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110030120 = 23517435371
BaseRepresentation
bin1101000111011…
…10110100101000
321200001002221122
412203232310220
5211131430440
614530154412
72504145344
oct643566450
9250032848
10110030120
1157122292
1230a22a08
1319a45ca5
1410882624
1599d67b5
hex68eed28

110030120 has 128 divisors (see below), whose sum is σ = 277136640. Its totient is φ = 39137280.

The previous prime is 110030113. The next prime is 110030131. The reversal of 110030120 is 21030011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110030098 and 110030107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549685 + ... + 1549755.

It is an arithmetic number, because the mean of its divisors is an integer number (2165130).

Almost surely, 2110030120 is an apocalyptic number.

110030120 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 110030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138568320).

110030120 is an abundant number, since it is smaller than the sum of its proper divisors (167106520).

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

110030120 is a wasteful number, since it uses less digits than its factorization.

110030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 110030120 is about 10489.5242980795. The cubic root of 110030120 is about 479.1857143111.

Adding to 110030120 its reverse (21030011), we get a palindrome (131060131).

The spelling of 110030120 in words is "one hundred ten million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 53 68 71 85 86 106 136 142 170 172 212 215 265 284 340 344 355 424 430 530 568 680 710 731 860 901 1060 1207 1420 1462 1720 1802 2120 2279 2414 2840 2924 3053 3604 3655 3763 4505 4558 4828 5848 6035 6106 7208 7310 7526 9010 9116 9656 11395 12070 12212 14620 15052 15265 18020 18232 18815 22790 24140 24424 29240 30104 30530 36040 37630 38743 45580 48280 51901 61060 63971 75260 77486 91160 103802 122120 127942 150520 154972 161809 193715 207604 255884 259505 309944 319855 323618 387430 415208 511768 519010 639710 647236 774860 809045 1038020 1279420 1294472 1549720 1618090 2076040 2558840 2750753 3236180 5501506 6472360 11003012 13753765 22006024 27507530 55015060 110030120