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221001313302 = 233711281189149
BaseRepresentation
bin1100110111010010110…
…1000110110000010110
3210010102221221221101000
43031310231012300112
512110102314011202
6245305425044130
721652422111450
oct3156455066026
9703387857330
10221001313302
11857a9530780
12369b8a86646
1317ac02a3993
14a9a73772d0
155b3708091c
hex3374b46c16

221001313302 has 128 divisors (see below), whose sum is σ = 614480256000. Its totient is φ = 57198355200.

The previous prime is 221001313283. The next prime is 221001313321. The reversal of 221001313302 is 203313100122.

221001313302 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221001313283) and next prime (221001313321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073824 + ... + 1262972.

It is an arithmetic number, because the mean of its divisors is an integer number (4800627000).

Almost surely, 2221001313302 is an apocalyptic number.

221001313302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307240128000).

221001313302 is an abundant number, since it is smaller than the sum of its proper divisors (393478942698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221001313302 is a wasteful number, since it uses less digits than its factorization.

221001313302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189459 (or 189453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221001313302 its reverse (203313100122), we get a palindrome (424314413424).

The spelling of 221001313302 in words is "two hundred twenty-one billion, one million, three hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 281 297 378 462 562 594 693 843 1386 1686 1967 2079 2529 3091 3934 4158 5058 5901 6182 7587 9273 11802 15174 17703 18546 21637 27819 35406 43274 53109 55638 64911 83457 106218 129822 166914 189149 194733 378298 389466 567447 584199 1134894 1168398 1324043 1702341 2080639 2648086 3404682 3972129 4161278 5107023 6241917 7944258 10214046 11916387 12483834 14564473 18725751 23832774 29128946 35749161 37451502 43693419 53150869 56177253 71498322 87386838 106301738 112354506 131080257 159452607 262160514 318905214 372056083 393240771 478357821 584659559 744112166 786481542 956715642 1116168249 1169319118 1435073463 1753978677 2232336498 2870146926 3348504747 3507957354 4092616913 5261936031 6697009494 8185233826 10045514241 10523872062 12277850739 15785808093 20091028482 24555701478 31571616186 36833552217 73667104434 110500656651 221001313302