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131211211443400 = 23521167890171041
BaseRepresentation
bin11101110101010111111101…
…101001100000110011001000
3122012120200001221000201210201
4131311113331221200303020
5114144231030112142100
61143021333130421544
736431461065125434
oct3565277551406310
9565520057021721
10131211211443400
11388983a9210720
12128717412918b4
13582a21982a36a
1424589296b79c4
15102818868d36a
hex7755fda60cc8

131211211443400 has 96 divisors (see below), whose sum is σ = 337766500176480. Its totient is φ = 47001030912000.

The previous prime is 131211211443343. The next prime is 131211211443413. The reversal of 131211211443400 is 4344112112131.

It is a super-2 number, since 2×1312112114434002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444938121 + ... + 445232920.

It is an arithmetic number, because the mean of its divisors is an integer number (3518401043505).

Almost surely, 2131211211443400 is an apocalyptic number.

131211211443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211211443400 is an abundant number, since it is smaller than the sum of its proper divisors (206555288733080).

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

131211211443400 is a wasteful number, since it uses less digits than its factorization.

131211211443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890171135 (or 890171126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131211211443400 its reverse (4344112112131), we get a palindrome (135555323555531).

The spelling of 131211211443400 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred eleven million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 670 737 1100 1340 1474 1675 2200 2680 2948 3350 3685 5896 6700 7370 13400 14740 18425 29480 36850 73700 147400 890171041 1780342082 3560684164 4450855205 7121368328 8901710410 9791881451 17803420820 19583762902 22254276025 35606841640 39167525804 44508552050 48959407255 59641459747 78335051608 89017104100 97918814510 119282919494 178034208200 195837629020 238565838988 244797036275 298207298735 391675258040 477131677976 489594072550 596414597470 656056057217 979188145100 1192829194940 1312112114434 1491036493675 1958376290200 2385658389880 2624224228868 2982072987350 3280280286085 5248448457736 5964145974700 6560560572170 11928291949400 13121121144340 16401401430425 26242242288680 32802802860850 65605605721700 131211211443400