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102200022222021 = 3361577107542859
BaseRepresentation
bin10111001111001101001100…
…000001010100010011000101
3111101212020010021021001122000
4113033031030001110103011
5101343421121142101041
61001210013030055513
730345464552366463
oct2717151401242305
9441766107231560
10102200022222021
112a622871216969
12b5670707aa599
1345045614aa0b9
141b347166c9833
15bc36ccb60bb6
hex5cf34c0544c5

102200022222021 has 32 divisors (see below), whose sum is σ = 154156237238400. Its totient is φ = 66900261104640.

The previous prime is 102200022221963. The next prime is 102200022222097. The reversal of 102200022222021 is 120222220002201.

102200022222021 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 0 + 222 + 220 + 21 = 666.

It is not a de Polignac number, because 102200022222021 - 29 = 102200022221509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200022221985 and 102200022222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200022222721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52821111 + ... + 54721748.

It is an arithmetic number, because the mean of its divisors is an integer number (4817382413700).

Almost surely, 2102200022222021 is an apocalyptic number.

It is an amenable number.

102200022222021 is a deficient number, since it is larger than the sum of its proper divisors (51956215016379).

102200022222021 is a wasteful number, since it uses less digits than its factorization.

102200022222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107543506 (or 107543500 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200022222021 its reverse (120222220002201), we get a palindrome (222422242224222).

The spelling of 102200022222021 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 27 61 183 549 577 1647 1731 5193 15579 35197 105591 316773 950319 107542859 322628577 967885731 2903657193 6560114399 19680343197 59041029591 62052229643 177123088773 186156688929 558470066787 1675410200361 3785186008223 11355558024669 34066674074007 102200022222021