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312001130011340 = 2257111910663059809
BaseRepresentation
bin100011011110000110110110…
…0100001100001101011001100
31111220201000110012100012210102
41012330031230201201223030
5311343311303240330330
63023323201310230232
7122501223566442230
oct10674155441415314
91456630405305712
10312001130011340
119045aa330475a0
122ababaab1b5378
1310512770c52563
145708d145265c0
152610ceaa92945
hex11bc36c861acc

312001130011340 has 96 divisors (see below), whose sum is σ = 859869143078400. Its totient is φ = 92128836741120.

The previous prime is 312001130011309. The next prime is 312001130011387. The reversal of 312001130011340 is 43110031100213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5331500645 + ... + 5331559164.

It is an arithmetic number, because the mean of its divisors is an integer number (8956970240400).

Almost surely, 2312001130011340 is an apocalyptic number.

It is an amenable number.

312001130011340 is an abundant number, since it is smaller than the sum of its proper divisors (547868013067060).

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

312001130011340 is a wasteful number, since it uses less digits than its factorization.

312001130011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663059855 (or 10663059853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312001130011340 its reverse (43110031100213), we get a palindrome (355111161111553).

The spelling of 312001130011340 in words is "three hundred twelve trillion, one billion, one hundred thirty million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 10663059809 21326119618 42652239236 53315299045 74641418663 106630598090 117293657899 149282837326 202598136371 213261196180 234587315798 298565674652 373207093315 405196272742 469174631596 586468289495 746414186630 810392545484 821055605293 1012990681855 1172936578990 1418186954597 1492828373260 1642111210586 2025981363710 2228579500081 2345873157980 2836373909194 3284222421172 4051962727420 4105278026465 4457159000162 5672747818388 7090934772985 8210556052930 8914318000324 11142897500405 14181869545970 15600056500567 16421112105860 22285795000810 28363739091940 31200113001134 44571590001620 62400226002268 78000282502835 156000565005670 312001130011340