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30100232200 = 2352438342169
BaseRepresentation
bin11100000010000111…
…010001100000001000
32212200201220020002211
4130002013101200020
5443121124412300
621454452234504
72113624516003
oct340207214010
985621806084
1030100232200
1111846883a65
125a0060ba34
132ab908a4ac
14165789a53a
15bb28274ba
hex7021d1808

30100232200 has 96 divisors (see below), whose sum is σ = 72475048800. Its totient is φ = 11618127360.

The previous prime is 30100232083. The next prime is 30100232203. The reversal of 30100232200 is 223200103.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30100232203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692716 + ... + 734884.

It is an arithmetic number, because the mean of its divisors is an integer number (754948425).

Almost surely, 230100232200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36237524400).

30100232200 is an abundant number, since it is smaller than the sum of its proper divisors (42374816600).

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

30100232200 is a wasteful number, since it uses less digits than its factorization.

30100232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42311 (or 42302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 30100232200 its reverse (223200103), we get a palindrome (30323432303).

The spelling of 30100232200 in words is "thirty billion, one hundred million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 83 86 100 166 172 200 215 332 344 415 430 664 830 860 1075 1660 1720 2075 2150 3320 3569 4150 4300 7138 8300 8600 14276 16600 17845 28552 35690 42169 71380 84338 89225 142760 168676 178450 210845 337352 356900 421690 713800 843380 1054225 1686760 1813267 2108450 3500027 3626534 4216900 7000054 7253068 8433800 9066335 14000108 14506136 17500135 18132670 28000216 35000270 36265340 45331675 70000540 72530680 87500675 90663350 140001080 150501161 175001350 181326700 301002322 350002700 362653400 602004644 700005400 752505805 1204009288 1505011610 3010023220 3762529025 6020046440 7525058050 15050116100 30100232200