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211201016016 = 24337907131113
BaseRepresentation
bin1100010010110010001…
…1111100000011010000
3202012010221222020212110
43010230203330003100
511430014430003031
6241005134425320
721154521005244
oct3045443740320
9665127866773
10211201016016
118162a516331
1234b22962240
1316bbaa983c3
14a31795a424
1557619bdc46
hex312c8fc0d0

211201016016 has 80 divisors (see below), whose sum is σ = 560970724544. Its totient is φ = 68421583872.

The previous prime is 211201015981. The next prime is 211201016017. The reversal of 211201016016 is 610610102112.

It is a junction number, because it is equal to n+sod(n) for n = 211201015983 and 211201016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201016017) 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, 1545276 + ... + 1676388.

Almost surely, 2211201016016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280485362272).

211201016016 is an abundant number, since it is smaller than the sum of its proper divisors (349769708528).

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

211201016016 is a wasteful number, since it uses less digits than its factorization.

211201016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132068 (or 132062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 211201016016 its reverse (610610102112), we get a palindrome (821811118128).

The spelling of 211201016016 in words is "two hundred eleven billion, two hundred one million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 907 1776 1814 2721 3628 5442 7256 10884 14512 21768 33559 43536 67118 100677 131113 134236 201354 262226 268472 393339 402708 524452 536944 786678 805416 1048904 1573356 1610832 2097808 3146712 4851181 6293424 9702362 14553543 19404724 29107086 38809448 58214172 77618896 116428344 118919491 232856688 237838982 356758473 475677964 713516946 951355928 1427033892 1902711856 2854067784 4400021167 5708135568 8800042334 13200063501 17600084668 26400127002 35200169336 52800254004 70400338672 105600508008 211201016016