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11000020020 = 22351123724639
BaseRepresentation
bin10100011111010011…
…01111110000110100
31001101121110220200220
422033221233300310
5140012001120040
65015304334340
7536406425133
oct121751576064
931347426626
1011000020020
114735251940
12216ba743b0
131063c337b2
14764cb791a
15445a952d0
hex28fa6fc34

11000020020 has 96 divisors (see below), whose sum is σ = 35060981760. Its totient is φ = 2550725760.

The previous prime is 11000019977. The next prime is 11000020021. The reversal of 11000020020 is 2002000011.

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.

11000020020 is a modest number, since divided by 20020 gives 11000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11000019990 and 11000020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000020021) 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, 347140 + ... + 377499.

It is an arithmetic number, because the mean of its divisors is an integer number (365218560).

Almost surely, 211000020020 is an apocalyptic number.

11000020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000020020 is an abundant number, since it is smaller than the sum of its proper divisors (24060961740).

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

11000020020 is a wasteful number, since it uses less digits than its factorization.

11000020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724685 (or 724683 counting only the distinct ones).

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

Adding to 11000020020 its reverse (2002000011), we get a palindrome (13002020031).

The spelling of 11000020020 in words is "eleven billion, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 724639 1449278 2173917 2898556 3623195 4347834 7246390 7971029 8695668 10869585 14492780 15942058 16666697 21739170 23913087 31884116 33333394 39855145 43478340 47826174 50000091 66666788 79710290 83333485 95652348 100000182 119565435 159420580 166666970 183333667 200000364 239130870 250000455 333333940 366667334 478261740 500000910 550001001 733334668 916668335 1000001820 1100002002 1833336670 2200004004 2750005005 3666673340 5500010010 11000020020