Search a number
-
+
10131543225001 = 116116790414193
BaseRepresentation
bin1001001101101110111100…
…0010001111001010101001
31022212120021200000110011201
42103123233002033022221
52311443400031200001
633314211112524201
72063660041326022
oct223335702171251
938776250013151
1010131543225001
113256844026a10
1211776893b0661
13586528977a33
1427052554dc49
151288284dd501
hex936ef08f2a9

10131543225001 has 16 divisors (see below), whose sum is σ = 11301050936448. Its totient is φ = 9005253523200.

The previous prime is 10131543224987. The next prime is 10131543225151. The reversal of 10131543225001 is 10052234513101.

It is not a de Polignac number, because 10131543225001 - 211 = 10131543222953 is a prime.

It is a super-4 number, since 4×101315432250014 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131543223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45095040 + ... + 45319153.

It is an arithmetic number, because the mean of its divisors is an integer number (706315683528).

Almost surely, 210131543225001 is an apocalyptic number.

10131543225001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131543225001 is a deficient number, since it is larger than the sum of its proper divisors (1169507711447).

10131543225001 is a wasteful number, since it uses less digits than its factorization.

10131543225001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90414432.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 10131543225001 its reverse (10052234513101), we get a palindrome (20183777738102).

The spelling of 10131543225001 in words is "ten trillion, one hundred thirty-one billion, five hundred forty-three million, two hundred twenty-five thousand, one".

Divisors: 1 11 61 167 671 1837 10187 112057 90414193 994556123 5515265773 15099170231 60667923503 166090872541 921049384091 10131543225001