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30100424000 = 265310137253
BaseRepresentation
bin11100000010001000…
…000000010101000000
32212200202020222012112
4130002020000111000
5443121202032000
621454500314452
72113626245123
oct340210002500
985622228175
1030100424000
11118469a5079
125a006a2a28
132ab912689a
14165790a3ba
15bb2864235
hex702200540

30100424000 has 112 divisors (see below), whose sum is σ = 75283777296. Its totient is φ = 11920640000.

The previous prime is 30100423981. The next prime is 30100424033. The reversal of 30100424000 is 42400103.

It can be written as a sum of positive squares in 8 ways, for example, as 146506816 + 29953917184 = 12104^2 + 173072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789374 + ... + 826626.

It is an arithmetic number, because the mean of its divisors is an integer number (672176583).

Almost surely, 230100424000 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 30100424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37641888648).

30100424000 is an abundant number, since it is smaller than the sum of its proper divisors (45183353296).

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

30100424000 is a wasteful number, since it uses less digits than its factorization.

30100424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381 (or 37361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 30100424000 its reverse (42400103), we get a palindrome (30142824103).

The spelling of 30100424000 in words is "thirty billion, one hundred million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 16160 20200 25250 32320 37253 40400 50500 74506 80800 101000 149012 161600 186265 202000 298024 372530 404000 596048 745060 808000 931325 1192096 1490120 1862650 2384192 2980240 3725300 3762553 4656625 5960480 7450600 7525106 9313250 11920960 14901200 15050212 18626500 18812765 29802400 30100424 37253000 37625530 59604800 60200848 74506000 75251060 94063825 120401696 149012000 150502120 188127650 240803392 298024000 301004240 376255300 470319125 602008480 752510600 940638250 1204016960 1505021200 1881276500 3010042400 3762553000 6020084800 7525106000 15050212000 30100424000