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211230232020 = 2232511083105883
BaseRepresentation
bin1100010010111001001…
…1011000110111010100
3202012012222221120200200
43010232103120313110
511430044414411040
6241012100540500
721155324230143
oct3045623306724
9665188846620
10211230232020
1181644a60795
1234b306b1730
1316bc3b57592
14a31b7a375a
155764340630
hex312e4d8dd4

211230232020 has 72 divisors (see below), whose sum is σ = 640795567776. Its totient is φ = 56322447552.

The previous prime is 211230231997. The next prime is 211230232021. The reversal of 211230232020 is 20232032112.

211230232020 is a `hidden beast` number, since 21 + 1 + 2 + 302 + 320 + 20 = 666.

211230232020 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 a junction number, because it is equal to n+sod(n) for n = 211230231984 and 211230232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211230232021) 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 23 ways as a sum of consecutive naturals, for example, 1941999 + ... + 2047881.

Almost surely, 2211230232020 is an apocalyptic number.

211230232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211230232020 is an abundant number, since it is smaller than the sum of its proper divisors (429565335756).

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

211230232020 is a wasteful number, since it uses less digits than its factorization.

211230232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116981 (or 116976 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211230232020 its reverse (20232032112), we get a palindrome (231462264132).

The spelling of 211230232020 in words is "two hundred eleven billion, two hundred thirty million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11083 22166 33249 44332 55415 66498 99747 105883 110830 132996 166245 199494 211766 221660 317649 332490 398988 423532 498735 529415 635298 664980 952947 997470 1058830 1270596 1588245 1905894 1994940 2117660 3176490 3811788 4764735 6352980 9529470 19058940 1173501289 2347002578 3520503867 4694005156 5867506445 7041007734 10561511601 11735012890 14082015468 17602519335 21123023202 23470025780 35205038670 42246046404 52807558005 70410077340 105615116010 211230232020