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122123130 = 2355389863
BaseRepresentation
bin1110100011101…
…11001101111010
322111210111102220
413101313031322
5222230420010
620041304510
73012013053
oct721671572
9274714386
10122123130
1162a31a08
1234a95136
131c3bb40c
141230d72a
15aac4970
hex747737a

122123130 has 64 divisors (see below), whose sum is σ = 302330880. Its totient is φ = 31556096.

The previous prime is 122123119. The next prime is 122123137. The reversal of 122123130 is 31321221.

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

It is not an unprimeable number, because it can be changed into a prime (122123137) 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, 141079 + ... + 141941.

It is an arithmetic number, because the mean of its divisors is an integer number (4723920).

Almost surely, 2122123130 is an apocalyptic number.

122123130 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 122123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151165440).

122123130 is an abundant number, since it is smaller than the sum of its proper divisors (180207750).

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

122123130 is a wasteful number, since it uses less digits than its factorization.

122123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015.

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

The square root of 122123130 is about 11050.9334447367. The cubic root of 122123130 is about 496.1343640707.

Adding to 122123130 its reverse (31321221), we get a palindrome (153444351).

The spelling of 122123130 in words is "one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 89 106 159 178 265 267 318 445 530 534 795 863 890 1335 1590 1726 2589 2670 4315 4717 5178 8630 9434 12945 14151 23585 25890 28302 45739 47170 70755 76807 91478 137217 141510 153614 228695 230421 274434 384035 457390 460842 686085 768070 1152105 1372170 2304210 4070771 8141542 12212313 20353855 24424626 40707710 61061565 122123130