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30242031100 = 22527110634007
BaseRepresentation
bin11100001010100100…
…001100010111111100
32220001121201100121221
4130022210030113330
5443413424443400
621520515403124
72120266010611
oct341244142774
986047640557
1030242031100
1111909924636
125a3bbb34a4
132b0c577578
14166c64c508
15bbeed6c1a
hex70a90c5fc

30242031100 has 72 divisors (see below), whose sum is σ = 66628735488. Its totient is φ = 11912241600.

The previous prime is 30242031097. The next prime is 30242031101. The reversal of 30242031100 is 113024203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30242031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7545297 + ... + 7549303.

It is an arithmetic number, because the mean of its divisors is an integer number (925399104).

Almost surely, 230242031100 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 30242031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314367744).

30242031100 is an abundant number, since it is smaller than the sum of its proper divisors (36386704388).

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

30242031100 is a wasteful number, since it uses less digits than its factorization.

30242031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30242031100 its reverse (113024203), we get a palindrome (30355055303).

The spelling of 30242031100 in words is "thirty billion, two hundred forty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1063 1420 1775 2126 3550 4007 4252 5315 7100 8014 10630 16028 20035 21260 26575 40070 53150 75473 80140 100175 106300 150946 200350 284497 301892 377365 400700 568994 754730 1137988 1422485 1509460 1886825 2844970 3773650 4259441 5689940 7112425 7547300 8518882 14224850 17037764 21297205 28449700 42594410 85188820 106486025 212972050 302420311 425944100 604840622 1209681244 1512101555 3024203110 6048406220 7560507775 15121015550 30242031100