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313340122011 = 371719149389797
BaseRepresentation
bin1001000111101001000…
…01101101001110011011
31002221210012201102220010
410203310201231032123
520113210032401021
6355540234133003
731431601043340
oct4436441551633
91087705642803
10313340122011
1111098336a424
1250888b81163
1323717808627
1411246b267c7
15823d8e7976
hex48f486d39b

313340122011 has 128 divisors (see below), whose sum is σ = 537788160000. Its totient is φ = 157972045824.

The previous prime is 313340122003. The next prime is 313340122037. The reversal of 313340122011 is 110221043313.

313340122011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 313340122011 - 23 = 313340122003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (313340122091) 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, 393149065 + ... + 393149861.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470000).

Almost surely, 2313340122011 is an apocalyptic number.

313340122011 is a deficient number, since it is larger than the sum of its proper divisors (224448037989).

313340122011 is a wasteful number, since it uses less digits than its factorization.

313340122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313340122011 its reverse (110221043313), we get a palindrome (423561165324).

The spelling of 313340122011 in words is "three hundred thirteen billion, three hundred forty million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 7 17 19 21 51 57 119 133 149 323 357 389 399 447 797 969 1043 1167 2261 2391 2533 2723 2831 3129 5579 6613 6783 7391 7599 8169 8493 13549 15143 16737 17731 19817 19839 22173 40647 45429 46291 48127 51737 53193 57961 59451 94843 106001 118753 125647 138873 144381 155211 173883 257431 284529 310033 318003 336889 356259 376941 405727 772293 831271 879529 930099 985337 1010667 1101259 1217181 1802017 2018801 2170231 2256307 2493813 2638587 2956011 3303777 5270561 5406051 5890627 6056403 6510693 6768921 6897359 7708813 14131607 15794149 15811683 17671881 18721403 20692077 23126439 36893927 38357219 41234389 42394821 46194917 47382447 56164209 100140659 110681781 115071657 123703167 131049821 138584751 268500533 300421977 323364419 393149463 700984613 785313589 805501599 877703423 970093257 2102953839 2355940767 2633110269 5497195123 6143923961 14920958191 16491585369 18431771883 44762874573 104446707337 313340122011