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10111010100000 = 25355171982551
BaseRepresentation
bin1001001100100010011100…
…1010100101001100100000
31022210121021200022121220120
42103020213022211030200
52311124322041200000
633300533420440240
72062332153542565
oct223104712451440
938717250277816
1010111010100000
113249067676217
1211736b89a9080
135846059ba824
1426d53852c86c
15128025a646a0
hex932272a5320

10111010100000 has 288 divisors, whose sum is σ = 35126095036032. Its totient is φ = 2537664000000.

The previous prime is 10111010099977. The next prime is 10111010100001. The reversal of 10111010100000 is 101011101.

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 not an unprimeable number, because it can be changed into a prime (10111010100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4108725 + ... + 6091275.

It is an arithmetic number, because the mean of its divisors is an integer number (121965607764).

Almost surely, 210111010100000 is an apocalyptic number.

10111010100000 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 10111010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563047518016).

10111010100000 is an abundant number, since it is smaller than the sum of its proper divisors (25015084936032).

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

10111010100000 is an equidigital number, since it uses as much as digits as its factorization.

10111010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982606 (or 1982578 counting only the distinct ones).

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

Adding to 10111010100000 its reverse (101011101), we get a palindrome (10111111111101).

The spelling of 10111010100000 in words is "ten trillion, one hundred eleven billion, ten million, one hundred thousand".