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212021123130 = 2355239365069
BaseRepresentation
bin1100010101110101110…
…0011001100000111010
3202021021010011000100000
43011131130121200322
511433204401420010
6241222352253430
721214036545135
oct3053534314072
9667233130300
10212021123130
1181a1043aa03
1235111541276
1316cbb96b39b
14a39483b21c
1557ad9b87c0
hex315d71983a

212021123130 has 96 divisors (see below), whose sum is σ = 574065273600. Its totient is φ = 56302247232.

The previous prime is 212021123087. The next prime is 212021123183. The reversal of 212021123130 is 31321120212.

212021123130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 398236 + ... + 763304.

It is an arithmetic number, because the mean of its divisors is an integer number (5979846600).

Almost surely, 2212021123130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287032636800).

212021123130 is an abundant number, since it is smaller than the sum of its proper divisors (362044150470).

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

212021123130 is a wasteful number, since it uses less digits than its factorization.

212021123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365330 (or 365318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021123130 its reverse (31321120212), we get a palindrome (243342243342).

The spelling of 212021123130 in words is "two hundred twelve billion, twenty-one million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 239 243 270 405 478 486 717 810 1195 1215 1434 2151 2390 2430 3585 4302 6453 7170 10755 12906 19359 21510 32265 38718 58077 64530 96795 116154 193590 290385 365069 580770 730138 1095207 1825345 2190414 3285621 3650690 5476035 6571242 9856863 10952070 16428105 19713726 29570589 32856210 49284315 59141178 87251491 88711767 98568630 147852945 174502982 177423534 261754473 295705890 436257455 443558835 523508946 785263419 872514910 887117670 1308772365 1570526838 2355790257 2617544730 3926317095 4711580514 7067370771 7852634190 11778951285 14134741542 21202112313 23557902570 35336853855 42404224626 70673707710 106010561565 212021123130