Search a number
-
+
1123160201325 = 34521366940577
BaseRepresentation
bin10000010110000001100…
…100001001100001101101
310222101001222001220020000
4100112001210021201231
5121400213002420300
62215550033014513
7144100646122251
oct20260144114155
93871058056200
101123160201325
113a3369720048
121618140b4439
1381bb50c8706
143c50b378261
151e338da7c00
hex1058190986d

1123160201325 has 60 divisors (see below), whose sum is σ = 2080684426260. Its totient is φ = 598960189440.

The previous prime is 1123160201311. The next prime is 1123160201341. The reversal of 1123160201325 is 5231020613211.

1123160201325 is a `hidden beast` number, since 1 + 1 + 2 + 31 + 602 + 0 + 1 + 3 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4130504361 + 1119029696964 = 64269^2 + 1057842^2 .

It is not a de Polignac number, because 1123160201325 - 211 = 1123160199277 is a prime.

It is a super-2 number, since 2×11231602013252 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27659437 + ... + 27700013.

It is an arithmetic number, because the mean of its divisors is an integer number (34678073771).

Almost surely, 21123160201325 is an apocalyptic number.

1123160201325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1123160201325 is a deficient number, since it is larger than the sum of its proper divisors (957524224935).

1123160201325 is a wasteful number, since it uses less digits than its factorization.

1123160201325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54268 (or 54254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1123160201325 its reverse (5231020613211), we get a palindrome (6354180814536).

The spelling of 1123160201325 in words is "one trillion, one hundred twenty-three billion, one hundred sixty million, two hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 13669 40577 41007 68345 121731 123021 202885 205035 341725 365193 369063 608655 615105 1014425 1025175 1095579 1107189 1825965 1845315 3043275 3075525 3286737 5477895 5535945 9129825 9226575 16433685 27389475 27679725 82168425 554647013 1663941039 2773235065 4991823117 8319705195 13866175325 14975469351 24959115585 41598525975 44926408053 74877346755 124795577925 224632040265 374386733775 1123160201325