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1022022211120 = 24546127712099
BaseRepresentation
bin11101101111101010100…
…01010101011000110000
310121201000111002122212221
432313311101111120300
5113221100141223440
62101302134530424
7133560443313121
oct16676521253060
93551014078787
101022022211120
11364489992079
121460a9206a14
13754b78c64b1
143767512a048
151b8b9cd0d4a
hexedf5455630

1022022211120 has 40 divisors (see below), whose sum is σ = 2381356177200. Its totient is φ = 407922082560.

The previous prime is 1022022211109. The next prime is 1022022211127. The reversal of 1022022211120 is 211122202201.

It is a happy number.

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

It is a super-2 number, since 2×10220222111202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1022022211094 and 1022022211103.

It is not an unprimeable number, because it can be changed into a prime (1022022211127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13819170 + ... + 13892929.

It is an arithmetic number, because the mean of its divisors is an integer number (59533904430).

Almost surely, 21022022211120 is an apocalyptic number.

1022022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022022211120 is an abundant number, since it is smaller than the sum of its proper divisors (1359333966080).

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

1022022211120 is a wasteful number, since it uses less digits than its factorization.

1022022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27712573 (or 27712567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022022211120 its reverse (211122202201), we get a palindrome (1233144413321).

The spelling of 1022022211120 in words is "one trillion, twenty-two billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 461 922 1844 2305 3688 4610 7376 9220 18440 36880 27712099 55424198 110848396 138560495 221696792 277120990 443393584 554241980 1108483960 2216967920 12775277639 25550555278 51101110556 63876388195 102202221112 127752776390 204404442224 255505552780 511011105560 1022022211120