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310144013344220 = 2251119541137148119
BaseRepresentation
bin100011010000100110000011…
…1101111101001110111011100
31111200010110220112200201201012
41012201030013233221313130
5311122344414404003340
63015342105351034352
7122220110526305606
oct10641140757516734
91450113815621635
10310144013344220
118a904379105590
122a94bba266b9b8
13104095bb736803
14568309c1bc176
1525cc8569d2565
hex11a1307be9ddc

310144013344220 has 96 divisors (see below), whose sum is σ = 749289552883200. Its totient is φ = 106646376556800.

The previous prime is 310144013344211. The next prime is 310144013344241. The reversal of 310144013344220 is 22443310441013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66312680 + ... + 70835439.

It is an arithmetic number, because the mean of its divisors is an integer number (7805099509200).

Almost surely, 2310144013344220 is an apocalyptic number.

It is an amenable number.

310144013344220 is an abundant number, since it is smaller than the sum of its proper divisors (439145539538980).

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

310144013344220 is a wasteful number, since it uses less digits than its factorization.

310144013344220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137148699 (or 137148697 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 310144013344220 its reverse (22443310441013), we get a palindrome (332587323785233).

The spelling of 310144013344220 in words is "three hundred ten trillion, one hundred forty-four billion, thirteen million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 541 836 1045 1082 2090 2164 2705 4180 5410 5951 10279 10820 11902 20558 23804 29755 41116 51395 59510 102790 113069 119020 205580 226138 452276 565345 1130690 2261380 137148119 274296238 548592476 685740595 1371481190 1508629309 2605814261 2742962380 3017258618 5211628522 6034517236 7543146545 10423257044 13029071305 15086293090 26058142610 28663956871 30172586180 52116285220 57327913742 74197132379 114655827484 143319784355 148394264758 286639568710 296788529516 370985661895 573279137420 741971323790 816168456169 1409745515201 1483942647580 1632336912338 2819491030402 3264673824676 4080842280845 5638982060804 7048727576005 8161684561690 14097455152010 15507200667211 16323369123380 28194910304020 31014401334422 62028802668844 77536003336055 155072006672110 310144013344220