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122321130 = 23523296113
BaseRepresentation
bin1110100101001…
…11100011101010
322112011120001020
413102213203222
5222303234010
620045433310
73013466241
oct722474352
9275146036
10122321130
1163057748
1234b6b836
131c45a589
1412361958
15ab13470
hex74a78ea

122321130 has 64 divisors (see below), whose sum is σ = 316949760. Its totient is φ = 30119936.

The previous prime is 122321123. The next prime is 122321179. The reversal of 122321130 is 31123221.

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

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, 16954 + ... + 23066.

It is an arithmetic number, because the mean of its divisors is an integer number (4952340).

Almost surely, 2122321130 is an apocalyptic number.

122321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158474880).

122321130 is an abundant number, since it is smaller than the sum of its proper divisors (194628630).

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

122321130 is a wasteful number, since it uses less digits than its factorization.

122321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122321130 is about 11059.8883357835. Note that the first 3 decimals coincide. The cubic root of 122321130 is about 496.4023492376.

Adding to 122321130 its reverse (31123221), we get a palindrome (153444351).

The spelling of 122321130 in words is "one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6113 6670 10005 12226 18339 20010 30565 36678 61130 91695 140599 177277 183390 281198 354554 421797 531831 702995 843594 886385 1063662 1405990 1772770 2108985 2659155 4077371 4217970 5318310 8154742 12232113 20386855 24464226 40773710 61160565 122321130