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121300020 = 223253132153
BaseRepresentation
bin1110011101011…
…10010000110100
322110020200100100
413032232100310
5222023100040
620011514100
73002014242
oct716562064
9273220310
10121300020
116251a556
1234758930
131c19087a
1412177792
15a9b0b30
hex73ae434

121300020 has 72 divisors (see below), whose sum is σ = 369290376. Its totient is φ = 32228352.

The previous prime is 121300019. The next prime is 121300027. The reversal of 121300020 is 20003121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 111640356 = 3108^2 + 10566^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121299975 and 121300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121300027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55264 + ... + 57416.

It is an arithmetic number, because the mean of its divisors is an integer number (5129033).

Almost surely, 2121300020 is an apocalyptic number.

121300020 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 121300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184645188).

121300020 is an abundant number, since it is smaller than the sum of its proper divisors (247990356).

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

121300020 is a wasteful number, since it uses less digits than its factorization.

121300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 121300020 is about 11013.6288297727. The cubic root of 121300020 is about 495.0172017285.

Adding to 121300020 its reverse (20003121), we get a palindrome (141303141).

The spelling of 121300020 in words is "one hundred twenty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2153 2817 3130 3756 4306 4695 5634 6260 6459 8612 9390 10765 11268 12918 14085 18780 19377 21530 25836 28170 32295 38754 43060 56340 64590 77508 96885 129180 193770 387540 673889 1347778 2021667 2695556 3369445 4043334 6065001 6738890 8086668 10108335 12130002 13477780 20216670 24260004 30325005 40433340 60650010 121300020