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1110003132020 = 22523101233102539
BaseRepresentation
bin10000001001110001010…
…101111010011001110100
310221010010000201112011212
4100021301111322121310
5121141241300211040
62205532311220552
7143123624642516
oct20116125723164
93833100645155
101110003132020
11398827915152
1215b161977758
13808993211c3
143ba1dc03bb6
151dd18c7bd65
hex1027157a674

1110003132020 has 96 divisors (see below), whose sum is σ = 2467004117760. Its totient is φ = 418683161600.

The previous prime is 1110003131999. The next prime is 1110003132023. The reversal of 1110003132020 is 202313000111.

It is a junction number, because it is equal to n+sod(n) for n = 1110003131986 and 1110003132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110003132023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10773911 + ... + 10876449.

It is an arithmetic number, because the mean of its divisors is an integer number (25697959560).

Almost surely, 21110003132020 is an apocalyptic number.

1110003132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110003132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233502058880).

1110003132020 is an abundant number, since it is smaller than the sum of its proper divisors (1357000985740).

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

1110003132020 is a wasteful number, since it uses less digits than its factorization.

1110003132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102905 (or 102903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1110003132020 its reverse (202313000111), we get a palindrome (1312316132131).

The spelling of 1110003132020 in words is "one trillion, one hundred ten billion, three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 233 404 460 466 505 932 1010 1165 2020 2323 2330 4646 4660 5359 9292 10718 11615 21436 23230 23533 26795 46460 47066 53590 94132 102539 107180 117665 205078 235330 410156 470660 512695 541259 1025390 1082518 2050780 2165036 2358397 2706295 4716794 5412590 9433588 10356439 10825180 11791985 20712878 23583970 23891587 41425756 47167940 47783174 51782195 95566348 103564390 119457935 207128780 238198097 238915870 476396194 477831740 549506501 952792388 1099013002 1190990485 2198026004 2381980970 2413050287 2747532505 4763961940 4826100574 5495065010 9652201148 10990130020 12065251435 24130502870 48261005740 55500156601 111000313202 222000626404 277500783005 555001566010 1110003132020