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1201200100 = 225231338377
BaseRepresentation
bin100011110011000…
…1101101111100100
310002201021021202121
41013212031233210
54430001400400
6315105515324
741524014052
oct10746155744
93081237677
101201200100
11567056461
12296342b44
13161b247b9
14b57631d2
15706c621a
hex4798dbe4

1201200100 has 36 divisors (see below), whose sum is σ = 2615000164. Its totient is φ = 478932480.

The previous prime is 1201200073. The next prime is 1201200107. The reversal of 1201200100 is 10021021.

It can be written as a sum of positive squares in 6 ways, for example, as 700872676 + 500327424 = 26474^2 + 22368^2 .

It is not an unprimeable number, because it can be changed into a prime (1201200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12112 + ... + 50488.

Almost surely, 21201200100 is an apocalyptic number.

1201200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201200100 is an abundant number, since it is smaller than the sum of its proper divisors (1413800064).

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

1201200100 is a wasteful number, since it uses less digits than its factorization.

1201200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38704 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1201200100 is about 34658.3337741444. Note that the first 3 decimals coincide. The cubic root of 1201200100 is about 1063.0127001967.

Adding to 1201200100 its reverse (10021021), we get a palindrome (1211221121).

The spelling of 1201200100 in words is "one billion, two hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 6260 7825 15650 31300 38377 76754 153508 191885 383770 767540 959425 1918850 3837700 12012001 24024002 48048004 60060005 120120010 240240020 300300025 600600050 1201200100