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113001330 = 235133741191
BaseRepresentation
bin1101011110001…
…00001101110010
321212122001200110
412233010031302
5212412020310
615114002150
72541331641
oct657041562
9255561613
10113001330
1158871632
1231a16356
131a5464c0
1411017358
159dc1d20
hex6bc4372

113001330 has 128 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 26265600.

The previous prime is 113001311. The next prime is 113001331. The reversal of 113001330 is 33100311.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113001331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591535 + ... + 591725.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2113001330 is an apocalyptic number.

113001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

113001330 is an abundant number, since it is smaller than the sum of its proper divisors (195882126).

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

113001330 is a wasteful number, since it uses less digits than its factorization.

113001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 113001330 is about 10630.2083704883. The cubic root of 113001330 is about 483.4607094595.

Adding to 113001330 its reverse (33100311), we get a palindrome (146101641).

The spelling of 113001330 in words is "one hundred thirteen million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 41 65 74 78 82 111 123 130 185 191 195 205 222 246 370 382 390 410 481 533 555 573 615 955 962 1066 1110 1146 1230 1443 1517 1599 1910 2405 2483 2665 2865 2886 3034 3198 4551 4810 4966 5330 5730 7067 7215 7449 7585 7831 7995 9102 12415 14134 14430 14898 15170 15662 15990 19721 21201 22755 23493 24830 35335 37245 39155 39442 42402 45510 46986 59163 70670 74490 78310 91871 98605 101803 106005 117465 118326 183742 197210 203606 212010 234930 275613 289747 295815 305409 459355 509015 551226 579494 591630 610818 869241 918710 1018030 1378065 1448735 1527045 1738482 2756130 2897470 3054090 3766711 4346205 7533422 8692410 11300133 18833555 22600266 37667110 56500665 113001330