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110311020 = 223253153373
BaseRepresentation
bin1101001001100…
…11011001101100
321200120101021100
412210303121230
5211214423040
614540203100
72506425321
oct644633154
9250511240
10110311020
11572a4336
1230b39490
1319b13ac1
1410916b48
159a3eb30
hex693366c

110311020 has 144 divisors (see below), whose sum is σ = 352864512. Its totient is φ = 27855360.

The previous prime is 110311009. The next prime is 110311027. The reversal of 110311020 is 20113011.

It is a super-2 number, since 2×1103110202 = 24337042266880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110310993 and 110311011.

It is not an unprimeable number, because it can be changed into a prime (110311027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295554 + ... + 295926.

It is an arithmetic number, because the mean of its divisors is an integer number (2450448).

Almost surely, 2110311020 is an apocalyptic number.

110311020 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 110311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256).

110311020 is an abundant number, since it is smaller than the sum of its proper divisors (242553492).

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

110311020 is a wasteful number, since it uses less digits than its factorization.

110311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110311020 is about 10502.9053123410. The cubic root of 110311020 is about 479.5931448242.

Adding to 110311020 its reverse (20113011), we get a palindrome (130424031).

The spelling of 110311020 in words is "one hundred ten million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 53 60 62 90 93 106 124 155 159 180 186 212 265 279 310 318 372 373 465 477 530 558 620 636 746 795 930 954 1060 1116 1119 1395 1492 1590 1643 1860 1865 1908 2238 2385 2790 3180 3286 3357 3730 4476 4770 4929 5580 5595 6572 6714 7460 8215 9540 9858 11190 11563 13428 14787 16430 16785 19716 19769 22380 23126 24645 29574 32860 33570 34689 39538 46252 49290 57815 59148 59307 67140 69378 73935 79076 98580 98845 104067 115630 118614 138756 147870 173445 177921 197690 208134 231260 237228 295740 296535 346890 355842 395380 416268 520335 593070 612839 693780 711684 889605 1040670 1186140 1225678 1779210 1838517 2081340 2451356 3064195 3558420 3677034 5515551 6128390 7354068 9192585 11031102 12256780 18385170 22062204 27577755 36770340 55155510 110311020