Search a number
-
+
11325111525 = 3352721326339
BaseRepresentation
bin10101000110000011…
…10111110011100101
31002020021012021102000
422203001313303211
5141143212032100
65111440235513
7550434600600
oct124301676345
932207167360
1011325111525
114891803a02
12224090bb99
1310b63a8330
1479613d337
154643ad900
hex2a3077ce5

11325111525 has 144 divisors (see below), whose sum is σ = 26063956800. Its totient is φ = 4778766720.

The previous prime is 11325111467. The next prime is 11325111547. The reversal of 11325111525 is 52511152311.

It is a happy number.

11325111525 is a `hidden beast` number, since 1 + 1 + 3 + 25 + 111 + 525 = 666.

It is not a de Polignac number, because 11325111525 - 210 = 11325110501 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 416806 + ... + 443144.

It is an arithmetic number, because the mean of its divisors is an integer number (180999700).

Almost surely, 211325111525 is an apocalyptic number.

11325111525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11325111525 is an abundant number, since it is smaller than the sum of its proper divisors (14738845275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11325111525 is a wasteful number, since it uses less digits than its factorization.

11325111525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26385 (or 26367 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

Adding to 11325111525 its reverse (52511152311), we get a palindrome (63836263836).

The spelling of 11325111525 in words is "eleven billion, three hundred twenty-five million, one hundred eleven thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 91 105 117 135 147 175 189 195 225 245 273 315 325 351 441 455 525 585 637 675 735 819 945 975 1225 1323 1365 1575 1755 1911 2205 2275 2457 2925 3185 3675 4095 4725 5733 6615 6825 8775 9555 11025 12285 15925 17199 20475 26339 28665 33075 47775 61425 79017 85995 131695 143325 184373 237051 342407 395085 429975 553119 658475 711153 921865 1027221 1185255 1290611 1659357 1712035 1975425 2396849 2765595 3081663 3555765 3871833 4609325 4978071 5136105 5926275 6453055 7190547 8296785 8560175 9244989 11615499 11984245 13827975 15408315 16777943 17778825 19359165 21571641 24890355 25680525 32265275 34846497 35952735 41483925 46224945 50333829 58077495 59921225 64714923 77041575 83889715 96795825 107858205 124451775 151001487 174232485 179763675 231124725 251669145 290387475 323574615 419448575 453004461 539291025 755007435 871162425 1258345725 1617873075 2265022305 3775037175 11325111525