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30101030100 = 22325233445589
BaseRepresentation
bin11100000010001010…
…010100010011010100
32212200210101202121200
4130002022110103110
5443121330430400
621454521312500
72113634351151
oct340212242324
985623352550
1030101030100
1111847279489
125a00935730
132ab92a971b
141657a27228
15bb2933b00
hex7022944d4

30101030100 has 54 divisors (see below), whose sum is σ = 94350009390. Its totient is φ = 8026941120.

The previous prime is 30101030081. The next prime is 30101030107. The reversal of 30101030100 is 103010103.

It can be written as a sum of positive squares in 3 ways, for example, as 10587175236 + 19513854864 = 102894^2 + 139692^2 .

It is a super-2 number, since 2×301010301002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16721895 + ... + 16723694.

Almost surely, 230101030100 is an apocalyptic number.

30101030100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30101030100 is an abundant number, since it is smaller than the sum of its proper divisors (64248979290).

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

30101030100 is a wasteful number, since it uses less digits than its factorization.

30101030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33445609 (or 33445599 counting only the distinct ones).

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

Adding to 30101030100 its reverse (103010103), we get a palindrome (30204040203).

The spelling of 30101030100 in words is "thirty billion, one hundred one million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 33445589 66891178 100336767 133782356 167227945 200673534 301010301 334455890 401347068 501683835 602020602 668911780 836139725 1003367670 1204041204 1505051505 1672279450 2006735340 2508419175 3010103010 3344558900 5016838350 6020206020 7525257525 10033676700 15050515050 30101030100