Search a number
-
+
2131401300 = 2235271014953
BaseRepresentation
bin111111100001010…
…1001101001010100
312111112121101220220
41333002221221110
513331114320200
6551255154340
7103550416650
oct17702515124
95445541826
102131401300
119a4136386
124b59759b0
1327c763902
14163101a60
15c71bb4a0
hex7f0a9a54

2131401300 has 72 divisors (see below), whose sum is σ = 7047840576. Its totient is φ = 487176960.

The previous prime is 2131401287. The next prime is 2131401301. The reversal of 2131401300 is 31041312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131401300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131401301) 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, 505377 + ... + 509576.

Almost surely, 22131401300 is an apocalyptic number.

2131401300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131401300 is an abundant number, since it is smaller than the sum of its proper divisors (4916439276).

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

2131401300 is a wasteful number, since it uses less digits than its factorization.

2131401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014977 (or 1014970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131401300 is about 46167.1019233393. The cubic root of 2131401300 is about 1286.9304459175.

Adding to 2131401300 its reverse (31041312), we get a palindrome (2162442612).

The spelling of 2131401300 in words is "two billion, one hundred thirty-one million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1014953 2029906 3044859 4059812 5074765 6089718 7104671 10149530 12179436 14209342 15224295 20299060 21314013 25373825 28418684 30448590 35523355 42628026 50747650 60897180 71046710 76121475 85256052 101495300 106570065 142093420 152242950 177616775 213140130 304485900 355233550 426280260 532850325 710467100 1065700650 2131401300