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30202440100 = 22527160726849
BaseRepresentation
bin11100001000001101…
…001010100110100100
32212221212012220222121
4130020031022212210
5443323311040400
621512543035324
72116305335140
oct341015124644
985855186877
1030202440100
11118995432a8
125a2a89bb44
132b042c4c41
1416672a4220
15bbb7b621a
hex70834a9a4

30202440100 has 72 divisors (see below), whose sum is σ = 74951452800. Its totient is φ = 10348293120.

The previous prime is 30202440097. The next prime is 30202440127. The reversal of 30202440100 is 104420203.

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, 1111476 + ... + 1138324.

It is an arithmetic number, because the mean of its divisors is an integer number (1040992400).

Almost surely, 230202440100 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 30202440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475726400).

30202440100 is an abundant number, since it is smaller than the sum of its proper divisors (44749012700).

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

30202440100 is a wasteful number, since it uses less digits than its factorization.

30202440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28477 (or 28470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30202440100 its reverse (104420203), we get a palindrome (30306860303).

The spelling of 30202440100 in words is "thirty billion, two hundred two million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1607 3214 6428 8035 11249 16070 22498 26849 32140 40175 44996 53698 56245 80350 107396 112490 134245 160700 187943 224980 268490 281225 375886 536980 562450 671225 751772 939715 1124900 1342450 1879430 2684900 3758860 4698575 9397150 18794300 43146343 86292686 172585372 215731715 302024401 431463430 604048802 862926860 1078658575 1208097604 1510122005 2157317150 3020244010 4314634300 6040488020 7550610025 15101220050 30202440100