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5342201300 = 22521491792003
BaseRepresentation
bin1001111100110101…
…11000010111010100
3111210022021221111102
410332122320113110
541420100420200
62242033525232
7246245650622
oct47632702724
914708257442
105342201300
1122a15959a7
121051113818
13671a14177
143896dc512
15213eee6d5
hex13e6b85d4

5342201300 has 72 divisors (see below), whose sum is σ = 11741436000. Its totient is φ = 2109627520.

The previous prime is 5342201299. The next prime is 5342201309. The reversal of 5342201300 is 31022435.

It is a happy number.

It is a super-2 number, since 2×53422013002 = 57078229459443380000, which contains 22 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 not an unprimeable number, because it can be changed into a prime (5342201309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666099 + ... + 2668101.

It is an arithmetic number, because the mean of its divisors is an integer number (163075500).

Almost surely, 25342201300 is an apocalyptic number.

5342201300 is a gapful number since it is divisible by the number (50) 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 5342201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870718000).

5342201300 is an abundant number, since it is smaller than the sum of its proper divisors (6399234700).

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

5342201300 is a wasteful number, since it uses less digits than its factorization.

5342201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5342201300 is about 73090.3639339688. The cubic root of 5342201300 is about 1748.1287535614.

Adding to 5342201300 its reverse (31022435), we get a palindrome (5373223735).

The spelling of 5342201300 in words is "five billion, three hundred forty-two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 179 298 358 596 716 745 895 1490 1790 2003 2980 3580 3725 4006 4475 7450 8012 8950 10015 14900 17900 20030 26671 40060 50075 53342 100150 106684 133355 200300 266710 298447 358537 533420 596894 666775 717074 1193788 1333550 1434148 1492235 1792685 2667100 2984470 3585370 5968940 7170740 7461175 8963425 14922350 17926850 29844700 35853700 53422013 106844026 213688052 267110065 534220130 1068440260 1335550325 2671100650 5342201300