Search a number
-
+
1120111120020 = 223529643742023
BaseRepresentation
bin10000010011001011110…
…100110100111010010100
310222002012110200111222210
4100103023310310322110
5121322441421320040
62214323312353420
7143632253266344
oct20231364647224
93862173614883
101120111120020
113a2044587142
12161102b45870
138181a4baca9
143c2dc436d24
151e20b36b480
hex104cbd34e94

1120111120020 has 48 divisors (see below), whose sum is σ = 3244459800960. Its totient is φ = 288396425856.

The previous prime is 1120111120013. The next prime is 1120111120033. The reversal of 1120111120020 is 200211110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120111119978 and 1120111120005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 321869272 + ... + 321872751.

It is an arithmetic number, because the mean of its divisors is an integer number (67592912520).

Almost surely, 21120111120020 is an apocalyptic number.

1120111120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120111120020 is an abundant number, since it is smaller than the sum of its proper divisors (2124348680940).

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

1120111120020 is a wasteful number, since it uses less digits than its factorization.

1120111120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643742064 (or 643742062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1120111120020 its reverse (200211110211), we get a palindrome (1320322230231).

The spelling of 1120111120020 in words is "one trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 643742023 1287484046 1931226069 2574968092 3218710115 3862452138 6437420230 7724904276 9656130345 12874840460 18668518667 19312260690 37337037334 38624521380 56005556001 74674074668 93342593335 112011112002 186685186670 224022224004 280027780005 373370373340 560055560010 1120111120020