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11021657000 = 235317363709
BaseRepresentation
bin10100100001111000…
…10010001110101000
31001110010012012001112
422100330102032220
5140033021011000
65021400205452
7540061352534
oct122074221650
931403165045
1011021657000
114746490042
122177169888
13106856b043
14767b0abc4
1544791b235
hex290f123a8

11021657000 has 64 divisors (see below), whose sum is σ = 25940163600. Its totient is φ = 4383110400.

The previous prime is 11021656999. The next prime is 11021657057. The reversal of 11021657000 is 75612011.

It can be written as a sum of positive squares in 8 ways, for example, as 338780836 + 10682876164 = 18406^2 + 103358^2 .

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, 141146 + ... + 204854.

Almost surely, 211021657000 is an apocalyptic number.

11021657000 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 11021657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970081800).

11021657000 is an abundant number, since it is smaller than the sum of its proper divisors (14918506600).

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

11021657000 is a wasteful number, since it uses less digits than its factorization.

11021657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63903 (or 63889 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 11021657000 in words is "eleven billion, twenty-one million, six hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 3460 4325 6920 8650 17300 21625 34600 43250 63709 86500 127418 173000 254836 318545 509672 637090 1274180 1592725 2548360 3185450 6370900 7963625 11021657 12741800 15927250 22043314 31854500 44086628 55108285 63709000 88173256 110216570 220433140 275541425 440866280 551082850 1102165700 1377707125 2204331400 2755414250 5510828500 11021657000