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30703050900 = 22325241899349
BaseRepresentation
bin11100100110000010…
…110110000010010100
32221020202012120220100
4130212002312002110
51000334440112100
622034344534100
72134564424634
oct344602660224
987222176810
1030703050900
1112026087635
125b4a481330
132b83c32052
1416b39786c4
15bea700400
hex7260b6094

30703050900 has 216 divisors, whose sum is σ = 99702603000. Its totient is φ = 7897190400.

The previous prime is 30703050871. The next prime is 30703050943. The reversal of 30703050900 is 905030703.

It can be written as a sum of positive squares in 12 ways, for example, as 15096545424 + 15606505476 = 122868^2 + 124926^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3279426 + ... + 3288774.

It is an arithmetic number, because the mean of its divisors is an integer number (461586125).

Almost surely, 230703050900 is an apocalyptic number.

30703050900 is a gapful number since it is divisible by the number (30) 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 30703050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49851301500).

30703050900 is an abundant number, since it is smaller than the sum of its proper divisors (68999552100).

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

30703050900 is a wasteful number, since it uses less digits than its factorization.

30703050900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9499 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The spelling of 30703050900 in words is "thirty billion, seven hundred three million, fifty thousand, nine hundred".