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1111011020020 = 2251183290320959
BaseRepresentation
bin10000001010101101011…
…010101100110011110100
310221012201021020112121001
4100022231122230303310
5121200322310120040
62210220313533044
7143160613565506
oct20125532546364
93835637215531
101111011020020
113991a4836340
1215b3a3414184
13809ca090835
143bab7a05d76
151dd774ba59a
hex102ad6accf4

1111011020020 has 96 divisors (see below), whose sum is σ = 2576900874240. Its totient is φ = 398979960960.

The previous prime is 1111011020017. The next prime is 1111011020023. The reversal of 1111011020020 is 200201101111.

It is an interprime number because it is at equal distance from previous prime (1111011020017) and next prime (1111011020023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1111011019979 and 1111011020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111011020023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52998301 + ... + 53019259.

It is an arithmetic number, because the mean of its divisors is an integer number (26842717440).

Almost surely, 21111011020020 is an apocalyptic number.

1111011020020 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 1111011020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288450437120).

1111011020020 is an abundant number, since it is smaller than the sum of its proper divisors (1465889854220).

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

1111011020020 is a wasteful number, since it uses less digits than its factorization.

1111011020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23965 (or 23963 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111011020020 its reverse (200201101111), we get a palindrome (1311212121131).

The spelling of 1111011020020 in words is "one trillion, one hundred eleven billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 2903 3652 4565 5806 9130 11612 14515 18260 20959 29030 31933 41918 58060 63866 83836 104795 127732 159665 209590 230549 240949 319330 419180 461098 481898 638660 922196 963796 1152745 1204745 1739597 2305490 2409490 2650439 3479194 4610980 4818980 5300878 6958388 8697985 10601756 13252195 17395970 19135567 26504390 34791940 38271134 53008780 60843977 76542268 95677835 121687954 191355670 243375908 304219885 382711340 608439770 669283747 1216879540 1338567494 2677134988 3346418735 5050050091 6692837470 10100100182 13385674940 20200200364 25250250455 50500500910 55550551001 101001001820 111101102002 222202204004 277752755005 555505510010 1111011020020