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1001120430000 = 2435433370681
BaseRepresentation
bin11101001000101110110…
…11010111011110110000
310112201001210201011111110
432210113123113132300
5112400243312230000
62043524113113320
7132220461151545
oct16442733273660
93481053634443
101001120430000
113566334245a9
12142035258840
1373536450582
1436651182bcc
151b094cd5850
hexe9176d77b0

1001120430000 has 100 divisors (see below), whose sum is σ = 3231750327608. Its totient is φ = 266965440000.

The previous prime is 1001120429971. The next prime is 1001120430019. The reversal of 1001120430000 is 340211001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16655341 + ... + 16715340.

Almost surely, 21001120430000 is an apocalyptic number.

1001120430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120430000 is an abundant number, since it is smaller than the sum of its proper divisors (2230629897608).

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

1001120430000 is an equidigital number, since it uses as much as digits as its factorization.

1001120430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370712 (or 33370691 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1001120430000 its reverse (340211001), we get a palindrome (1001460641001).

The spelling of 1001120430000 in words is "one trillion, one billion, one hundred twenty million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 33370681 66741362 100112043 133482724 166853405 200224086 266965448 333706810 400448172 500560215 533930896 667413620 800896344 834267025 1001120430 1334827240 1601792688 1668534050 2002240860 2502801075 2669654480 3337068100 4004481720 4171335125 5005602150 6674136200 8008963440 8342670250 10011204300 12514005375 13348272400 16685340500 20022408600 20856675625 25028010750 33370681000 40044817200 41713351250 50056021500 62570026875 66741362000 83426702500 100112043000 125140053750 166853405000 200224086000 250280107500 333706810000 500560215000 1001120430000