Search a number
-
+
253271271 = 31123171317
BaseRepresentation
bin11110001100010…
…01110011100111
3122122120111212110
433012021303213
51004314140041
641044252103
76163525131
oct1706116347
9578514773
10253271271
1111aa68500
12709a1033
1340619676
14258cc051
151737d516
hexf189ce7

253271271 has 48 divisors (see below), whose sum is σ = 389781504. Its totient is φ = 145992000.

The previous prime is 253271191. The next prime is 253271281. The reversal of 253271271 is 172172352.

253271271 is a nontrivial binomial coefficient, being equal to C(22507, 2).

It is not a de Polignac number, because 253271271 - 27 = 253271143 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253271281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798805 + ... + 799121.

It is an arithmetic number, because the mean of its divisors is an integer number (8120448).

Almost surely, 2253271271 is an apocalyptic number.

253271271 is the 22506-th triangular number.

253271271 is a deficient number, since it is larger than the sum of its proper divisors (136510233).

253271271 is a wasteful number, since it uses less digits than its factorization.

253271271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 253271271 is about 15914.4987668478. The cubic root of 253271271 is about 632.6963221699.

The spelling of 253271271 in words is "two hundred fifty-three million, two hundred seventy-one thousand, two hundred seventy-one".

Divisors: 1 3 11 31 33 71 93 121 213 317 341 363 781 951 1023 2201 2343 3487 3751 6603 8591 9827 10461 11253 22507 24211 25773 29481 38357 67521 72633 108097 115071 247577 266321 324291 697717 742731 798963 1189067 2093151 2723347 3567201 7674887 8170041 23024661 84423757 253271271