Search a number
-
+
1311502104 = 23351161331
BaseRepresentation
bin100111000101011…
…1110111100011000
310101101211012200000
41032022332330120
510141221031404
6334050013000
744333404203
oct11612767430
93341735600
101311502104
11613343a40
12307277160
1317b934463
14c627693a
157a213339
hex4e2bef18

1311502104 has 96 divisors (see below), whose sum is σ = 4018472640. Its totient is φ = 397418400.

The previous prime is 1311502099. The next prime is 1311502109. The reversal of 1311502104 is 4012051131.

It is an interprime number because it is at equal distance from previous prime (1311502099) and next prime (1311502109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311502109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9282 + ... + 52049.

It is an arithmetic number, because the mean of its divisors is an integer number (41859090).

Almost surely, 21311502104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311502104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009236320).

1311502104 is an abundant number, since it is smaller than the sum of its proper divisors (2706970536).

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

1311502104 is a wasteful number, since it uses less digits than its factorization.

1311502104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61363 (or 61347 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1311502104 is about 36214.6669734791. Note that the first 3 decimals coincide. The cubic root of 1311502104 is about 1094.6022349603.

Adding to 1311502104 its reverse (4012051131), we get a palindrome (5323553235).

The spelling of 1311502104 in words is "one billion, three hundred eleven million, five hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 61331 122662 183993 245324 367986 490648 551979 674641 735972 1103958 1349282 1471944 1655937 2023923 2207916 2698564 3311874 4047846 4415832 4967811 5397128 6071769 6623748 8095692 9935622 12143538 13247496 14903433 16191384 18215307 19871244 24287076 29806866 36430614 39742488 48574152 54645921 59613732 72861228 109291842 119227464 145722456 163937763 218583684 327875526 437167368 655751052 1311502104