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102111222212120 = 235111012297732273
BaseRepresentation
bin10111001101111010011111…
…001000001010011000011000
3111101112201220122101011110102
4113031322133020022120120
5101340442240341241440
61001101125313434532
730336202163640362
oct2715723710123030
9441481818334412
10102111222212120
112a5991429a5130
12b551a0986ba48
1344c907c177944
141b302d0d17d32
15bc1231d1bb15
hex5cde9f20a618

102111222212120 has 64 divisors (see below), whose sum is σ = 253118187303840. Its totient is φ = 36763716352000.

The previous prime is 102111222212119. The next prime is 102111222212137. The reversal of 102111222212120 is 21212222111201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102111222212092 and 102111222212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148821697 + ... + 1148910576.

Almost surely, 2102111222212120 is an apocalyptic number.

102111222212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111222212120 is an abundant number, since it is smaller than the sum of its proper divisors (151006965091720).

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

102111222212120 is a wasteful number, since it uses less digits than its factorization.

102111222212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297732396 (or 2297732392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102111222212120 its reverse (21212222111201), we get a palindrome (123323444323321).

It can be divided in two parts, 1021112 and 22212120, that added together give a palindrome (23233232).

The spelling of 102111222212120 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 2297732273 4595464546 9190929092 11488661365 18381858184 22977322730 25275055003 45954645460 50550110006 91909290920 101100220012 126375275015 202200440024 232070959573 252750550030 464141919146 505501100060 928283838292 1011002200120 1160354797865 1856567676584 2320709595730 2552780555303 4641419191460 5105561110606 9282838382920 10211122221212 12763902776515 20422244442424 25527805553030 51055611106060 102111222212120