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120031220 = 22517536661
BaseRepresentation
bin1110010011110…
…00011111110100
322100212012212202
413021320133310
5221211444340
615524404032
72655151151
oct711703764
9270765782
10120031220
1161833261
1234246618
131bb381ba
1411d27228
15a80ec15
hex72787f4

120031220 has 48 divisors (see below), whose sum is σ = 271969488. Its totient is φ = 44328960.

The previous prime is 120031213. The next prime is 120031229. The reversal of 120031220 is 22130021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23755876 + 96275344 = 4874^2 + 9812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14690 + ... + 21350.

It is an arithmetic number, because the mean of its divisors is an integer number (5666031).

Almost surely, 2120031220 is an apocalyptic number.

120031220 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 120031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135984744).

120031220 is an abundant number, since it is smaller than the sum of its proper divisors (151938268).

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

120031220 is a wasteful number, since it uses less digits than its factorization.

120031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120031220 is about 10955.8760489520. The cubic root of 120031220 is about 493.2851862354.

Adding to 120031220 its reverse (22130021), we get a palindrome (142161241).

The spelling of 120031220 in words is "one hundred twenty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 6661 9010 13322 18020 26644 33305 66610 113237 133220 226474 353033 452948 566185 706066 1132370 1412132 1765165 2264740 3530330 6001561 7060660 12003122 24006244 30007805 60015610 120031220