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1010010202201 = 71113277615477
BaseRepresentation
bin11101011001010010100…
…11001010000001011001
310120120000100101101101201
432230221103022001121
5113022000102432301
62051554155514201
7132653665032010
oct16545123120131
93516010341351
101010010202201
1135a385478a80
121438b6458961
1374322118900
1436c55aa3a77
151b41548c201
hexeb294ca059

1010010202201 has 24 divisors (see below), whose sum is σ = 1363548717504. Its totient is φ = 726480855360.

The previous prime is 1010010202199. The next prime is 1010010202213. The reversal of 1010010202201 is 1022020100101.

It is not a de Polignac number, because 1010010202201 - 21 = 1010010202199 is a prime.

It is a super-3 number, since 3×10100102022013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010010202241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38794726 + ... + 38820751.

It is an arithmetic number, because the mean of its divisors is an integer number (56814529896).

Almost surely, 21010010202201 is an apocalyptic number.

1010010202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010202201 is a deficient number, since it is larger than the sum of its proper divisors (353538515303).

1010010202201 is a wasteful number, since it uses less digits than its factorization.

1010010202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77615521 (or 77615508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010010202201 its reverse (1022020100101), we get a palindrome (2032030302302).

The spelling of 1010010202201 in words is "one trillion, ten billion, ten million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 77615477 543308339 853770247 1009001201 5976391729 7063008407 11099013211 13117015613 77693092477 91819109291 144287171743 1010010202201