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2151240125200 = 245212294375997
BaseRepresentation
bin11111010011011111111…
…001110100101100010000
321121122201121211020210121
4133103133321310230100
5240221214433001300
64324133245440024
7311264510233465
oct37233771645420
97548647736717
102151240125200
1175a376a713a1
122a8b11b70014
13127b26a1680a
1476198c1766c
153ae5a8c181a
hex1f4dfe74b10

2151240125200 has 60 divisors (see below), whose sum is σ = 5172560915940. Its totient is φ = 859795694080.

The previous prime is 2151240125191. The next prime is 2151240125207. The reversal of 2151240125200 is 25210421512.

It can be written as a sum of positive squares in 6 ways, for example, as 13293167616 + 2137946957584 = 115296^2 + 1462172^2 .

It is a super-3 number, since 3×21512401252003 (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2151240125207) 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, 1696399 + ... + 2679598.

It is an arithmetic number, because the mean of its divisors is an integer number (86209348599).

Almost surely, 22151240125200 is an apocalyptic number.

2151240125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151240125200 is an abundant number, since it is smaller than the sum of its proper divisors (3021320790740).

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

2151240125200 is a wasteful number, since it uses less digits than its factorization.

2151240125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377244 (or 4377233 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 2151240125200 its reverse (25210421512), we get a palindrome (2176450546712).

The spelling of 2151240125200 in words is "two trillion, one hundred fifty-one billion, two hundred forty million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1229 2458 4916 6145 9832 12290 19664 24580 30725 49160 61450 98320 122900 245800 491600 4375997 8751994 17503988 21879985 35007976 43759970 70015952 87519940 109399925 175039880 218799850 350079760 437599700 875199400 1750398800 5378100313 10756200626 21512401252 26890501565 43024802504 53781003130 86049605008 107562006260 134452507825 215124012520 268905015650 430248025040 537810031300 1075620062600 2151240125200