Search a number
-
+
30214102000 = 2453131115321
BaseRepresentation
bin11100001000111001…
…101001101111110000
32212222200011102002211
4130020321221233300
5443334302231000
621514041021504
72116506425635
oct341071515760
985880142084
1030214102000
11118a5089035
125a32784894
132b06849084
141668a5c18c
15bbc81b7ba
hex708e69bf0

30214102000 has 80 divisors (see below), whose sum is σ = 73616029344. Its totient is φ = 11993280000.

The previous prime is 30214101991. The next prime is 30214102013. The reversal of 30214102000 is 20141203.

It is a tau number, because it is divible by the number of its divisors (80).

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, 204340 + ... + 319660.

Almost surely, 230214102000 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 30214102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808014672).

30214102000 is an abundant number, since it is smaller than the sum of its proper divisors (43401927344).

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

30214102000 is a wasteful number, since it uses less digits than its factorization.

30214102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115475 (or 115459 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 30214102000 its reverse (20141203), we get a palindrome (30234243203).

The spelling of 30214102000 in words is "thirty billion, two hundred fourteen million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5240 6550 10480 13100 16375 26200 32750 52400 65500 115321 131000 230642 262000 461284 576605 922568 1153210 1845136 2306420 2883025 4612840 5766050 9225680 11532100 14415125 15107051 23064200 28830250 30214102 46128400 57660500 60428204 75535255 115321000 120856408 151070510 230642000 241712816 302141020 377676275 604282040 755352550 1208564080 1510705100 1888381375 3021410200 3776762750 6042820400 7553525500 15107051000 30214102000