Search a number
-
+
1311233123000 = 23533301397223
BaseRepresentation
bin10011000101001011100…
…101011010001010111000
311122100112002110020002202
4103011023211122022320
5132440401134414000
62442212220245332
7163506402435203
oct23051345321270
94570462406082
101311233123000
114660aaa06819
121921613a0848
1396858405698
144766d3c093a
15241951b2dd5
hex1314b95a2b8

1311233123000 has 64 divisors (see below), whose sum is σ = 3069222736320. Its totient is φ = 524333040000.

The previous prime is 1311233122981. The next prime is 1311233123021. The reversal of 1311233123000 is 3213321131.

It is a super-3 number, since 3×13112331230003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102389 + ... + 3499611.

It is an arithmetic number, because the mean of its divisors is an integer number (47956605255).

Almost surely, 21311233123000 is an apocalyptic number.

1311233123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311233123000 is an abundant number, since it is smaller than the sum of its proper divisors (1757989613320).

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

1311233123000 is a wasteful number, since it uses less digits than its factorization.

1311233123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400545 (or 400531 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1311233123000 its reverse (3213321131), we get a palindrome (1314446444131).

The spelling of 1311233123000 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3301 6602 13204 16505 26408 33010 66020 82525 132040 165050 330100 397223 412625 660200 794446 825250 1588892 1650500 1986115 3177784 3301000 3972230 7944460 9930575 15888920 19861150 39722300 49652875 79444600 99305750 198611500 397223000 1311233123 2622466246 5244932492 6556165615 10489864984 13112331230 26224662460 32780828075 52449324920 65561656150 131123312300 163904140375 262246624600 327808280750 655616561500 1311233123000