Search a number
-
+
30200302500 = 2235418122247
BaseRepresentation
bin11100001000000101…
…000000101110100100
32212221201012022202020
4130020011000232210
5443322234140000
621512425143140
72116251223104
oct341005005644
985851168666
1030200302500
1111898313295
125a2a02aab0
132b03a26ca4
141666ca9204
15bbb4e2ba0
hex708140ba4

30200302500 has 120 divisors (see below), whose sum is σ = 88546506048. Its totient is φ = 8008560000.

The previous prime is 30200302493. The next prime is 30200302501. The reversal of 30200302500 is 520300203.

It is a super-3 number, since 3×302003025003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30200302500.

It is not an unprimeable number, because it can be changed into a prime (30200302501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1346377 + ... + 1368623.

Almost surely, 230200302500 is an apocalyptic number.

30200302500 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 30200302500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44273253024).

30200302500 is an abundant number, since it is smaller than the sum of its proper divisors (58346203548).

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

30200302500 is a wasteful number, since it uses less digits than its factorization.

30200302500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22455 (or 22438 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 30200302500 its reverse (520300203), we get a palindrome (30720602703).

The spelling of 30200302500 in words is "thirty billion, two hundred million, three hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 181 250 300 362 375 500 543 625 724 750 905 1086 1250 1500 1810 1875 2172 2500 2715 3620 3750 4525 5430 7500 9050 10860 13575 18100 22247 22625 27150 44494 45250 54300 66741 67875 88988 90500 111235 113125 133482 135750 222470 226250 266964 271500 333705 339375 444940 452500 556175 667410 678750 1112350 1334820 1357500 1668525 2224700 2780875 3337050 4026707 5561750 6674100 8053414 8342625 11123500 12080121 13904375 16106828 16685250 20133535 24160242 27808750 33370500 40267070 41713125 48320484 55617500 60400605 80534140 83426250 100667675 120801210 166852500 201335350 241602420 302003025 402670700 503338375 604006050 1006676750 1208012100 1510015125 2013353500 2516691875 3020030250 5033383750 6040060500 7550075625 10066767500 15100151250 30200302500