Search a number
-
+
110131320 = 233513227311
BaseRepresentation
bin1101001000001…
…11100001111000
321200020020202210
412210013201320
5211143200240
614532255120
72505046365
oct644074170
9250206683
10110131320
1157191322
1230a714a0
1319a80080
14108ab46c
159a06780
hex6907878

110131320 has 128 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 26903040.

The previous prime is 110131319. The next prime is 110131327. The reversal of 110131320 is 23131011.

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 = 110131296 and 110131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353965 + ... + 354275.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2110131320 is an apocalyptic number.

110131320 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 110131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

110131320 is an abundant number, since it is smaller than the sum of its proper divisors (248394120).

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

110131320 is a wasteful number, since it uses less digits than its factorization.

110131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 110131320 is about 10494.3470497216. The cubic root of 110131320 is about 479.3325793531.

Adding to 110131320 its reverse (23131011), we get a palindrome (133262331).

The spelling of 110131320 in words is "one hundred ten million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 227 260 311 312 390 454 520 622 681 780 908 933 1135 1244 1362 1555 1560 1816 1866 2270 2488 2724 2951 3110 3405 3732 4043 4540 4665 5448 5902 6220 6810 7464 8086 8853 9080 9330 11804 12129 12440 13620 14755 16172 17706 18660 20215 23608 24258 27240 29510 32344 35412 37320 40430 44265 48516 59020 60645 70597 70824 80860 88530 97032 118040 121290 141194 161720 177060 211791 242580 282388 352985 354120 423582 485160 564776 705970 847164 917761 1058955 1411940 1694328 1835522 2117910 2753283 2823880 3671044 4235820 4588805 5506566 7342088 8471640 9177610 11013132 13766415 18355220 22026264 27532830 36710440 55065660 110131320