Search a number
-
+
4000131201 = 311436474357
BaseRepresentation
bin1110111001101101…
…0010100010000001
3101022202221201102110
43232123102202001
531143013144301
61500532405533
7201061361043
oct35633224201
911282851373
104000131201
111772a73860
129377768a9
134b9969351
1429d389a93
1518629e0d6
hexee6d2881

4000131201 has 32 divisors (see below), whose sum is σ = 5964254208. Its totient is φ = 2363739840.

The previous prime is 4000131173. The next prime is 4000131259. The reversal of 4000131201 is 1021310004.

It is a happy number.

It is not a de Polignac number, because 4000131201 - 210 = 4000130177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000131271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915915 + ... + 920271.

It is an arithmetic number, because the mean of its divisors is an integer number (186382944).

Almost surely, 24000131201 is an apocalyptic number.

It is an amenable number.

4000131201 is a deficient number, since it is larger than the sum of its proper divisors (1964123007).

4000131201 is a wasteful number, since it uses less digits than its factorization.

4000131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4000131201 is about 63246.5904298406. The cubic root of 4000131201 is about 1587.4184074956.

Adding to 4000131201 its reverse (1021310004), we get a palindrome (5021441205).

The spelling of 4000131201 in words is "four billion, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 11 33 43 129 473 647 1419 1941 4357 7117 13071 21351 27821 47927 83463 143781 187351 306031 562053 918093 2060861 2818979 6182583 8456937 31008769 93026307 121216097 363648291 1333377067 4000131201