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110113020 = 22355139163
BaseRepresentation
bin1101001000000…
…11000011111100
321200012022200000
412210003003330
5211142104040
614532034300
72504642133
oct644030374
9250168600
10110113020
11571795a6
1230a62990
1319a74944
14108a491a
159a01130
hex69030fc

110113020 has 144 divisors (see below), whose sum is σ = 351012480. Its totient is φ = 28973376.

The previous prime is 110113019. The next prime is 110113021. The reversal of 110113020 is 20311011.

It is an interprime number because it is at equal distance from previous prime (110113019) and next prime (110113021).

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 = 110112993 and 110113011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110113021) 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, 675459 + ... + 675621.

Almost surely, 2110113020 is an apocalyptic number.

110113020 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 110113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175506240).

110113020 is an abundant number, since it is smaller than the sum of its proper divisors (240899460).

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

110113020 is a wasteful number, since it uses less digits than its factorization.

110113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

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

The square root of 110113020 is about 10493.4751155182. The cubic root of 110113020 is about 479.3060284073.

Adding to 110113020 its reverse (20311011), we get a palindrome (130424031).

The spelling of 110113020 in words is "one hundred ten million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 139 162 163 180 243 270 278 324 326 405 417 486 489 540 556 652 695 810 815 834 972 978 1215 1251 1390 1467 1620 1630 1668 1956 2085 2430 2445 2502 2780 2934 3260 3753 4170 4401 4860 4890 5004 5868 6255 7335 7506 8340 8802 9780 11259 12510 13203 14670 15012 17604 18765 22005 22518 22657 25020 26406 29340 33777 37530 39609 44010 45036 45314 52812 56295 66015 67554 67971 75060 79218 88020 90628 112590 113285 132030 135108 135942 158436 168885 198045 203913 225180 226570 264060 271884 337770 339855 396090 407826 453140 611739 675540 679710 792180 815652 1019565 1223478 1359420 1835217 2039130 2446956 3058695 3670434 4078260 5505651 6117390 7340868 9176085 11011302 12234780 18352170 22022604 27528255 36704340 55056510 110113020