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1010120311101 = 311591009151413
BaseRepresentation
bin11101011001011111101…
…11001100000100111101
310120120022000120111102010
432230233313030010331
5113022211244423401
62052013131521433
7132656502656136
oct16545767140475
93516260514363
101010120311101
1135a431644470
121439272b9279
137433bb8b6c5
1436c66566c8d
151b41ee8bed6
hexeb2fdcc13d

1010120311101 has 32 divisors (see below), whose sum is σ = 1494345853440. Its totient is φ = 601746612800.

The previous prime is 1010120311097. The next prime is 1010120311121. The reversal of 1010120311101 is 1011130210101.

It is a cyclic number.

It is not a de Polignac number, because 1010120311101 - 22 = 1010120311097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010120311121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19621471 + ... + 19672883.

It is an arithmetic number, because the mean of its divisors is an integer number (46698307920).

Almost surely, 21010120311101 is an apocalyptic number.

1010120311101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010120311101 is a deficient number, since it is larger than the sum of its proper divisors (484225542339).

1010120311101 is a wasteful number, since it uses less digits than its factorization.

1010120311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61577.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1010120311101 its reverse (1011130210101), we get a palindrome (2021250521202).

The spelling of 1010120311101 in words is "one trillion, ten billion, one hundred twenty million, three hundred eleven thousand, one hundred one".

Divisors: 1 3 11 33 59 177 649 1947 10091 30273 51413 111001 154239 333003 565543 595369 1696629 1786107 3033367 6549059 9100101 19647177 33367037 100101111 518808583 1556425749 5706894413 17120683239 30609706397 91829119191 336706770367 1010120311101