Search a number
-
+
12343331101300 = 2252661186737233
BaseRepresentation
bin1011001110011110011111…
…0111011001101001110100
31121201000021222010010222021
42303213213313121221310
53104213120230220200
642130240435042524
72412530152144303
oct263474767315164
947630258103867
1012343331101300
113a29860686921
121474278740444
136b6c817523b4
143095c588243a
1516612975e41a
hexb39e7dd9a74

12343331101300 has 36 divisors (see below), whose sum is σ = 26825550613036. Its totient is φ = 4929862924800.

The previous prime is 12343331101267. The next prime is 12343331101301. The reversal of 12343331101300 is 310113334321.

It can be written as a sum of positive squares in 6 ways, for example, as 391485796 + 12342939615504 = 19786^2 + 3513252^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343331101301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93302517 + ... + 93434716.

Almost surely, 212343331101300 is an apocalyptic number.

12343331101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12343331101300 is an abundant number, since it is smaller than the sum of its proper divisors (14482219511736).

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

12343331101300 is a wasteful number, since it uses less digits than its factorization.

12343331101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186737908 (or 186737901 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12343331101300 its reverse (310113334321), we get a palindrome (12653444435621).

The spelling of 12343331101300 in words is "twelve trillion, three hundred forty-three billion, three hundred thirty-one million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 661 1322 2644 3305 6610 13220 16525 33050 66100 186737233 373474466 746948932 933686165 1867372330 3734744660 4668430825 9336861650 18673723300 123433311013 246866622026 493733244052 617166555065 1234333110130 2468666220260 3085832775325 6171665550650 12343331101300