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1022110211120 = 24527746124107
BaseRepresentation
bin11101101111110101000…
…01000001110000110000
310121201020121200112012012
432313322201001300300
5113221240203223440
62101315001022052
7133562562305645
oct16677241016060
93551217615165
101022110211120
11364524627849
12146112784928
13754ccbc7cbb
1437682ab5dcc
151b8c28b4e65
hexedfa841c30

1022110211120 has 40 divisors (see below), whose sum is σ = 2384985376464. Its totient is φ = 407368104192.

The previous prime is 1022110211117. The next prime is 1022110211159. The reversal of 1022110211120 is 211120112201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1022110211095 and 1022110211104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23039894 + ... + 23084213.

Almost surely, 21022110211120 is an apocalyptic number.

1022110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022110211120 is an abundant number, since it is smaller than the sum of its proper divisors (1362875165344).

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

1022110211120 is a wasteful number, since it uses less digits than its factorization.

1022110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46124397 (or 46124391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022110211120 its reverse (211120112201), we get a palindrome (1233230323321).

The spelling of 1022110211120 in words is "one trillion, twenty-two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 2216 2770 4432 5540 11080 22160 46124107 92248214 184496428 230620535 368992856 461241070 737985712 922482140 1844964280 3689928560 12776377639 25552755278 51105510556 63881888195 102211021112 127763776390 204422042224 255527552780 511055105560 1022110211120