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1110021022201 = 721321153116257
BaseRepresentation
bin10000001001110010011…
…010001010000111111001
310221010011021101102220011
4100021302122022013321
5121141310340202301
62205534150501521
7143124233003500
oct20116232120771
93833137342804
101110021022201
11398836a24323
1215b1679648a1
138089cc46200
143ba2233d837
151dd1a612a51
hex1027268a1f9

1110021022201 has 36 divisors (see below), whose sum is σ = 1399441026492. Its totient is φ = 877489127424.

The previous prime is 1110021022177. The next prime is 1110021022207. The reversal of 1110021022201 is 1022201200111.

Adding to 1110021022201 its reverse (1022201200111), we get a palindrome (2132222222312).

It can be written as a sum of positive squares in 6 ways, for example, as 214771999225 + 895249022976 = 463435^2 + 946176^2 .

It is not a de Polignac number, because 1110021022201 - 25 = 1110021022169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1110021022207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9489865 + ... + 9606121.

It is an arithmetic number, because the mean of its divisors is an integer number (38873361847).

Almost surely, 21110021022201 is an apocalyptic number.

It is an amenable number.

1110021022201 is a deficient number, since it is larger than the sum of its proper divisors (289420004291).

1110021022201 is a wasteful number, since it uses less digits than its factorization.

1110021022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117450 (or 117430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 1110021022201 in words is "one trillion, one hundred ten billion, twenty-one million, twenty-two thousand, two hundred one".

Divisors: 1 7 13 49 91 169 637 1153 1183 8071 8281 14989 56497 104923 116257 194857 734461 813799 1363999 1511341 5696593 9547993 10579387 19647433 74055709 134044321 137532031 938310247 962724217 1742576173 6568171729 12198033211 22653490249 85386232477 158574431743 1110021022201