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102213221323203 = 32192113769751627
BaseRepresentation
bin10111001111011001011110…
…101111111001000111000011
3111101220111012010200212120100
4113033121132233321013003
5101344130134124320303
61001220034452413443
730346442624036154
oct2717313657710703
9441814163625510
10102213221323203
112a62842481aa51
12b569735017283
134505885bacc43
141b3520968192b
15bc3c017e08a3
hex5cf65ebf91c3

102213221323203 has 48 divisors (see below), whose sum is σ = 156190102307200. Its totient is φ = 64232635098240.

The previous prime is 102213221323201. The next prime is 102213221323211. The reversal of 102213221323203 is 302323122312201.

102213221323203 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 322 + 13 + 2 + 320 + 3 = 666.

It is not a de Polignac number, because 102213221323203 - 21 = 102213221323201 is a prime.

It is a super-2 number, since 2×1022132213232032 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213221323201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135613476 + ... + 136365102.

Almost surely, 2102213221323203 is an apocalyptic number.

102213221323203 is a deficient number, since it is larger than the sum of its proper divisors (53976880983997).

102213221323203 is a wasteful number, since it uses less digits than its factorization.

102213221323203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755632 (or 755629 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102213221323203 its reverse (302323122312201), we get a palindrome (404536343635404).

The spelling of 102213221323203 in words is "one hundred two trillion, two hundred thirteen billion, two hundred twenty-one million, three hundred twenty-three thousand, two hundred three".

Divisors: 1 3 9 19 57 171 211 633 1899 3769 4009 11307 12027 33921 36081 71611 214833 644499 751627 795259 2254881 2385777 6764643 7157331 14280913 15109921 42842739 45329763 128528217 135989289 158593297 475779891 1427339673 2832882163 3013272643 8498646489 9039817929 25495939467 27119453787 53824761097 161474283291 484422849873 597738136393 1793214409179 5379643227537 11357024591467 34071073774401 102213221323203