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111000110000100 = 2235217411015255911
BaseRepresentation
bin11001001111010000111010…
…001000000110011111100100
3112120000111200111221210100220
4121033100322020012133210
5104022111211130000400
61032024425132004340
732244331126330566
oct3117207210063744
9476014614853326
10111000110000100
1132405978367862
12105486943006b0
1349c235b2a23c9
141d5a610c1d336
15cc757a9567a0
hex64f43a2067e4

111000110000100 has 288 divisors, whose sum is σ = 351795093172992. Its totient is φ = 26910259200000.

The previous prime is 111000110000069. The next prime is 111000110000237. The reversal of 111000110000100 is 1000011000111.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18491145 + ... + 23747055.

It is an arithmetic number, because the mean of its divisors is an integer number (1221510740184).

Almost surely, 2111000110000100 is an apocalyptic number.

111000110000100 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 111000110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175897546586496).

111000110000100 is an abundant number, since it is smaller than the sum of its proper divisors (240794983172892).

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

111000110000100 is a wasteful number, since it uses less digits than its factorization.

111000110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256087 (or 5256080 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111000110000100 its reverse (1000011000111), we get a palindrome (112000121000211).

The spelling of 111000110000100 in words is "one hundred eleven trillion, one hundred ten million, one hundred", and thus it is an aban number.