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212020000101 = 327133723332999
BaseRepresentation
bin1100010101110101100…
…0000111010101100101
3202021021001000221211100
43011131120013111211
511433204110000401
6241222312230313
721214024160040
oct3053530072545
9667231027740
10212020000101
1181a0a843188
123511109b399
1316cbb667180
14a394627c57
1557ad845b86
hex315d607565

212020000101 has 96 divisors (see below), whose sum is σ = 387406656000. Its totient is φ = 108729257472.

The previous prime is 212020000037. The next prime is 212020000103. The reversal of 212020000101 is 101000020212.

212020000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212020000101 - 26 = 212020000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020000103) 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 95 ways as a sum of consecutive naturals, for example, 70695400 + ... + 70698398.

It is an arithmetic number, because the mean of its divisors is an integer number (4035486000).

Almost surely, 2212020000101 is an apocalyptic number.

212020000101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212020000101 is a deficient number, since it is larger than the sum of its proper divisors (175386655899).

212020000101 is a wasteful number, since it uses less digits than its factorization.

212020000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212020000101 its reverse (101000020212), we get a palindrome (313020020313).

The spelling of 212020000101 in words is "two hundred twelve billion, twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 2333 2999 3367 4329 6999 8997 10101 16331 20993 20997 26991 30303 30329 38987 48993 62979 86321 90987 110963 116961 146979 188937 212303 258963 272909 272961 332889 350883 604247 636909 776741 776889 818727 998667 1122173 1442519 1812741 1910727 2330223 2456181 3366519 4327557 5438223 6990669 6996667 7855211 10097633 10099557 12982671 20990001 23565633 30292899 48976669 62970003 70696899 90878697 90956671 146930007 258876679 272870013 440790021 636696697 776630037 818610039 1812136753 1910090091 2329890111 3365396827 5436410259 5730270273 10096190481 16309230777 23557777789 30288571443 70673333367 212020000101