Search a number
-
+
131001334420201 = 7253125253292801
BaseRepresentation
bin11101110010010100100000…
…000000001101001011101001
3122011211121100020101021122021
4131302110200000031023221
5114132311213102421301
61142341103205424441
736410351121636430
oct3562244000151351
9564747306337567
10131001334420201
113881739909a833
1212838b29a0b121
1358134b014a87b
14244c6d9926117
1510229a304d8a1
hex77252000d2e9

131001334420201 has 16 divisors (see below), whose sum is σ = 149781406117248. Its totient is φ = 112237665408000.

The previous prime is 131001334420189. The next prime is 131001334420217. The reversal of 131001334420201 is 102024433100131.

It is a cyclic number.

It is not a de Polignac number, because 131001334420201 - 227 = 131001200202473 is a prime.

It is a super-2 number, since 2×1310013344202012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131001334460201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447261001 + ... + 447553801.

It is an arithmetic number, because the mean of its divisors is an integer number (9361337882328).

Almost surely, 2131001334420201 is an apocalyptic number.

It is an amenable number.

131001334420201 is a deficient number, since it is larger than the sum of its proper divisors (18780071697047).

131001334420201 is a wasteful number, since it uses less digits than its factorization.

131001334420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320592.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131001334420201 its reverse (102024433100131), we get a palindrome (233025767520332).

The spelling of 131001334420201 in words is "one hundred thirty-one trillion, one billion, three hundred thirty-four million, four hundred twenty thousand, two hundred one".

Divisors: 1 7 2531 17717 25253 176771 292801 2049607 63915343 447407401 741079331 5187555317 7394103653 51758725571 18714476345743 131001334420201