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13332311022100 = 22527314314288191
BaseRepresentation
bin1100001000000010101110…
…1010011001101000010100
31202012120000200022112201211
43002000223222121220110
53221414033110201400
644204440143031204
72544141044601460
oct302005352315024
952176020275654
1013332311022100
114280223aaa144
1215b3a83b9b504
137593018b30c5
143414044ad4a0
15181c0d7bbdba
hexc202ba99a14

13332311022100 has 144 divisors (see below), whose sum is σ = 34924456247296. Its totient is φ = 4320748656000.

The previous prime is 13332311022097. The next prime is 13332311022101. The reversal of 13332311022100 is 122011323331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332311022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6210996 + ... + 8077195.

Almost surely, 213332311022100 is an apocalyptic number.

13332311022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332311022100 is an abundant number, since it is smaller than the sum of its proper divisors (21592145225196).

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

13332311022100 is a wasteful number, since it uses less digits than its factorization.

13332311022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288286 (or 14288279 counting only the distinct ones).

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

Adding to 13332311022100 its reverse (122011323331), we get a palindrome (13454322345431).

The spelling of 13332311022100 in words is "thirteen trillion, three hundred thirty-two billion, three hundred eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 43 50 62 70 86 100 124 140 155 172 175 215 217 301 310 350 430 434 602 620 700 775 860 868 1075 1085 1204 1333 1505 1550 2150 2170 2666 3010 3100 4300 4340 5332 5425 6020 6665 7525 9331 10850 13330 15050 18662 21700 26660 30100 33325 37324 46655 66650 93310 133300 186620 233275 466550 933100 14288191 28576382 57152764 71440955 100017337 142881910 200034674 285763820 357204775 400069348 442933921 500086685 614392213 714409550 885867842 1000173370 1228784426 1428819100 1771735684 2000346740 2214669605 2457568852 2500433425 3071961065 3100537447 4300745491 4429339210 5000866850 6143922130 6201074894 8601490982 8858678420 10001733700 11073348025 12287844260 12402149788 15359805325 15502687235 17202981964 19046158603 21503727455 22146696050 30719610650 31005374470 38092317206 43007454910 44293392100 61439221300 62010748940 76184634412 77513436175 86014909820 95230793015 107518637275 133323110221 155026872350 190461586030 215037274550 266646220442 310053744700 380923172060 430074549100 476153965075 533292440884 666615551105 952307930150 1333231102210 1904615860300 2666462204420 3333077755525 6666155511050 13332311022100