Search a number
-
+
21230312200020 = 22335711246417229
BaseRepresentation
bin1001101001111000100010…
…01101111001011101010100
32210011121010221220220221000
410310330101031321131110
510240314134410400040
6113053023142223300
74320560633124630
oct464742115713524
983147127826830
1021230312200020
1168457a7844700
12246a6b0724b30
13bb0018843671
145357a445bdc0
1526c3b0cb9130
hex134f11379754

21230312200020 has 288 divisors, whose sum is σ = 82971726969600. Its totient is φ = 4411493349120.

The previous prime is 21230312199973. The next prime is 21230312200039. The reversal of 21230312200020 is 2000221303212.

It is a super-2 number, since 2×212303122000202 (a number of 27 digits) contains 22 as substring.

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 = 21230312199966 and 21230312200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22751235 + ... + 23665994.

It is an arithmetic number, because the mean of its divisors is an integer number (288096274200).

Almost surely, 221230312200020 is an apocalyptic number.

21230312200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21230312200020 is an abundant number, since it is smaller than the sum of its proper divisors (61741414769580).

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

21230312200020 is a wasteful number, since it uses less digits than its factorization.

21230312200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46417276 (or 46417257 counting only the distinct ones).

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

Adding to 21230312200020 its reverse (2000221303212), we get a palindrome (23230533503232).

The spelling of 21230312200020 in words is "twenty-one trillion, two hundred thirty billion, three hundred twelve million, two hundred thousand, twenty".