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1201030100 = 2252234491163
BaseRepresentation
bin100011110010110…
…0100001111010100
310002200221122120022
41013211210033110
54424430430400
6315102124312
741522405324
oct10745441724
93080848508
101201030100
11566a4a766
12296280698
13161a952ca
14b571b284
1570690b85
hex479643d4

1201030100 has 72 divisors (see below), whose sum is σ = 2727950400. Its totient is φ = 458106880.

The previous prime is 1201030081. The next prime is 1201030111. The reversal of 1201030100 is 10301021.

It is a super-2 number, since 2×12010301002 = 2884946602212020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032119 + ... + 1033281.

It is an arithmetic number, because the mean of its divisors is an integer number (37888200).

Almost surely, 21201030100 is an apocalyptic number.

1201030100 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 1201030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363975200).

1201030100 is an abundant number, since it is smaller than the sum of its proper divisors (1526920300).

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

1201030100 is a wasteful number, since it uses less digits than its factorization.

1201030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1201030100 is about 34655.8811747732. The cubic root of 1201030100 is about 1062.9625501607.

Adding to 1201030100 its reverse (10301021), we get a palindrome (1211331121).

The spelling of 1201030100 in words is "one billion, two hundred one million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 449 460 575 898 1150 1163 1796 2245 2300 2326 4490 4652 5815 8980 10327 11225 11630 20654 22450 23260 26749 29075 41308 44900 51635 53498 58150 103270 106996 116300 133745 206540 258175 267490 516350 522187 534980 668725 1032700 1044374 1337450 2088748 2610935 2674900 5221870 10443740 12010301 13054675 24020602 26109350 48041204 52218700 60051505 120103010 240206020 300257525 600515050 1201030100