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101111010221 = 13311384118127
BaseRepresentation
bin101111000101010101…
…1111001001110101101
3100122222121012111202102
41132022223321032231
53124033404311341
6114241051504445
710206424256234
oct1361253711655
9318877174672
10101111010221
1139976590571
1217719a58125
1396c4a46a40
144c72827b1b
15296ba47c9b
hex178aaf93ad

101111010221 has 16 divisors (see below), whose sum is σ = 112415643648. Its totient is φ = 90310982400.

The previous prime is 101111010197. The next prime is 101111010233. The reversal of 101111010221 is 122010111101.

It is a cyclic number.

It is not a de Polignac number, because 101111010221 - 26 = 101111010157 is a prime.

It is a super-3 number, since 3×1011110102213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5568860 + ... + 5586986.

It is an arithmetic number, because the mean of its divisors is an integer number (7025977728).

Almost surely, 2101111010221 is an apocalyptic number.

It is an amenable number.

101111010221 is a deficient number, since it is larger than the sum of its proper divisors (11304633427).

101111010221 is a wasteful number, since it uses less digits than its factorization.

101111010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32012.

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

Adding to 101111010221 its reverse (122010111101), we get a palindrome (223121121322).

The spelling of 101111010221 in words is "one hundred one billion, one hundred eleven million, ten thousand, two hundred twenty-one".

Divisors: 1 13 31 403 13841 18127 179933 235651 429071 561937 5577923 7305181 250895807 3261645491 7777770017 101111010221