hundred eleven trillion, twenty-two billion, twelve thousand, twenty".