Search a number
-
+
321112130331300 = 2235271113900958023
BaseRepresentation
bin100100100000011001011111…
…0011101100010001010100100
31120002222000112110211112112020
41021000302332131202022210
5314042100120331100200
63054540513131023140
7124431404636403630
oct11100627635421244
91502860473745466
10321112130331300
1193352987217a40
123002182289aab0
1310a2398962bb39
145941ca51c3dc0
15271cce40acea0
hex1240cbe7622a4

321112130331300 has 144 divisors (see below), whose sum is σ = 1158339030223872. Its totient is φ = 66724598505600.

The previous prime is 321112130331287. The next prime is 321112130331313. The reversal of 321112130331300 is 3133031211123.

It is an interprime number because it is at equal distance from previous prime (321112130331287) and next prime (321112130331313).

It is a super-2 number, since 2×3211121303313002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6950455912 + ... + 6950502111.

Almost surely, 2321112130331300 is an apocalyptic number.

321112130331300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321112130331300 is an abundant number, since it is smaller than the sum of its proper divisors (837226899892572).

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

321112130331300 is a wasteful number, since it uses less digits than its factorization.

321112130331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900958058 (or 13900958051 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 321112130331300 its reverse (3133031211123), we get a palindrome (324245161542423).

The spelling of 321112130331300 in words is "three hundred twenty-one trillion, one hundred twelve billion, one hundred thirty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 13900958023 27801916046 41702874069 55603832092 69504790115 83405748138 97306706161 139009580230 152910538253 166811496276 194613412322 208514370345 278019160460 291920118483 305821076506 347523950575 389226824644 417028740690 458731614759 486533530805 583840236966 611642153012 695047901150 764552691265 834057481380 917463229518 973067061610 1042571851725 1070373767771 1167680473932 1390095802300 1459600592415 1529105382530 1834926459036 1946134123220 2085143703450 2140747535542 2293658073795 2432667654025 2919201184830 3058210765060 3211121303313 3822763456325 4170287406900 4281495071084 4587316147590 4865335308050 5351868838855 5838402369660 6422242606626 7298002962075 7645526912650 9174632295180 9730670616100 10703737677710 11468290368975 12844485213252 14596005924150 15291053825300 16055606516565 21407475355420 22936580737950 26759344194275 29192011848300 32111213033130 45873161475900 53518688388550 64222426066260 80278032582825 107037376777100 160556065165650 321112130331300