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113322825 = 325271131211
BaseRepresentation
bin1101100000100…
…10101101001001
321220020101200200
412300102231021
5213002312300
615124522413
72544141150
oct660225511
9256211620
10113322825
1158a71130
1231b50409
131a629935
141109c597
159e37200
hex6c12b49

113322825 has 144 divisors (see below), whose sum is σ = 262459392. Its totient is φ = 45360000.

The previous prime is 113322787. The next prime is 113322827. The reversal of 113322825 is 528223311.

It is not a de Polignac number, because 113322825 - 28 = 113322569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113322827) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 536970 + ... + 537180.

Almost surely, 2113322825 is an apocalyptic number.

113322825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113322825 is an abundant number, since it is smaller than the sum of its proper divisors (149136567).

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

113322825 is a wasteful number, since it uses less digits than its factorization.

113322825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 113322825 is about 10645.3193939872. The cubic root of 113322825 is about 483.9187661061.

The spelling of 113322825 in words is "one hundred thirteen million, three hundred twenty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 31 33 35 45 55 63 75 77 93 99 105 155 165 175 211 217 225 231 275 279 315 341 385 465 495 525 633 651 693 775 825 1023 1055 1085 1155 1395 1477 1575 1705 1899 1925 1953 2321 2325 2387 2475 3069 3165 3255 3465 4431 5115 5275 5425 5775 6541 6963 6975 7161 7385 8525 9495 9765 11605 11935 13293 15345 15825 16247 16275 17325 19623 20889 21483 22155 25575 32705 34815 35805 36925 45787 47475 48741 48825 58025 58869 59675 66465 71951 76725 81235 98115 104445 107415 110775 137361 146223 163525 174075 179025 215853 228935 243705 294345 332325 359755 406175 412083 490575 503657 522225 537075 647559 686805 731115 1079265 1144675 1218525 1471725 1510971 1798775 2060415 2518285 3237795 3434025 3655575 4532913 5396325 7554855 10302075 12591425 16188975 22664565 37774275 113322825