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23122120 = 2357247251
BaseRepresentation
bin101100000110…
…1000011001000
31121111201120211
41120031003020
521404401440
62143330504
7400351300
oct130150310
947451524
1023122120
1112062a9a
1278b0a34
134a37538
1430dc600
15206aeea
hex160d0c8

23122120 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 7728000.

The previous prime is 23122117. The next prime is 23122123. The reversal of 23122120 is 2122132.

It is an interprime number because it is at equal distance from previous prime (23122117) and next prime (23122123).

It is a self number, because there is not a number n which added to its sum of digits gives 23122120.

It is not an unprimeable number, because it can be changed into a prime (23122123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91995 + ... + 92245.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 223122120 is an apocalyptic number.

23122120 is a gapful number since it is divisible by the number (20) 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 23122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

23122120 is an abundant number, since it is smaller than the sum of its proper divisors (38930360).

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

23122120 is a wasteful number, since it uses less digits than its factorization.

23122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 23122120 is about 4808.5465579528. The cubic root of 23122120 is about 284.8891330343.

Adding to 23122120 its reverse (2122132), we get a palindrome (25244252).

The spelling of 23122120 in words is "twenty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 251 280 329 376 392 470 490 502 658 940 980 1004 1255 1316 1645 1757 1880 1960 2008 2303 2510 2632 3290 3514 4606 5020 6580 7028 8785 9212 10040 11515 11797 12299 13160 14056 17570 18424 23030 23594 24598 35140 46060 47188 49196 58985 61495 70280 82579 92120 94376 98392 117970 122990 165158 235940 245980 330316 412895 471880 491960 578053 660632 825790 1156106 1651580 2312212 2890265 3303160 4624424 5780530 11561060 23122120