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1312121300 = 2252767101277
BaseRepresentation
bin100111000110101…
…0110000111010100
310101102222200001012
41032031112013110
510141400340200
6334111151352
744341563350
oct11615260724
93342880035
101312121300
11613727176
12307515558
1317bac0249
14c6398460
157a2d6a35
hex4e3561d4

1312121300 has 144 divisors (see below), whose sum is σ = 3347369088. Its totient is φ = 437184000.

The previous prime is 1312121299. The next prime is 1312121303. The reversal of 1312121300 is 31212131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312121303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736762 + ... + 4737038.

Almost surely, 21312121300 is an apocalyptic number.

1312121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673684544).

1312121300 is an abundant number, since it is smaller than the sum of its proper divisors (2035247788).

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

1312121300 is a wasteful number, since it uses less digits than its factorization.

1312121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1312121300 is about 36223.2149318638. The cubic root of 1312121300 is about 1094.7744717379.

Adding to 1312121300 its reverse (31212131), we get a palindrome (1343333431).

The spelling of 1312121300 in words is "one billion, three hundred twelve million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 101 134 140 175 202 268 277 335 350 404 469 505 554 670 700 707 938 1010 1108 1340 1385 1414 1675 1876 1939 2020 2345 2525 2770 2828 3350 3535 3878 4690 5050 5540 6700 6767 6925 7070 7756 9380 9695 10100 11725 13534 13850 14140 17675 18559 19390 23450 27068 27700 27977 33835 35350 37118 38780 46900 47369 48475 55954 67670 70700 74236 92795 94738 96950 111908 129913 135340 139885 169175 185590 189476 193900 195839 236845 259826 279770 338350 371180 391678 463975 473690 519652 559540 649565 676700 699425 783356 927950 947380 979195 1184225 1299130 1398850 1855900 1874459 1958390 2368450 2598260 2797700 3247825 3748918 3916780 4736900 4895975 6495650 7497836 9372295 9791950 12991300 13121213 18744590 19583900 26242426 37489180 46861475 52484852 65606065 93722950 131212130 187445900 262424260 328030325 656060650 1312121300