Search a number
-
+
113203332 = 223411231381
BaseRepresentation
bin1101011111101…
…01100010000100
321220000022210000
412233311202010
5212440001312
615122201300
72543132604
oct657654204
9256008700
10113203332
115899a380
1231ab3230
131a5b7428
141106ac04
159e11adc
hex6bf5884

113203332 has 120 divisors (see below), whose sum is σ = 337119552. Its totient is φ = 32788800.

The previous prime is 113203331. The next prime is 113203333. The reversal of 113203332 is 233302311.

113203332 is a `hidden beast` number, since 11 + 320 + 3 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (113203331) and next prime (113203333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113203331) 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, 81282 + ... + 82662.

Almost surely, 2113203332 is an apocalyptic number.

113203332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168559776).

113203332 is an abundant number, since it is smaller than the sum of its proper divisors (223916220).

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

113203332 is a wasteful number, since it uses less digits than its factorization.

113203332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 113203332 is about 10639.7054470507. The cubic root of 113203332 is about 483.7486172666.

Adding to 113203332 its reverse (233302311), we get a palindrome (346505643).

The spelling of 113203332 in words is "one hundred thirteen million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 253 276 297 324 396 414 506 594 621 759 828 891 1012 1188 1242 1381 1518 1782 1863 2277 2484 2762 3036 3564 3726 4143 4554 5524 6831 7452 8286 9108 12429 13662 15191 16572 20493 24858 27324 30382 31763 37287 40986 45573 49716 60764 63526 74574 81972 91146 95289 111861 127052 136719 149148 182292 190578 223722 273438 285867 349393 381156 410157 447444 546876 571734 698786 820314 857601 1048179 1143468 1230471 1397572 1640628 1715202 2096358 2460942 2572803 3144537 3430404 4192716 4921884 5145606 6289074 9433611 10291212 12578148 18867222 28300833 37734444 56601666 113203332