Search a number
-
+
2134324024300 = 2252132861573851
BaseRepresentation
bin11111000011101111101…
…000000001001111101100
321120001001201012021211001
4133003233220001033230
5234432043422234200
64312254523010044
7310125352605166
oct37035750011754
97501051167731
102134324024300
117531862a7416
122a5790969924
1312635c21a460
1475432337936
153a7ba76d76a
hex1f0efa013ec

2134324024300 has 72 divisors (see below), whose sum is σ = 4989503120112. Its totient is φ = 787781280000.

The previous prime is 2134324024267. The next prime is 2134324024319. The reversal of 2134324024300 is 34204234312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432375 + ... + 4006225.

It is an arithmetic number, because the mean of its divisors is an integer number (69298654446).

Almost surely, 22134324024300 is an apocalyptic number.

2134324024300 is a gapful number since it is divisible by the number (20) 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 2134324024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494751560056).

2134324024300 is an abundant number, since it is smaller than the sum of its proper divisors (2855179095812).

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

2134324024300 is a wasteful number, since it uses less digits than its factorization.

2134324024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576739 (or 576732 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2134324024300 its reverse (34204234312), we get a palindrome (2168528258612).

The spelling of 2134324024300 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-four million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2861 5722 11444 14305 28610 37193 57220 71525 74386 143050 148772 185965 286100 371930 573851 743860 929825 1147702 1859650 2295404 2869255 3719300 5738510 7460063 11477020 14346275 14920126 28692550 29840252 37300315 57385100 74600630 149201260 186501575 373003150 746006300 1641787711 3283575422 6567150844 8208938555 16417877110 21343240243 32835754220 41044692775 42686480486 82089385550 85372960972 106716201215 164178771100 213432402430 426864804860 533581006075 1067162012150 2134324024300