Search a number
-
+
1312101100 = 2252101163797
BaseRepresentation
bin100111000110101…
…0001001011101100
310101102221122100001
41032031101023230
510141344213400
6334110514044
744341450432
oct11615211354
93342848301
101312101100
11613712a82
12307505924
1317bab3cab
14c6390d52
157a2d0a6a
hex4e3512ec

1312101100 has 72 divisors (see below), whose sum is σ = 2896720848. Its totient is φ = 515808000.

The previous prime is 1312101073. The next prime is 1312101121. The reversal of 1312101100 is 11012131.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1645902 + ... + 1646698.

It is an arithmetic number, because the mean of its divisors is an integer number (40232234).

Almost surely, 21312101100 is an apocalyptic number.

1312101100 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 1312101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448360424).

1312101100 is an abundant number, since it is smaller than the sum of its proper divisors (1584619748).

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

1312101100 is a wasteful number, since it uses less digits than its factorization.

1312101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1312101100 is about 36222.9361040764. The cubic root of 1312101100 is about 1094.7688537213.

Adding to 1312101100 its reverse (11012131), we get a palindrome (1323113231).

The spelling of 1312101100 in words is "one billion, three hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 163 202 326 404 505 652 797 815 1010 1594 1630 2020 2525 3188 3260 3985 4075 5050 7970 8150 10100 15940 16300 16463 19925 32926 39850 65852 79700 80497 82315 129911 160994 164630 259822 321988 329260 402485 411575 519644 649555 804970 823150 1299110 1609940 1646300 2012425 2598220 3247775 4024850 6495550 8049700 12991100 13121011 26242022 52484044 65605055 131210110 262420220 328025275 656050550 1312101100