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113023032210 = 233511311122363
BaseRepresentation
bin110100101000010110…
…0101001101110010010
3101210201202202220222000
41221100230221232102
53322432344012320
6123531055454430
711110546631304
oct1512054515622
9353652686860
10113023032210
1143a29611a40
1219aa3227416
13a8728b6a6a
1456828a3974
152e176dac90
hex1a50b29b92

113023032210 has 128 divisors (see below), whose sum is σ = 329854187520. Its totient is φ = 27311198400.

The previous prime is 113023032197. The next prime is 113023032251. The reversal of 113023032210 is 12230320311.

113023032210 is a `hidden beast` number, since 1 + 1 + 302 + 30 + 322 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862489 + ... + 984851.

It is an arithmetic number, because the mean of its divisors is an integer number (2576985840).

Almost surely, 2113023032210 is an apocalyptic number.

113023032210 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 113023032210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164927093760).

113023032210 is an abundant number, since it is smaller than the sum of its proper divisors (216831155310).

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

113023032210 is a wasteful number, since it uses less digits than its factorization.

113023032210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122701 (or 122695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113023032210 its reverse (12230320311), we get a palindrome (125253352521).

The spelling of 113023032210 in words is "one hundred thirteen billion, twenty-three million, thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 311 330 495 594 622 933 990 1485 1555 1866 2799 2970 3110 3421 4665 5598 6842 8397 9330 10263 13995 16794 17105 20526 27990 30789 34210 41985 51315 61578 83970 92367 102630 122363 153945 184734 244726 307890 367089 461835 611815 734178 923670 1101267 1223630 1345993 1835445 2202534 2691986 3303801 3670890 4037979 5506335 6607602 6729965 8075958 11012670 12113937 13459930 16519005 20189895 24227874 33038010 36341811 38054893 40379790 60569685 72683622 76109786 114164679 121139370 181709055 190274465 228329358 342494037 363418110 380548930 418603823 570823395 684988074 837207646 1027482111 1141646790 1255811469 1712470185 2054964222 2093019115 2511622938 3424940370 3767434407 4186038230 5137410555 6279057345 7534868814 10274821110 11302303221 12558114690 18837172035 22604606442 37674344070 56511516105 113023032210