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1100020020 = 2235111798041
BaseRepresentation
bin100000110010000…
…1111100100110100
32211122212210210020
41001210033210310
54223101120040
6301053125140
736155005311
oct10144174464
92748783706
101100020020
11514a29360
122684897b0
13146b89b28
14a6145d08
156688bcd0
hex4190f934

1100020020 has 96 divisors (see below), whose sum is σ = 3557748096. Its totient is φ = 250982400.

The previous prime is 1100019961. The next prime is 1100020021. The reversal of 1100020020 is 200200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1100020020 is a modest number, since divided by 20020 gives 1100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1100019990 and 1100020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37801 + ... + 60240.

It is an arithmetic number, because the mean of its divisors is an integer number (37059876).

Almost surely, 21100020020 is an apocalyptic number.

1100020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100020020 is an abundant number, since it is smaller than the sum of its proper divisors (2457728076).

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

1100020020 is a wasteful number, since it uses less digits than its factorization.

1100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98081 (or 98079 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1100020020 is about 33166.5497150367. The cubic root of 1100020020 is about 1032.2863779177.

Adding to 1100020020 its reverse (200200011), we get a palindrome (1300220031).

Subtracting from 1100020020 its reverse (200200011), we obtain a square (899820009 = 299972).

The spelling of 1100020020 in words is "one billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 98041 196082 294123 392164 490205 588246 980410 1078451 1176492 1470615 1666697 1960820 2156902 2941230 3235353 3333394 4313804 5000091 5392255 5882460 6470706 6666788 8333485 10000182 10784510 12941412 16176765 16666970 18333667 20000364 21569020 25000455 32353530 33333940 36667334 50000910 55001001 64707060 73334668 91668335 100001820 110002002 183336670 220004004 275005005 366673340 550010010 1100020020