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1012004001300 = 2235229116322299
BaseRepresentation
bin11101011101000000010…
…00111001011000010100
310120202011022001212120210
432232200020321120110
5113040041011020200
62052524101525420
7133054255036245
oct16564010713024
93522138055523
101012004001300
1136020896a826
12144172113870
137457c2016a6
1436da47c6ccc
151b4d0527650
hexeba0239614

1012004001300 has 72 divisors (see below), whose sum is σ = 3029032692000. Its totient is φ = 260561947520.

The previous prime is 1012004001299. The next prime is 1012004001317. The reversal of 1012004001300 is 31004002101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58152450 + ... + 58169849.

It is an arithmetic number, because the mean of its divisors is an integer number (42069898500).

Almost surely, 21012004001300 is an apocalyptic number.

1012004001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012004001300 is an abundant number, since it is smaller than the sum of its proper divisors (2017028690700).

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

1012004001300 is a wasteful number, since it uses less digits than its factorization.

1012004001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116322345 (or 116322338 counting only the distinct ones).

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

Adding to 1012004001300 its reverse (31004002101), we get a palindrome (1043008003401).

The spelling of 1012004001300 in words is "one trillion, twelve billion, four million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 116322299 232644598 348966897 465289196 581611495 697933794 1163222990 1395867588 1744834485 2326445980 2908057475 3373346671 3489668970 5816114950 6746693342 6979337940 8724172425 10120040013 11632229900 13493386684 16866733355 17448344850 20240080026 33733466710 34896689700 40480160052 50600200065 67466933420 84333666775 101200400130 168667333550 202400800260 253001000325 337334667100 506002000650 1012004001300