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121322500 = 2254133733
BaseRepresentation
bin1110011101100…
…11110000000100
322110021211011221
413032303300010
5222024310000
620012210124
73002136625
oct716636004
9273254157
10121322500
1162535432
1234769944
131c19ab80
1412181a4c
15a9b761a
hex73b3c04

121322500 has 60 divisors (see below), whose sum is σ = 285792892. Its totient is φ = 44784000.

The previous prime is 121322491. The next prime is 121322501. The reversal of 121322500 is 5223121.

It can be written as a sum of positive squares in 10 ways, for example, as 108534724 + 12787776 = 10418^2 + 3576^2 .

It is not an unprimeable number, because it can be changed into a prime (121322501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30634 + ... + 34366.

Almost surely, 2121322500 is an apocalyptic number.

121322500 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 121322500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142896446).

121322500 is an abundant number, since it is smaller than the sum of its proper divisors (164470392).

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

121322500 is a wasteful number, since it uses less digits than its factorization.

121322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 121322500 is about 11014.6493362249. The cubic root of 121322500 is about 495.0477796277.

Adding to 121322500 its reverse (5223121), we get a palindrome (126545621).

The spelling of 121322500 in words is "one hundred twenty-one million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 3733 6500 7466 8125 14932 16250 18665 32500 37330 48529 74660 93325 97058 186650 194116 242645 373300 466625 485290 933250 970580 1213225 1866500 2333125 2426450 4666250 4852900 6066125 9332500 12132250 24264500 30330625 60661250 121322500