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1010111100221 = 1729149117111743
BaseRepresentation
bin11101011001011110101…
…00000011010100111101
310120120021101020112110102
432230233110003110331
5113022201420201341
62052012202250445
7132656331454226
oct16545724032475
93516241215412
101010111100221
1135a427423173
121439241b6a25
1374339cb5092
1436c6524a24d
151b41e26cc9b
hexeb2f50353d

1010111100221 has 32 divisors (see below), whose sum is σ = 1114881408000. Its totient is φ = 910893634560.

The previous prime is 1010111100199. The next prime is 1010111100253. The reversal of 1010111100221 is 1220011110101.

It is a cyclic number.

It is not a de Polignac number, because 1010111100221 - 214 = 1010111083837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111100281) 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, 86012276 + ... + 86024018.

It is an arithmetic number, because the mean of its divisors is an integer number (34840044000).

Almost surely, 21010111100221 is an apocalyptic number.

It is an amenable number.

1010111100221 is a deficient number, since it is larger than the sum of its proper divisors (104770307779).

1010111100221 is a wasteful number, since it uses less digits than its factorization.

1010111100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010111100221 its reverse (1220011110101), we get a palindrome (2230122210322).

The spelling of 1010111100221 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 17 29 149 493 1171 2533 4321 11743 19907 33959 73457 174479 199631 340547 577303 1749707 2966143 5059891 5789299 13751053 29745019 50741503 86018147 233767901 398780537 862605551 2048906897 6779269129 34831417249 59418300013 1010111100221