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1201010000 = 2454831447
BaseRepresentation
bin100011110010101…
…1111010101010000
310002200220121222212
41013211133111100
54424424310000
6315101451252
741522262611
oct10745372520
93080817885
101201010000
11566a36653
12296270b28
13161a89108
14b5713c08
1570689c35
hex4795f550

1201010000 has 100 divisors (see below), whose sum is σ = 2944832352. Its totient is φ = 474288000.

The previous prime is 1201009963. The next prime is 1201010003. The reversal of 1201010000 is 101021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829277 + ... + 830723.

Almost surely, 21201010000 is an apocalyptic number.

1201010000 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 1201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472416176).

1201010000 is an abundant number, since it is smaller than the sum of its proper divisors (1743822352).

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

1201010000 is an equidigital number, since it uses as much as digits as its factorization.

1201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1201010000 is about 34655.5911794908. The cubic root of 1201010000 is about 1062.9566203436.

Adding to 1201010000 its reverse (101021), we get a palindrome (1201111021).

The spelling of 1201010000 in words is "one billion, two hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 625 664 830 1000 1250 1328 1447 1660 2000 2075 2500 2894 3320 4150 5000 5788 6640 7235 8300 10000 10375 11576 14470 16600 20750 23152 28940 33200 36175 41500 51875 57880 72350 83000 103750 115760 120101 144700 166000 180875 207500 240202 289400 361750 415000 480404 578800 600505 723500 830000 904375 960808 1201010 1447000 1808750 1921616 2402020 2894000 3002525 3617500 4804040 6005050 7235000 9608080 12010100 14470000 15012625 24020200 30025250 48040400 60050500 75063125 120101000 150126250 240202000 300252500 600505000 1201010000