Search a number
-
+
31151101257 = 341724779133
BaseRepresentation
bin11101000000110000…
…000001010101001001
32222101222021220110000
4131000300001111021
51002244140220012
622151032113213
72151644664123
oct350060012511
988358256400
1031151101257
1112235a91491
126054535809
132c259c84c3
14171728a213
15c24c05ddc
hex740c01549

31151101257 has 40 divisors (see below), whose sum is σ = 49296965256. Its totient is φ = 19535758848.

The previous prime is 31151101249. The next prime is 31151101271. The reversal of 31151101257 is 75210115113.

It can be written as a sum of positive squares in 4 ways, for example, as 12984374601 + 18166726656 = 113949^2 + 134784^2 .

It is not a de Polignac number, because 31151101257 - 23 = 31151101249 is a prime.

It is a super-2 number, since 2×311511012572 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31151101257.

It is not an unprimeable number, because it can be changed into a prime (31151105257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3406263 + ... + 3415395.

Almost surely, 231151101257 is an apocalyptic number.

It is an amenable number.

31151101257 is a deficient number, since it is larger than the sum of its proper divisors (18145863999).

31151101257 is a wasteful number, since it uses less digits than its factorization.

31151101257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 31151101257 in words is "thirty-one billion, one hundred fifty-one million, one hundred one thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 2477 7431 9133 22293 27399 42109 66879 82197 126327 155261 200637 246591 378981 465783 739773 1136943 1397349 3410829 4192047 12576141 22622441 67867323 203601969 384581497 610805907 1153744491 1832417721 3461233473 10383700419 31151101257