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1002211221 = 311194771479
BaseRepresentation
bin111011101111001…
…000011110010101
32120211211121100010
4323233020132111
54023031224341
6243240510433
733556440414
oct7357103625
92524747303
101002211221
114747a4140
1223b77b419
1312c8327bb
149716547b
155cebb716
hex3bbc8795

1002211221 has 64 divisors (see below), whose sum is σ = 1592524800. Its totient is φ = 554097600.

The previous prime is 1002211213. The next prime is 1002211237. The reversal of 1002211221 is 1221122001.

It is not a de Polignac number, because 1002211221 - 23 = 1002211213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002211197 and 1002211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2092060 + ... + 2092538.

It is an arithmetic number, because the mean of its divisors is an integer number (24883200).

Almost surely, 21002211221 is an apocalyptic number.

1002211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002211221 is a deficient number, since it is larger than the sum of its proper divisors (590313579).

1002211221 is a wasteful number, since it uses less digits than its factorization.

1002211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002211221 is about 31657.7197694338. The cubic root of 1002211221 is about 1000.7365310555.

Adding to 1002211221 its reverse (1221122001), we get a palindrome (2223333222).

The spelling of 1002211221 in words is "one billion, two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 47 57 71 141 209 213 479 517 627 781 893 1349 1437 1551 2343 2679 3337 4047 5269 9101 9823 10011 14839 15807 22513 27303 29469 34009 36707 44517 63403 67539 100111 102027 110121 190209 247643 300333 374099 427747 646171 697433 742929 1122297 1283241 1598423 1938513 2092299 4705217 4795269 7107881 14115651 17582653 21323643 30370037 52747959 91110111 334070407 1002211221