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212202011320 = 235132574393617
BaseRepresentation
bin1100010110100000111…
…0011011101010111000
3202021201201112002021121
43011220032123222320
511434042203330240
6241252333315024
721221364223015
oct3055016335270
9667651462247
10212202011320
1181aa3559982
1235162035a74
131701a293610
14a3b088670c
1557be7ea04a
hex316839bab8

212202011320 has 128 divisors (see below), whose sum is σ = 517501353600. Its totient is φ = 77847330816.

The previous prime is 212202011299. The next prime is 212202011321. The reversal of 212202011320 is 23110202212.

It is a happy number.

212202011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212202011294 and 212202011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202011321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 58666152 + ... + 58669768.

It is an arithmetic number, because the mean of its divisors is an integer number (4042979325).

Almost surely, 2212202011320 is an apocalyptic number.

212202011320 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 212202011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258750676800).

212202011320 is an abundant number, since it is smaller than the sum of its proper divisors (305299342280).

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

212202011320 is a wasteful number, since it uses less digits than its factorization.

212202011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212202011320 its reverse (23110202212), we get a palindrome (235312213532).

The spelling of 212202011320 in words is "two hundred twelve billion, two hundred two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 257 260 439 514 520 878 1028 1285 1756 2056 2195 2570 3341 3512 3617 4390 5140 5707 6682 7234 8780 10280 11414 13364 14468 16705 17560 18085 22828 26728 28535 28936 33410 36170 45656 47021 57070 66820 72340 94042 112823 114140 133640 144680 188084 225646 228280 235105 376168 451292 470210 564115 902584 929569 940420 1128230 1466699 1587863 1859138 1880840 2256460 2933398 3175726 3718276 4512920 4647845 5866796 6351452 7333495 7436552 7939315 9295690 11733592 12084397 12702904 14666990 15878630 18591380 20642219 24168794 29333980 31757260 37182760 41284438 48337588 58667960 60421985 63514520 82568876 96675176 103211095 120843970 165137752 206422190 241687940 408080791 412844380 483375880 816161582 825688760 1632323164 2040403955 3264646328 4080807910 5305050283 8161615820 10610100566 16323231640 21220201132 26525251415 42440402264 53050502830 106101005660 212202011320