Search a number
-
+
12200202002021 = 1131211411101141
BaseRepresentation
bin1011000110001001010010…
…1101001101111001100101
31121012022212001110112222012
42301202110231031321211
53044342003203031041
641540410113444005
72366302243652465
oct261422455157145
947168761415865
1012200202002021
113984092a76120
121450592b70605
136a6621817387
143026c8843ba5
1516254de973eb
hexb1894b4de65

12200202002021 has 24 divisors (see below), whose sum is σ = 13753834517664. Its totient is φ = 10732268820000.

The previous prime is 12200202001993. The next prime is 12200202002033. The reversal of 12200202002021 is 12020020200221.

12200202002021 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 12200202002021 - 26 = 12200202001957 is a prime.

It is a super-3 number, since 3×122002020020213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200202001987 and 12200202002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200202052021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120575111 + ... + 120676251.

It is an arithmetic number, because the mean of its divisors is an integer number (573076438236).

Almost surely, 212200202002021 is an apocalyptic number.

12200202002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200202002021 is a deficient number, since it is larger than the sum of its proper divisors (1553632515643).

12200202002021 is a wasteful number, since it uses less digits than its factorization.

12200202002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112625 (or 112594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12200202002021 its reverse (12020020200221), we get a palindrome (24220222202242).

The spelling of 12200202002021 in words is "twelve trillion, two hundred billion, two hundred two million, two thousand, twenty-one".

Divisors: 1 11 31 341 961 10571 11411 101141 125521 353741 1112551 3135371 3891151 10965971 34489081 97196501 120625681 1069161511 1154119951 12695319461 35777718481 393554903291 1109109272911 12200202002021