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113023020 = 223511199013
BaseRepresentation
bin1101011110010…
…01100000101100
321212200011102210
412233021200230
5212413214040
615114250420
72541452115
oct657114054
9255604383
10113023020
1158886960
1231a26a10
131a553336
141102120c
159dc8480
hex6bc982c

113023020 has 96 divisors (see below), whose sum is σ = 363444480. Its totient is φ = 25954560.

The previous prime is 113023007. The next prime is 113023051. The reversal of 113023020 is 20320311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113022987 and 113023005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8034 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (3785880).

Almost surely, 2113023020 is an apocalyptic number.

113023020 is a gapful number since it is divisible by the number (10) 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 113023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181722240).

113023020 is an abundant number, since it is smaller than the sum of its proper divisors (250421460).

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

113023020 is a wasteful number, since it uses less digits than its factorization.

113023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113023020 is about 10631.2285273152. The cubic root of 113023020 is about 483.4916400451.

Adding to 113023020 its reverse (20320311), we get a palindrome (133343331).

The spelling of 113023020 in words is "one hundred thirteen million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 9013 12540 18026 27039 36052 45065 54078 90130 99143 108156 135195 171247 180260 198286 270390 297429 342494 396572 495715 513741 540780 594858 684988 856235 991430 1027482 1189716 1487145 1712470 1883717 1982860 2054964 2568705 2974290 3424940 3767434 5137410 5651151 5948580 7534868 9418585 10274820 11302302 18837170 22604604 28255755 37674340 56511510 113023020