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1331200311430 = 2511233189190709
BaseRepresentation
bin10011010111110001101…
…110001100000010000110
311201021001122020111100011
4103113301232030002012
5133302244234431210
62455313414340434
7165114245643433
oct23276156140206
94637048214304
101331200311430
11473616964a40
12195bb435a71a
13986bb062692
14486051a4b8a
15249630ebd8a
hex135f1b8c086

1331200311430 has 128 divisors (see below), whose sum is σ = 2847285043200. Its totient is φ = 443052825600.

The previous prime is 1331200311401. The next prime is 1331200311433. The reversal of 1331200311430 is 341130021331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331200311433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6884916 + ... + 7075624.

It is an arithmetic number, because the mean of its divisors is an integer number (22244414400).

Almost surely, 21331200311430 is an apocalyptic number.

1331200311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331200311430 is an abundant number, since it is smaller than the sum of its proper divisors (1516084731770).

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

1331200311430 is a wasteful number, since it uses less digits than its factorization.

1331200311430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190870.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1331200311430 its reverse (341130021331), we get a palindrome (1672330332761).

The spelling of 1331200311430 in words is "one trillion, three hundred thirty-one billion, two hundred million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 23 31 46 55 62 89 110 115 155 178 230 253 310 341 445 506 682 713 890 979 1265 1426 1705 1958 2047 2530 2759 3410 3565 4094 4895 5518 7130 7843 9790 10235 13795 15686 20470 22517 27590 30349 39215 45034 60698 63457 78430 112585 126914 151745 190709 225170 303490 317285 381418 634570 698027 953545 1396054 1907090 2097799 3490135 4195598 4386307 5911979 6980270 8772614 10488995 11823958 16973101 20977990 21931535 29559895 33946202 43863070 48249377 59119790 65031769 84865505 96498754 130063538 135975517 169731010 186704111 241246885 271951034 325158845 373408222 390381323 482493770 526166131 650317690 679877585 780762646 933520555 1052332262 1359755170 1495730687 1867041110 1951906615 2630830655 2991461374 3903813230 4294194553 5261661310 5787827441 7478653435 8588389106 11575654882 12101821013 14957306870 21470972765 24203642026 28939137205 42941945530 57878274410 60509105065 121018210130 133120031143 266240062286 665600155715 1331200311430