Search a number
-
+
272141101331 = 1122397786957
BaseRepresentation
bin1111110101110011011…
…1111010100100010011
3222000102222111100020022
43331130313322210103
513424321110220311
6325004144134055
725442624123411
oct3753467724423
9860388440208
10272141101331
11a5461614400
12448ab60732b
131c880215598
14d2592022b1
15712ba1a5db
hex3f5cdfa913

272141101331 has 12 divisors (see below), whose sum is σ = 312135969936. Its totient is φ = 236644433520.

The previous prime is 272141101291. The next prime is 272141101357. The reversal of 272141101331 is 133101141272.

It is not a de Polignac number, because 272141101331 - 210 = 272141100307 is a prime.

It is a super-2 number, since 2×2721411013312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 272141101331.

It is not an unprimeable number, because it can be changed into a prime (272141101831) 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, 48890696 + ... + 48896261.

It is an arithmetic number, because the mean of its divisors is an integer number (26011330828).

Almost surely, 2272141101331 is an apocalyptic number.

272141101331 is a deficient number, since it is larger than the sum of its proper divisors (39994868605).

272141101331 is a wasteful number, since it uses less digits than its factorization.

272141101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97787002 (or 97786991 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 272141101331 in words is "two hundred seventy-two billion, one hundred forty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 11 23 121 253 2783 97786957 1075656527 2249100011 11832221797 24740100121 272141101331