Search a number
-
+
1311014320 = 245711212827
BaseRepresentation
bin100111000100100…
…0111110110110000
310101100220102112221
41032021013312300
510141104424240
6334031330424
744326303120
oct11611076660
93340812487
101311014320
11613040510
12307080a14
1317b7c3425
14c618ac80
157a168a4a
hex4e247db0

1311014320 has 80 divisors (see below), whose sum is σ = 3800256768. Its totient is φ = 408625920.

The previous prime is 1311014317. The next prime is 1311014323. The reversal of 1311014320 is 234101131.

It is an interprime number because it is at equal distance from previous prime (1311014317) and next prime (1311014323).

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1311014294 and 1311014303.

It is not an unprimeable number, because it can be changed into a prime (1311014323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100254 + ... + 112573.

Almost surely, 21311014320 is an apocalyptic number.

1311014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311014320 is an abundant number, since it is smaller than the sum of its proper divisors (2489242448).

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

1311014320 is a wasteful number, since it uses less digits than its factorization.

1311014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212858 (or 212852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1311014320 is about 36207.9317277306. The cubic root of 1311014320 is about 1094.4665138248.

Adding to 1311014320 its reverse (234101131), we get a palindrome (1545115451).

The spelling of 1311014320 in words is "one billion, three hundred eleven million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 212827 425654 851308 1064135 1489789 1702616 2128270 2341097 2979578 3405232 4256540 4682194 5959156 7448945 8513080 9364388 11705485 11918312 14897890 16387679 17026160 18728776 23410970 23836624 29795780 32775358 37457552 46821940 59591560 65550716 81938395 93643880 119183120 131101432 163876790 187287760 262202864 327753580 655507160 1311014320