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1020221111 = 72136612423
BaseRepresentation
bin111100110011110…
…101011010110111
32122002201121021002
4330303311122313
54042134033421
6245122513515
734165510400
oct7463653267
92562647232
101020221111
11483985248
1224580589b
1313349a140
14996d29a7
155e877b0b
hex3ccf56b7

1020221111 has 24 divisors (see below), whose sum is σ = 1280541024. Its totient is φ = 805654080.

The previous prime is 1020221101. The next prime is 1020221113. The reversal of 1020221111 is 1111220201.

It is not a de Polignac number, because 1020221111 - 214 = 1020204727 is a prime.

It is a super-4 number, since 4×10202211114 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1020221092 and 1020221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020221113) 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, 419846 + ... + 422268.

It is an arithmetic number, because the mean of its divisors is an integer number (53355876).

Almost surely, 21020221111 is an apocalyptic number.

1020221111 is a deficient number, since it is larger than the sum of its proper divisors (260319913).

1020221111 is a wasteful number, since it uses less digits than its factorization.

1020221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1020221111 is about 31940.9002847446. The cubic root of 1020221111 is about 1006.6954413486.

Adding to 1020221111 its reverse (1111220201), we get a palindrome (2131441312).

It can be divided in two parts, 10202 and 21111, that added together give a palindrome (31313).

The spelling of 1020221111 in words is "one billion, twenty million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 7 13 49 91 637 661 2423 4627 8593 16961 31499 32389 60151 118727 220493 421057 1543451 1601603 11211221 20820839 78478547 145745873 1020221111