Search a number
-
+
131203012300000 = 25551981185147
BaseRepresentation
bin11101110101010000010100…
…111100010000110011100000
3122012112212220111220002111221
4131311100110330100303200
5114144112232122100000
61143013455354344424
736431050645426324
oct3565202474206340
9565485814802457
10131203012300000
1138894980a95953
121287003342b114
135829510c6cb14
14245838c7b1984
151027d5895761a
hex775414f10ce0

131203012300000 has 288 divisors, whose sum is σ = 340277524594560. Its totient is φ = 49657147200000.

The previous prime is 131203012299959. The next prime is 131203012300037. The reversal of 131203012300000 is 3210302131.

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

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, 1540857427 + ... + 1540942573.

It is an arithmetic number, because the mean of its divisors is an integer number (1181519182620).

Almost surely, 2131203012300000 is an apocalyptic number.

131203012300000 is a gapful number since it is divisible by the number (10) 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 131203012300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170138762297280).

131203012300000 is an abundant number, since it is smaller than the sum of its proper divisors (209074512294560).

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

131203012300000 is an frugal number, since it uses more digits than its factorization.

131203012300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86012 (or 85984 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131203012300000 its reverse (3210302131), we get a palindrome (131206222602131).

The spelling of 131203012300000 in words is "one hundred thirty-one trillion, two hundred three billion, twelve million, three hundred thousand".