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210120011101 = 711131723995147
BaseRepresentation
bin1100001110110000100…
…0001110110101011101
3202002100121212111220101
43003230020032311131
511420311210323401
6240310001021101
721115653424360
oct3035410166535
9662317774811
10210120011101
11811252a5340
1234880924791
1316a77b38620
14a2541640d7
1556ebb3b101
hex30ec20ed5d

210120011101 has 64 divisors (see below), whose sum is σ = 298896998400. Its totient is φ = 142158044160.

The previous prime is 210120011099. The next prime is 210120011201. The reversal of 210120011101 is 101110021012.

210120011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210120011101 - 21 = 210120011099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40821210 + ... + 40826356.

It is an arithmetic number, because the mean of its divisors is an integer number (4670265600).

Almost surely, 2210120011101 is an apocalyptic number.

It is an amenable number.

210120011101 is a deficient number, since it is larger than the sum of its proper divisors (88776987299).

210120011101 is a wasteful number, since it uses less digits than its factorization.

210120011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210120011101 its reverse (101110021012), we get a palindrome (311230032113).

The spelling of 210120011101 in words is "two hundred ten billion, one hundred twenty million, eleven thousand, one hundred one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2399 2431 5147 16793 17017 26389 31187 36029 40783 56617 66911 87499 184723 218309 285481 343057 396319 448613 468377 530179 612493 736021 962489 1137487 2401399 3140291 3711253 5152147 5831969 6737423 7962409 12347653 12512357 40823783 86433571 87586499 135824183 160519489 209910101 950769281 1123636423 1469370707 1765714379 2309011111 2728831313 12360000653 16163077777 19101819191 30017144443 210120011101