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1301231100 = 22352131093061
BaseRepresentation
bin100110110001111…
…0011010111111100
310100200111101111110
41031203303113330
510131103343400
6333041522020
744150165451
oct11543632774
93320441443
101301231100
11608569204
12303943310
13179779440
14c4b61828
1579384e50
hex4d8f35fc

1301231100 has 144 divisors (see below), whose sum is σ = 4093036640. Its totient is φ = 317260800.

The previous prime is 1301231081. The next prime is 1301231111. The reversal of 1301231100 is 11321031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 423570 + ... + 426630.

Almost surely, 21301231100 is an apocalyptic number.

1301231100 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 1301231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046518320).

1301231100 is an abundant number, since it is smaller than the sum of its proper divisors (2791805540).

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

1301231100 is a wasteful number, since it uses less digits than its factorization.

1301231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1301231100 is about 36072.5809999784. The cubic root of 1301231100 is about 1091.7372907194.

Adding to 1301231100 its reverse (11321031), we get a palindrome (1312552131).

The spelling of 1301231100 in words is "one billion, three hundred one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 109 130 150 156 195 218 260 300 325 327 390 436 545 650 654 780 975 1090 1300 1308 1417 1635 1950 2180 2725 2834 3061 3270 3900 4251 5450 5668 6122 6540 7085 8175 8502 9183 10900 12244 14170 15305 16350 17004 18366 21255 28340 30610 32700 35425 36732 39793 42510 45915 61220 70850 76525 79586 85020 91830 106275 119379 141700 153050 159172 183660 198965 212550 229575 238758 306100 333649 397930 425100 459150 477516 596895 667298 795860 918300 994825 1000947 1193790 1334596 1668245 1989650 2001894 2387580 2984475 3336490 3979300 4003788 4337437 5004735 5968950 6672980 8341225 8674874 10009470 11937900 13012311 16682450 17349748 20018940 21687185 25023675 26024622 33364900 43374370 50047350 52049244 65061555 86748740 100094700 108435925 130123110 216871850 260246220 325307775 433743700 650615550 1301231100