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1011100020 = 223575994019
BaseRepresentation
bin111100010001000…
…010100101110100
32121110120012110220
4330101002211310
54032320200040
6244155214340
734025131320
oct7421024564
92543505426
101011100020
11479815457
122427473b0
13131625648
14983da980
155db752d0
hex3c442974

1011100020 has 96 divisors (see below), whose sum is σ = 3241728000. Its totient is φ = 230665344.

The previous prime is 1011100019. The next prime is 1011100043. The reversal of 1011100020 is 200011101.

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.

It is a junction number, because it is equal to n+sod(n) for n = 1011099981 and 1011100008.

It is a congruent number.

It is an unprimeable number.

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, 249571 + ... + 253589.

It is an arithmetic number, because the mean of its divisors is an integer number (33768000).

Almost surely, 21011100020 is an apocalyptic number.

1011100020 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 1011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620864000).

1011100020 is an abundant number, since it is smaller than the sum of its proper divisors (2230627980).

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

1011100020 is a wasteful number, since it uses less digits than its factorization.

1011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1011100020 is about 31797.7989804326. The cubic root of 1011100020 is about 1003.6864004198.

Adding to 1011100020 its reverse (200011101), we get a palindrome (1211111121).

The spelling of 1011100020 in words is "one billion, eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 599 1198 1797 2396 2995 3594 4019 4193 5990 7188 8038 8386 8985 11980 12057 12579 16076 16772 17970 20095 20965 24114 25158 28133 35940 40190 41930 48228 50316 56266 60285 62895 80380 83860 84399 112532 120570 125790 140665 168798 241140 251580 281330 337596 421995 562660 843990 1687980 2407381 4814762 7222143 9629524 12036905 14444286 16851667 24073810 28888572 33703334 36110715 48147620 50555001 67406668 72221430 84258335 101110002 144442860 168516670 202220004 252775005 337033340 505550010 1011100020