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320113223002320 = 243511294181207197
BaseRepresentation
bin100100011001001000010101…
…0111100011110100011010000
31112222102112011220110112220020
41020302100222330132203100
5313424213340042033240
63052453552352143440
7124266263040244446
oct11062205274364320
91488375156415806
10320113223002320
1192aa828a060a50
122baa0106837b80
13109807168490c7
1459097c3d2cb96
152701d2d7310d0
hex123242af1e8d0

320113223002320 has 160 divisors (see below), whose sum is σ = 1119894535912320. Its totient is φ = 74927232952320.

The previous prime is 320113223002319. The next prime is 320113223002367. The reversal of 320113223002320 is 23200322311023.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2090527039 + ... + 2090680158.

It is an arithmetic number, because the mean of its divisors is an integer number (6999340849452).

Almost surely, 2320113223002320 is an apocalyptic number.

320113223002320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320113223002320 is an abundant number, since it is smaller than the sum of its proper divisors (799781312910000).

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

320113223002320 is a wasteful number, since it uses less digits than its factorization.

320113223002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181207253 (or 4181207247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 320113223002320 its reverse (23200322311023), we get a palindrome (343313545313343).

The spelling of 320113223002320 in words is "three hundred twenty trillion, one hundred thirteen billion, two hundred twenty-three million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 4181207197 8362414394 12543621591 16724828788 20906035985 25087243182 33449657576 41812071970 45993279167 50174486364 62718107955 66899315152 83624143940 91986558334 100348972728 121255008713 125436215910 137979837501 167248287880 183973116668 200697945456 229966395835 242510017426 250872431820 275959675002 334496575760 363765026139 367946233336 459932791670 485020034852 501744863640 551919350004 606275043565 689899187505 727530052278 735892466672 919865583340 970040069704 1003489727280 1103838700008 1212550087130 1333805095843 1379798375010 1455060104556 1818825130695 1839731166680 1940080139408 2207677400016 2425100174260 2667610191686 2759596750020 2910120209112 3637650261390 3679462333360 4001415287529 4850200348520 5335220383372 5519193500040 5820240418224 6669025479215 7275300522780 8002830575058 9700400697040 10670440766744 11038387000080 13338050958430 14550601045560 16005661150116 20007076437645 21340881533488 26676101916860 29101202091120 32011322300232 40014152875290 53352203833720 64022644600464 80028305750580 106704407667440 160056611501160 320113223002320