Search a number
-
+
2200122133011 = 321147617751467
BaseRepresentation
bin100000000001000001011…
…111111000101000010011
321210022220021221112110100
4200001001133320220103
5242021322231224021
64402415552503443
7314645035366005
oct40010137705023
97708807845410
102200122133011
11779080650360
122b649454ab83
1312c616c762aa
14786b4c84375
153c36c029626
hex200417f8a13

2200122133011 has 48 divisors (see below), whose sum is σ = 3598665527808. Its totient is φ = 1283642769600.

The previous prime is 2200122133009. The next prime is 2200122133147. The reversal of 2200122133011 is 1103312210022.

2200122133011 is a `hidden beast` number, since 2 + 200 + 122 + 1 + 330 + 11 = 666.

It is not a de Polignac number, because 2200122133011 - 21 = 2200122133009 is a prime.

It is a super-2 number, since 2×22001221330112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2200122133211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3591901 + ... + 4159566.

It is an arithmetic number, because the mean of its divisors is an integer number (74972198496).

Almost surely, 22200122133011 is an apocalyptic number.

2200122133011 is a deficient number, since it is larger than the sum of its proper divisors (1398543394797).

2200122133011 is a wasteful number, since it uses less digits than its factorization.

2200122133011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751592 (or 7751589 counting only the distinct ones).

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

Adding to 2200122133011 its reverse (1103312210022), we get a palindrome (3303434343033).

The spelling of 2200122133011 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, eleven".

Divisors: 1 3 9 11 33 47 61 99 141 183 423 517 549 671 1551 2013 2867 4653 6039 8601 25803 31537 94611 283833 7751467 23254401 69763203 85266137 255798411 364318949 472839487 767395233 1092956847 1418518461 3278870541 4007508439 4255555383 5201234357 12022525317 15603703071 22223455889 36067575951 46811109213 66670367667 200011103001 244458014779 733374044337 2200122133011