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11100011000010 = 23517411015255911
BaseRepresentation
bin1010000110000110110000…
…1101100111000011001010
31110022011001211222212201220
42201201230031213003022
52423330310304000020
635335135154222510
72223643422514662
oct241415415470312
943264054885656
1011100011000010
11359a540918529
1212b330b284a36
1362695a2b557a
142a5359c5b1a2
15143b0b868240
hexa186c3670ca

11100011000010 has 128 divisors (see below), whose sum is σ = 29181159802368. Its totient is φ = 2691025920000.

The previous prime is 11100011000009. The next prime is 11100011000053. The reversal of 11100011000010 is 1000011000111.

Adding to 11100011000010 its reverse (1000011000111), we get a palindrome (12100022000121).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 516046 + ... + 4739865.

It is an arithmetic number, because the mean of its divisors is an integer number (227977810956).

Almost surely, 211100011000010 is an apocalyptic number.

11100011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100011000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14590579901184).

11100011000010 is an abundant number, since it is smaller than the sum of its proper divisors (18081148802358).

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

11100011000010 is a wasteful number, since it uses less digits than its factorization.

11100011000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256080.

The product of its (nonzero) digits is 1, while the sum is 6.

The spelling of 11100011000010 in words is "eleven trillion, one hundred billion, eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 101 102 123 170 202 205 246 255 303 410 505 510 606 615 697 1010 1230 1394 1515 1717 2091 3030 3434 3485 4141 4182 5151 6970 8282 8585 10302 10455 12423 17170 20705 20910 24846 25755 41410 51510 62115 70397 124230 140794 211191 351985 422382 703970 1055955 2111910 5255911 10511822 15767733 26279555 31535466 52559110 78838665 89350487 157677330 178700974 215492351 268051461 430984702 446752435 530847011 536102922 646477053 893504870 1061694022 1077461755 1292954106 1340257305 1592541033 2154923510 2654235055 2680514610 3185082066 3232385265 3663369967 5308470110 6464770530 7326739934 7962705165 9024399187 10990109901 15925410330 18048798374 18316849835 21764727451 21980219802 27073197561 36633699670 43529454902 45121995935 54146395122 54950549505 65294182353 90243991870 108823637255 109901099010 130588364706 135365987805 217647274510 270731975610 326470911765 370000366667 652941823530 740000733334 1110001100001 1850001833335 2220002200002 3700003666670 5550005500005 11100011000010