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123140220 = 22357417151
BaseRepresentation
bin1110101011011…
…11100001111100
322120201011121220
413111233201330
5223010441340
620115153340
73023450250
oct725574174
9276634556
10123140220
1163567085
12352a5850
131c686348
14124d6260
15ac25ed0
hex756f87c

123140220 has 96 divisors (see below), whose sum is σ = 403716096. Its totient is φ = 27456000.

The previous prime is 123140219. The next prime is 123140221. The reversal of 123140220 is 22041321.

It is an interprime number because it is at equal distance from previous prime (123140219) and next prime (123140221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123140220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123140221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13645 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (4205376).

Almost surely, 2123140220 is an apocalyptic number.

123140220 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 123140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201858048).

123140220 is an abundant number, since it is smaller than the sum of its proper divisors (280575876).

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

123140220 is a wasteful number, since it uses less digits than its factorization.

123140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123140220 is about 11096.8563115866. The cubic root of 123140220 is about 497.5078927731.

Adding to 123140220 its reverse (22041321), we get a palindrome (145181541).

The spelling of 123140220 in words is "one hundred twenty-three million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 7151 8610 14302 17220 21453 28604 35755 42906 50057 71510 85812 100114 107265 143020 150171 200228 214530 250285 293191 300342 429060 500570 586382 600684 750855 879573 1001140 1172764 1465955 1501710 1759146 2052337 2931910 3003420 3518292 4104674 4397865 5863820 6157011 8209348 8795730 10261685 12314022 17591460 20523370 24628044 30785055 41046740 61570110 123140220