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1201100420 = 2251322920173
BaseRepresentation
bin100011110010111…
…0101011010000100
310002201002020000202
41013211311122010
54424440203140
6315103430032
741523120332
oct10745653204
93081066022
101201100420
11566a98583
122962b5318
13161abb310
14b5738b52
15706a6915
hex47975684

1201100420 has 48 divisors (see below), whose sum is σ = 2728331760. Its totient is φ = 441524736.

The previous prime is 1201100413. The next prime is 1201100423. The reversal of 1201100420 is 240011021.

It can be written as a sum of positive squares in 8 ways, for example, as 153412996 + 1047687424 = 12386^2 + 32368^2 .

It is not an unprimeable number, because it can be changed into a prime (1201100423) 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, 49454 + ... + 69626.

It is an arithmetic number, because the mean of its divisors is an integer number (56840245).

Almost surely, 21201100420 is an apocalyptic number.

1201100420 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 1201100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364165880).

1201100420 is an abundant number, since it is smaller than the sum of its proper divisors (1527231340).

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

1201100420 is a wasteful number, since it uses less digits than its factorization.

1201100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20424 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1201100420 is about 34656.8957063382. The cubic root of 1201100420 is about 1062.9832951494.

Adding to 1201100420 its reverse (240011021), we get a palindrome (1441111441).

The spelling of 1201100420 in words is "one billion, two hundred one million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 11908 14885 20173 29770 40346 59540 80692 100865 201730 262249 403460 524498 1048996 1311245 2622490 4619617 5244980 9239234 18478468 23098085 46196170 60055021 92392340 120110042 240220084 300275105 600550210 1201100420