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1120100000100 = 223521710717911467
BaseRepresentation
bin10000010011001011001…
…010011010000101100100
310222002011200202120022220
4100103023022122011210
5121322431100000400
62214322234152340
7143632056623634
oct20231312320544
93862150676286
101120100000100
113a2039281624
121610bb2826b0
13818180c6763
143c2dab806c4
151e20a3c17a0
hex104cb29a164

1120100000100 has 288 divisors, whose sum is σ = 3483182062080. Its totient is φ = 276915824640.

The previous prime is 1120100000093. The next prime is 1120100000137. The reversal of 1120100000100 is 10000010211.

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, 97674567 + ... + 97686033.

It is an arithmetic number, because the mean of its divisors is an integer number (12094382160).

Almost surely, 21120100000100 is an apocalyptic number.

1120100000100 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 1120100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741591031040).

1120100000100 is an abundant number, since it is smaller than the sum of its proper divisors (2363082061980).

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

1120100000100 is a wasteful number, since it uses less digits than its factorization.

1120100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1120100000100 its reverse (10000010211), we get a palindrome (1130100010311).

The spelling of 1120100000100 in words is "one trillion, one hundred twenty billion, one hundred million, one hundred", and thus it is an aban number.