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1301232100 = 2252719227431
BaseRepresentation
bin100110110001111…
…0011100111100100
310100200111102212111
41031203303213210
510131103411400
6333041530404
744150201410
oct11543634744
93320442774
101301232100
11608569a33
12303943a04
13179779a2c
14c4b61d40
15793853ba
hex4d8f39e4

1301232100 has 144 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 419817600.

The previous prime is 1301232091. The next prime is 1301232131. The reversal of 1301232100 is 12321031.

It is an unprimeable number.

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, 3018885 + ... + 3019315.

It is an arithmetic number, because the mean of its divisors is an integer number (23748480).

Almost surely, 21301232100 is an apocalyptic number.

1301232100 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 1301232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1301232100 is an abundant number, since it is smaller than the sum of its proper divisors (2118549020).

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

1301232100 is a wasteful number, since it uses less digits than its factorization.

1301232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1301232100 is about 36072.5948609190. The cubic root of 1301232100 is about 1091.7375703871.

Adding to 1301232100 its reverse (12321031), we get a palindrome (1313553131).

The spelling of 1301232100 in words is "one billion, three hundred one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 227 266 350 380 431 454 475 532 665 700 862 908 950 1135 1330 1589 1724 1900 2155 2270 2660 3017 3178 3325 4310 4313 4540 5675 6034 6356 6650 7945 8189 8620 8626 10775 11350 12068 13300 15085 15890 16378 17252 21550 21565 22700 30170 30191 31780 32756 39725 40945 43100 43130 57323 60340 60382 75425 79450 81890 86260 97837 107825 114646 120764 150850 150955 158900 163780 195674 204725 215650 229292 286615 301700 301910 391348 409450 431300 489185 573230 603820 684859 754775 818900 978370 1146460 1369718 1433075 1509550 1858903 1956740 2445925 2739436 2866150 3019100 3424295 3717806 4891850 5732300 6848590 7435612 9294515 9783700 13012321 13697180 17121475 18589030 26024642 34242950 37178060 46472575 52049284 65061605 68485900 92945150 130123210 185890300 260246420 325308025 650616050 1301232100