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211220020013022 = 2356129569240953
BaseRepresentation
bin110000000001101001111110…
…010000110010011111011110
31000200212102210100202110100000
4300001221332100302133132
5210141112100110404042
62025121045421315130
762330066666664066
oct6001517620623736
91020772710673300
10211220020013022
11613349a8891569
121b833a31405aa6
1390b1c68596047
143a231640923a6
1519644b658d74c
hexc01a7e4327de

211220020013022 has 96 divisors (see below), whose sum is σ = 482391662145120. Its totient is φ = 69249836113920.

The previous prime is 211220020013021. The next prime is 211220020013053. The reversal of 211220020013022 is 220310020022112.

211220020013022 is a `hidden beast` number, since 2 + 112 + 200 + 200 + 130 + 22 = 666.

211220020013022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2112200200130223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 211220020012986 and 211220020013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220020013021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876482098 + ... + 876723050.

It is an arithmetic number, because the mean of its divisors is an integer number (5024913147345).

Almost surely, 2211220020013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220020013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241195831072560).

211220020013022 is an abundant number, since it is smaller than the sum of its proper divisors (271171642132098).

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

211220020013022 is a wasteful number, since it uses less digits than its factorization.

211220020013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270600 (or 270588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211220020013022 its reverse (220310020022112), we get a palindrome (431530040035134).

The spelling of 211220020013022 in words is "two hundred eleven trillion, two hundred twenty billion, twenty million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 1098 1647 3294 4941 9882 14823 29569 29646 59138 88707 177414 240953 266121 481906 532242 722859 798363 1445718 1596726 1803709 2168577 2395089 3607418 4337154 4790178 5411127 6505731 7185267 10822254 13011462 14370534 14698133 16233381 19517193 29396266 32466762 39034386 44094399 48700143 58551579 88188798 97400286 117103158 132283197 146100429 264566394 292200858 396849591 438301287 793699182 876602574 1190548773 2381097546 3571646319 7124739257 7143292638 14249478514 21374217771 42748435542 64122653313 128245306626 192367959939 384735919878 434609094677 577103879817 869218189354 1154207759634 1303827284031 1731311639451 2607654568062 3462623278902 3911481852093 7822963704186 11734445556279 23468891112558 35203336668837 70406673337674 105610010006511 211220020013022