Search a number
-
+
1311352452 = 22322331471087
BaseRepresentation
bin100111000101001…
…1010011010000100
310101101112121101100
41032022122122010
510141201234302
6334042500100
744332211664
oct11612323204
93341477340
101311352452
11613251563
12307204630
1317b8b12c7
14c62381a4
157a1d3d1c
hex4e29a684

1311352452 has 144 divisors (see below), whose sum is σ = 3649830912. Its totient is φ = 395651520.

The previous prime is 1311352397. The next prime is 1311352459. The reversal of 1311352452 is 2542531131.

1311352452 is a `hidden beast` number, since 131 + 1 + 3 + 524 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1311352459) 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 47 ways as a sum of consecutive naturals, for example, 1205853 + ... + 1206939.

It is an arithmetic number, because the mean of its divisors is an integer number (25346048).

Almost surely, 21311352452 is an apocalyptic number.

1311352452 is a gapful number since it is divisible by the number (12) 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 1311352452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824915456).

1311352452 is an abundant number, since it is smaller than the sum of its proper divisors (2338478460).

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

1311352452 is a wasteful number, since it uses less digits than its factorization.

1311352452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1193 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1311352452 is about 36212.6007351032. The cubic root of 1311352452 is about 1094.5605993315.

Adding to 1311352452 its reverse (2542531131), we get a palindrome (3853883583).

It can be divided in two parts, 13113 and 52452, that multiplied together give a square (687803076 = 262262).

The spelling of 1311352452 in words is "one billion, three hundred eleven million, three hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 47 62 69 92 93 94 124 138 141 186 188 207 276 279 282 372 414 423 558 564 713 828 846 1081 1087 1116 1426 1457 1692 2139 2162 2174 2852 2914 3243 3261 4278 4324 4348 4371 5828 6417 6486 6522 8556 8742 9729 9783 12834 12972 13044 13113 17484 19458 19566 25001 25668 26226 33511 33697 38916 39132 50002 51089 52452 67022 67394 75003 100004 100533 101091 102178 134044 134788 150006 153267 201066 202182 204356 225009 300012 301599 303273 306534 402132 404364 450018 459801 603198 606546 613068 775031 900036 919602 1175047 1206396 1213092 1550062 1583759 1839204 2325093 2350094 3100124 3167518 3525141 4650186 4700188 4751277 6335036 6975279 7050282 9300372 9502554 10575423 13950558 14100564 14253831 19005108 21150846 27901116 28507662 36426457 42301692 57015324 72852914 109279371 145705828 218558742 327838113 437117484 655676226 1311352452