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111020200011000 = 23325372960766393
BaseRepresentation
bin11001001111100011100111…
…100101011010010011111000
3112120002102112121212002100200
4121033203213211122103320
5104022423332200323000
61032041550434402200
732245642023524130
oct3117434745322370
9476072477762320
10111020200011000
1132413447685355
1210550560430360
1349c4210503c17
141d5b599055ac0
15cc7d54552500
hex64f8e795a4f8

111020200011000 has 384 divisors, whose sum is σ = 443643289315200. Its totient is φ = 24501009254400.

The previous prime is 111020200010981. The next prime is 111020200011001. The reversal of 111020200011000 is 110002020111.

It is a happy number.

111020200011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1110202000110003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020200011001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28556197 + ... + 32210196.

It is an arithmetic number, because the mean of its divisors is an integer number (1155321065925).

Almost surely, 2111020200011000 is an apocalyptic number.

111020200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111020200011000 is an abundant number, since it is smaller than the sum of its proper divisors (332623089304200).

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

111020200011000 is a wasteful number, since it uses less digits than its factorization.

111020200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60766456 (or 60766439 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111020200011000 its reverse (110002020111), we get a palindrome (111130202031111).

The spelling of 111020200011000 in words is "one hundred eleven trillion, twenty billion, two hundred million, eleven thousand".