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213220100220 = 223523186782757
BaseRepresentation
bin1100011010010011101…
…0001000100001111100
3202101100200020100200220
43012210322020201330
511443133321201340
6241541342421340
721255535643151
oct3064472104174
9671320210626
10213220100220
1182476208166
12353a6b91850
131715019509a
14a469b82228
15582dda0ed0
hex31a4e8887c

213220100220 has 96 divisors (see below), whose sum is σ = 623314718208. Its totient is φ = 54356788992.

The previous prime is 213220100167. The next prime is 213220100231. The reversal of 213220100220 is 22001022312.

It is a happy number.

It is a super-2 number, since 2×2132201002202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213220100220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2535082 + ... + 2617838.

It is an arithmetic number, because the mean of its divisors is an integer number (6492861648).

Almost surely, 2213220100220 is an apocalyptic number.

213220100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213220100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311657359104).

213220100220 is an abundant number, since it is smaller than the sum of its proper divisors (410094617988).

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

213220100220 is a wasteful number, since it uses less digits than its factorization.

213220100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84659 (or 84657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 213220100220 its reverse (22001022312), we get a palindrome (235221122532).

The spelling of 213220100220 in words is "two hundred thirteen billion, two hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1867 3734 5601 7468 9335 11202 18670 22404 28005 37340 42941 56010 82757 85882 112020 128823 165514 171764 214705 248271 257646 331028 413785 429410 496542 515292 644115 827570 858820 993084 1241355 1288230 1655140 1903411 2482710 2576460 3806822 4965420 5710233 7613644 9517055 11420466 19034110 22840932 28551165 38068220 57102330 114204660 154507319 309014638 463521957 618029276 772536595 927043914 1545073190 1854087828 2317609785 3090146380 3553668337 4635219570 7107336674 9270439140 10661005011 14214673348 17768341685 21322010022 35536683370 42644020044 53305025055 71073366740 106610050110 213220100220