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2100220212222 = 2331127113046953
BaseRepresentation
bin11110100011111110111…
…000010011001111111110
321102210000221212010121000
4132203332320103033332
5233402222333242342
64244454451551130
7304510262152506
oct36437670231776
97383027763530
102100220212222
1173a775614660
1229b0535bb4a6
13123085886cb2
1473918c74a06
153997171544c
hex1e8fee133fe

2100220212222 has 64 divisors (see below), whose sum is σ = 5110230942720. Its totient is φ = 634081867200.

The previous prime is 2100220212179. The next prime is 2100220212239. The reversal of 2100220212222 is 2222120220012.

2100220212222 is a `hidden beast` number, since 2 + 10 + 0 + 220 + 212 + 222 = 666.

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 = 2100220212195 and 2100220212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6362503 + ... + 6684450.

It is an arithmetic number, because the mean of its divisors is an integer number (79847358480).

Almost surely, 22100220212222 is an apocalyptic number.

2100220212222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2100220212222 is an abundant number, since it is smaller than the sum of its proper divisors (3010010730498).

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

2100220212222 is a wasteful number, since it uses less digits than its factorization.

2100220212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047246 (or 13047240 counting only the distinct ones).

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

Adding to 2100220212222 its reverse (2222120220012), we get a palindrome (4322340432234).

The spelling of 2100220212222 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 271 297 542 594 813 1626 2439 2981 4878 5962 7317 8943 14634 17886 26829 53658 80487 160974 13046953 26093906 39140859 78281718 117422577 143516483 234845154 287032966 352267731 430549449 704535462 861098898 1291648347 2583296694 3535724263 3874945041 7071448526 7749890082 10607172789 21214345578 31821518367 38892966893 63643036734 77785933786 95464555101 116678900679 190929110202 233357801358 350036702037 700073404074 1050110106111 2100220212222