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1001301013212 = 223417128664291
BaseRepresentation
bin11101001001000100011…
…00001111001011011100
310112201112101111202002120
432210202030033023130
5112401131024410322
62043554043422540
7132225113116323
oct16444214171334
93481471452076
101001301013212
11356716355425
12142085824a50
1373564999a46
143666b14d0ba
151b0a5aa6a5c
hexe92230f2dc

1001301013212 has 48 divisors (see below), whose sum is σ = 2427062932224. Its totient is φ = 321040048000.

The previous prime is 1001301013201. The next prime is 1001301013241. The reversal of 1001301013212 is 2123101031001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001301013191 and 1001301013200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14297214 + ... + 14367077.

It is an arithmetic number, because the mean of its divisors is an integer number (50563811088).

Almost surely, 21001301013212 is an apocalyptic number.

1001301013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001301013212 is an abundant number, since it is smaller than the sum of its proper divisors (1425761919012).

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

1001301013212 is a wasteful number, since it uses less digits than its factorization.

1001301013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28664410 (or 28664408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001301013212 its reverse (2123101031001), we get a palindrome (3124402044213).

The spelling of 1001301013212 in words is "one trillion, one billion, three hundred one million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 71 82 123 142 164 213 246 284 426 492 852 2911 5822 8733 11644 17466 34932 28664291 57328582 85992873 114657164 171985746 343971492 1175235931 2035164661 2350471862 3525707793 4070329322 4700943724 6105493983 7051415586 8140658644 12210987966 14102831172 24421975932 83441751101 166883502202 250325253303 333767004404 500650506606 1001301013212