Search a number
-
+
122130300 = 223521572593
BaseRepresentation
bin1110100011110…
…00111101111100
322111210212021110
413101320331330
5222231132200
620041402020
73012043005
oct721707574
9274725243
10122130300
1162a37336
1234a99310
131c3c1766
14123121ac
15aac6b50
hex7478f7c

122130300 has 72 divisors (see below), whose sum is σ = 355751536. Its totient is φ = 32348160.

The previous prime is 122130289. The next prime is 122130343. The reversal of 122130300 is 3031221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45804 + ... + 48396.

Almost surely, 2122130300 is an apocalyptic number.

122130300 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 122130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177875768).

122130300 is an abundant number, since it is smaller than the sum of its proper divisors (233621236).

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

122130300 is a wasteful number, since it uses less digits than its factorization.

122130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 122130300 is about 11051.2578469602. The cubic root of 122130300 is about 496.1440734347.

Adding to 122130300 its reverse (3031221), we get a palindrome (125161521).

It can be divided in two parts, 12 and 2130300, that added together give a palindrome (2130312).

The spelling of 122130300 in words is "one hundred twenty-two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 2593 3140 3925 4710 5186 7779 7850 9420 10372 11775 12965 15558 15700 23550 25930 31116 38895 47100 51860 64825 77790 129650 155580 194475 259300 388950 407101 777900 814202 1221303 1628404 2035505 2442606 4071010 4885212 6106515 8142020 10177525 12213030 20355050 24426060 30532575 40710100 61065150 122130300