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121030320 = 24351014993
BaseRepresentation
bin1110011011011…
…00011010110000
322102201222101110
413031230122300
5221440432240
620002033320
72666512035
oct715543260
9272658343
10121030320
1162355964
1234648840
131c0c7b98
141210738c
15a95ac80
hex736c6b0

121030320 has 80 divisors (see below), whose sum is σ = 378984672. Its totient is φ = 31948800.

The previous prime is 121030309. The next prime is 121030331. The reversal of 121030320 is 23030121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121030309) and next prime (121030331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1210303203 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121030296 and 121030305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21744 + ... + 26736.

Almost surely, 2121030320 is an apocalyptic number.

121030320 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 121030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189492336).

121030320 is an abundant number, since it is smaller than the sum of its proper divisors (257954352).

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

121030320 is a wasteful number, since it uses less digits than its factorization.

121030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

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

The square root of 121030320 is about 11001.3780954933. The cubic root of 121030320 is about 494.6500536491.

Adding to 121030320 its reverse (23030121), we get a palindrome (144060441).

The spelling of 121030320 in words is "one hundred twenty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 4993 6060 8080 9986 12120 14979 19972 24240 24965 29958 39944 49930 59916 74895 79888 99860 119832 149790 199720 239664 299580 399440 504293 599160 1008586 1198320 1512879 2017172 2521465 3025758 4034344 5042930 6051516 7564395 8068688 10085860 12103032 15128790 20171720 24206064 30257580 40343440 60515160 121030320