Search a number
-
+
1311423324150 = 235267203963997
BaseRepresentation
bin10011000101010110111…
…010111101111111110110
311122101000100100110000210
4103011112322331333312
5132441243332333100
62442243133050250
7163514202221412
oct23052672757766
94571010313023
101311423324150
11466198306755
121921b5026986
139688893b844
144768a771d42
15241a6c33c50
hex13156ebdff6

1311423324150 has 96 divisors (see below), whose sum is σ = 3302542552320. Its totient is φ = 344318958720.

The previous prime is 1311423324137. The next prime is 1311423324209. The reversal of 1311423324150 is 514233241131.

It is a super-2 number, since 2×13114233241502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20459952 + ... + 20523948.

It is an arithmetic number, because the mean of its divisors is an integer number (34401484920).

Almost surely, 21311423324150 is an apocalyptic number.

1311423324150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311423324150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651271276160).

1311423324150 is an abundant number, since it is smaller than the sum of its proper divisors (1991119228170).

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

1311423324150 is a wasteful number, since it uses less digits than its factorization.

1311423324150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66118 (or 66113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1311423324150 its reverse (514233241131), we get a palindrome (1825656565281).

The spelling of 1311423324150 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 2039 3350 4078 5025 6117 10050 10195 12234 20390 30585 50975 61170 63997 101950 127994 136613 152925 191991 273226 305850 319985 383982 409839 639970 683065 819678 959955 1366130 1599925 1919910 2049195 3199850 3415325 4098390 4287799 4799775 6830650 8575598 9599550 10245975 12863397 20491950 21438995 25726794 42877990 64316985 107194975 128633970 130489883 214389950 260979766 321584925 391469649 643169850 652449415 782939298 1304898830 1957348245 3262247075 3914696490 6524494150 8742822161 9786741225 17485644322 19573482450 26228466483 43714110805 52456932966 87428221610 131142332415 218570554025 262284664830 437141108050 655711662075 1311423324150