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1100120012001 = 321184111032299
BaseRepresentation
bin10000000000100100010…
…000110011010011100001
310220011121020220000020200
4100000210100303103201
5121011021210341001
62201215501455413
7142323666545523
oct20004420632341
93804536800220
101100120012001
1139461608086a
12159263b71569
137c9829077aa
143b3633c7a13
151d93b2aa086
hex100244334e1

1100120012001 has 12 divisors (see below), whose sum is σ = 1589077198800. Its totient is φ = 733406437080.

The previous prime is 1100120011993. The next prime is 1100120012009. The reversal of 1100120012001 is 1002100210011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100120011993) and next prime (1100120012009).

It is not a de Polignac number, because 1100120012001 - 23 = 1100120011993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1100120012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549550 + ... + 1581848.

It is an arithmetic number, because the mean of its divisors is an integer number (132423099900).

Almost surely, 21100120012001 is an apocalyptic number.

It is an amenable number.

1100120012001 is a deficient number, since it is larger than the sum of its proper divisors (488957186799).

1100120012001 is a wasteful number, since it uses less digits than its factorization.

1100120012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150716 (or 1150713 counting only the distinct ones).

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

Adding to 1100120012001 its reverse (1002100210011), we get a palindrome (2102220222012).

The spelling of 1100120012001 in words is "one trillion, one hundred billion, one hundred twenty million, twelve thousand, one".

Divisors: 1 3 9 118411 355233 1032299 1065699 3096897 9290691 122235556889 366706670667 1100120012001