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1001300100012 = 2232127219007021
BaseRepresentation
bin11101001001000100010…
…00110000001110101100
310112201112022210100102100
432210202020300032230
5112401130311200022
62043554012055100
7132225102264042
oct16444210601654
93481468710370
101001300100012
11356715891313
12142085464490
137356473a1a4
143666ad92392
151b0a59761ac
hexe9222303ac

1001300100012 has 36 divisors (see below), whose sum is σ = 2550993792256. Its totient is φ = 331138614240.

The previous prime is 1001300100007. The next prime is 1001300100023. The reversal of 1001300100012 is 2100010031001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001300099967 and 1001300100003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109498939 + ... + 109508082.

Almost surely, 21001300100012 is an apocalyptic number.

1001300100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001300100012 is an abundant number, since it is smaller than the sum of its proper divisors (1549693692244).

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

1001300100012 is a wasteful number, since it uses less digits than its factorization.

1001300100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219007158 (or 219007153 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001300100012 its reverse (2100010031001), we get a palindrome (3101310131013).

The spelling of 1001300100012 in words is "one trillion, one billion, three hundred million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 219007021 438014042 657021063 876028084 1314042126 1971063189 2628084252 3942126378 7884252756 27813891667 55627783334 83441675001 111255566668 166883350002 250325025003 333766700004 500650050006 1001300100012