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11003123021000 = 235311290934901
BaseRepresentation
bin1010000000011101110100…
…1111010011010011001000
31102221212222120011120201212
42200013131033103103020
52420233343443133000
635222433120432252
72213643434341655
oct240073517232310
942855876146655
1011003123021000
113562442104900
12129858b778688
1361a78944c586
142a07a8242c2c
1514133a94dc35
hexa01dd3d34c8

11003123021000 has 96 divisors (see below), whose sum is σ = 28300760200440. Its totient is φ = 4001135600000.

The previous prime is 11003123020979. The next prime is 11003123021071. The reversal of 11003123021000 is 12032130011.

It can be written as a sum of positive squares in 4 ways, for example, as 1824125762404 + 9178997258596 = 1350602^2 + 3029686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45346451 + ... + 45588450.

Almost surely, 211003123021000 is an apocalyptic number.

11003123021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003123021000 is an abundant number, since it is smaller than the sum of its proper divisors (17297637179440).

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

11003123021000 is a wasteful number, since it uses less digits than its factorization.

11003123021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90934944 (or 90934919 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11003123021000 its reverse (12032130011), we get a palindrome (11015155151011).

The spelling of 11003123021000 in words is "eleven trillion, three billion, one hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 90934901 181869802 363739604 454674505 727479208 909349010 1000283911 1818698020 2000567822 2273372525 3637396040 4001135644 4546745050 5001419555 8002271288 9093490100 10002839110 11003123021 11366862625 18186980200 20005678220 22006246042 22733725250 25007097775 40011356440 44012492084 45467450500 50014195550 55015615105 88024984168 90934901000 100028391100 110031230210 125035488875 200056782200 220062460420 250070977750 275078075525 440124920840 500141955500 550156151050 1000283911000 1100312302100 1375390377625 2200624604200 2750780755250 5501561510500 11003123021000