Search a number
-
+
1003221202122 = 232311797887459
BaseRepresentation
bin11101001100101001010…
…01001011010011001010
310112220111012200110002100
432212110221023103022
5112414044111431442
62044512400014230
7132323520342606
oct16462451132312
93486435613070
101003221202122
1135751123a807
12142520901376
13737ac74b9b9
14367b0190506
151b16945184c
hexe994a4b4ca

1003221202122 has 24 divisors (see below), whose sum is σ = 2243763550080. Its totient is φ = 323619742440.

The previous prime is 1003221202121. The next prime is 1003221202199. The reversal of 1003221202122 is 2212021223001.

1003221202122 is a `hidden beast` number, since 10 + 0 + 322 + 120 + 212 + 2 = 666.

It is a super-2 number, since 2×10032212021222 (a number of 25 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 = 1003221202095 and 1003221202104.

It is not an unprimeable number, because it can be changed into a prime (1003221202121) 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 11 ways as a sum of consecutive naturals, for example, 898943172 + ... + 898944287.

It is an arithmetic number, because the mean of its divisors is an integer number (93490147920).

Almost surely, 21003221202122 is an apocalyptic number.

1003221202122 is an abundant number, since it is smaller than the sum of its proper divisors (1240542347958).

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

1003221202122 is a wasteful number, since it uses less digits than its factorization.

1003221202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797887498 (or 1797887495 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1003221202122 its reverse (2212021223001), we get a palindrome (3215242425123).

The spelling of 1003221202122 in words is "one trillion, three billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1797887459 3595774918 5393662377 10787324754 16180987131 32361974262 55734511229 111469022458 167203533687 334407067374 501610601061 1003221202122