Search a number
-
+
1312101040 = 245313171669
BaseRepresentation
bin100111000110101…
…0001001010110000
310101102221122020211
41032031101022300
510141344213130
6334110513504
744341450315
oct11615211260
93342848224
101312101040
11613712a28
12307505894
1317bab3c63
14c6390d0c
157a2d0a2a
hex4e3512b0

1312101040 has 80 divisors (see below), whose sum is σ = 3160869120. Its totient is φ = 506004480.

The previous prime is 1312101029. The next prime is 1312101041. The reversal of 1312101040 is 401012131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1312101040.

It is not an unprimeable number, because it can be changed into a prime (1312101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785326 + ... + 786994.

It is an arithmetic number, because the mean of its divisors is an integer number (39510864).

Almost surely, 21312101040 is an apocalyptic number.

1312101040 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 1312101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580434560).

1312101040 is an abundant number, since it is smaller than the sum of its proper divisors (1848768080).

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

1312101040 is a wasteful number, since it uses less digits than its factorization.

1312101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1312101040 is about 36222.9352758718. The cubic root of 1312101040 is about 1094.7688370340.

Adding to 1312101040 its reverse (401012131), we get a palindrome (1713113171).

The spelling of 1312101040 in words is "one billion, three hundred twelve million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 317 496 620 634 1240 1268 1585 1669 2480 2536 3170 3338 5072 6340 6676 8345 9827 12680 13352 16690 19654 25360 26704 33380 39308 49135 51739 66760 78616 98270 103478 133520 157232 196540 206956 258695 393080 413912 517390 529073 786160 827824 1034780 1058146 2069560 2116292 2645365 4139120 4232584 5290730 8465168 10581460 16401263 21162920 32802526 42325840 65605052 82006315 131210104 164012630 262420208 328025260 656050520 1312101040