Search a number
-
+
131203012000 = 255335991367
BaseRepresentation
bin111101000110001001…
…1110001010110100000
3110112122202121120211211
41322030103301112200
54122200432341000
6140135051515504
712323222125654
oct1721423612640
9415582546754
10131203012000
1150708752925
1221517758b94
13c4ac1b1c58
1464c9180a64
15362d7967ba
hex1e8c4f15a0

131203012000 has 96 divisors (see below), whose sum is σ = 323267293440. Its totient is φ = 52334444800.

The previous prime is 131203011959. The next prime is 131203012027. The reversal of 131203012000 is 210302131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390317 + ... + 1481683.

It is an arithmetic number, because the mean of its divisors is an integer number (3367367640).

Almost surely, 2131203012000 is an apocalyptic number.

131203012000 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 131203012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161633646720).

131203012000 is an abundant number, since it is smaller than the sum of its proper divisors (192064281440).

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

131203012000 is an equidigital number, since it uses as much as digits as its factorization.

131203012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91751 (or 91733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131203012000 its reverse (210302131), we get a palindrome (131413314131).

The spelling of 131203012000 in words is "one hundred thirty-one billion, two hundred three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 359 400 500 718 800 1000 1436 1795 2000 2872 3590 4000 5744 7180 8975 11488 14360 17950 28720 35900 44875 57440 71800 89750 91367 143600 179500 182734 287200 359000 365468 456835 718000 730936 913670 1436000 1461872 1827340 2284175 2923744 3654680 4568350 7309360 9136700 11420875 14618720 18273400 22841750 32800753 36546800 45683500 65601506 73093600 91367000 131203012 164003765 182734000 262406024 328007530 365468000 524812048 656015060 820018825 1049624096 1312030120 1640037650 2624060240 3280075300 4100094125 5248120480 6560150600 8200188250 13120301200 16400376500 26240602400 32800753000 65601506000 131203012000