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1313001300219 = 372347612274177
BaseRepresentation
bin10011000110110100111…
…110011110000011111011
311122112002022120221020220
4103012310332132003323
5133003011313101334
62443103502351123
7163601252622630
oct23066476360373
94575068527226
101313001300219
11466928005504
1219257558b4a3
1396a7a832bab
144779a172187
152424a532449
hex131b4f9e0fb

1313001300219 has 128 divisors (see below), whose sum is σ = 2177195507712. Its totient is φ = 687672944640.

The previous prime is 1313001300179. The next prime is 1313001300227. The reversal of 1313001300219 is 9120031003131.

It is not a de Polignac number, because 1313001300219 - 220 = 1313000251643 is a prime.

It is a super-2 number, since 2×13130013002192 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313001300239) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314338659 + ... + 314342835.

It is an arithmetic number, because the mean of its divisors is an integer number (17009339904).

Almost surely, 21313001300219 is an apocalyptic number.

1313001300219 is a deficient number, since it is larger than the sum of its proper divisors (864194207493).

1313001300219 is a wasteful number, since it uses less digits than its factorization.

1313001300219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545.

The product of its (nonzero) digits is 486, while the sum is 24.

The spelling of 1313001300219 in words is "one trillion, three hundred thirteen billion, one million, three hundred thousand, two hundred nineteen".

Divisors: 1 3 7 21 23 47 61 69 141 161 183 227 329 427 483 681 987 1081 1281 1403 1589 2867 3243 4177 4209 4767 5221 7567 8601 9821 10669 12531 13847 15663 20069 22701 29239 29463 32007 36547 41541 60207 65941 74683 87717 96071 96929 109641 196319 197823 224049 245387 254797 288213 290787 318481 461587 588957 650809 672497 736161 764391 948179 955443 1374233 1384761 1717709 1783579 1952427 2017491 2229367 2844537 4122699 4515337 4555663 5153127 5350737 5860331 6637253 6688101 11975459 13546011 13666989 14968607 17580993 19911759 21808117 31607359 35926377 41022317 44564413 44905821 57838919 65424351 83828213 94822077 104780249 123066951 133693239 152656819 173516757 251484639 275435557 311950891 314340747 404872433 457970457 826306671 935852673 1024981499 1214617299 1330295137 1928048899 2718429193 3074944497 3990885411 5784146697 7174870493 8155287579 9312065959 19029004351 21524611479 27936197877 57087013053 62523871439 187571614317 437667100073 1313001300219