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11000220101000 = 235313846170777
BaseRepresentation
bin1010000000010011000000…
…1101100010100110001000
31102221121111020210222010022
42200010300031202212020
52420211422321213000
635221233101040012
72213511465050234
oct240046015424610
942847436728108
1011000220101000
113561192521069
121297abb556008
1361a415bc8730
142a05b08ab5c4
1514121ab84585
hexa0130362988

11000220101000 has 64 divisors (see below), whose sum is σ = 27720554687280. Its totient is φ = 4061619724800.

The previous prime is 11000220100973. The next prime is 11000220101011. The reversal of 11000220101000 is 10102200011.

It can be written as a sum of positive squares in 8 ways, for example, as 49931690116 + 10950288410884 = 223454^2 + 3309122^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423072389 + ... + 423098388.

Almost surely, 211000220101000 is an apocalyptic number.

11000220101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000220101000 is an abundant number, since it is smaller than the sum of its proper divisors (16720334586280).

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

11000220101000 is a wasteful number, since it uses less digits than its factorization.

11000220101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846170811 (or 846170797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000220101000 its reverse (10102200011), we get a palindrome (11010322301011).

The spelling of 11000220101000 in words is "eleven trillion, two hundred twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 846170777 1692341554 3384683108 4230853885 6769366216 8461707770 11000220101 16923415540 21154269425 22000440202 33846831080 42308538850 44000880404 55001100505 84617077700 88001760808 105771347125 110002201010 169234155400 211542694250 220004402020 275005502525 423085388500 440008804040 550011005050 846170777000 1100022010100 1375027512625 2200044020200 2750055025250 5500110050500 11000220101000