Search a number
-
+
30033001132212 = 223131499671336169
BaseRepresentation
bin1101101010000100110100…
…10111010011000010110100
310221100010102111010222022010
412311002122113103002310
512414030041242212322
6143512545324004220
76216545523364521
oct665023227230264
9127303374128263
1030033001132212
119629a191a9141
12345071b390670
13139b13b4c4010
1475b868214148
1537136211c20c
hex1b509a5d30b4

30033001132212 has 96 divisors (see below), whose sum is σ = 76052658528000. Its totient is φ = 9169404797952.

The previous prime is 30033001132201. The next prime is 30033001132241. The reversal of 30033001132212 is 21223110033003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21808864 + ... + 23145032.

It is an arithmetic number, because the mean of its divisors is an integer number (792215193000).

Almost surely, 230033001132212 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 30033001132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38026329264000).

30033001132212 is an abundant number, since it is smaller than the sum of its proper divisors (46019657395788).

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

30033001132212 is a wasteful number, since it uses less digits than its factorization.

30033001132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337305 (or 1337303 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30033001132212 its reverse (21223110033003), we get a palindrome (51256111165215).

The spelling of 30033001132212 in words is "thirty trillion, thirty-three billion, one million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 967 1788 1934 1937 2901 3868 3874 5802 5811 7748 11604 11622 12571 23244 25142 37713 50284 75426 144083 150852 288166 432249 576332 864498 1336169 1728996 1873079 2672338 3746158 4008507 5344676 5619237 7492316 8017014 11238474 16034028 17370197 22476948 34740394 52110591 69480788 104221182 199089181 208442364 398178362 597267543 796356724 1194535086 1292075423 2389070172 2584150846 2588159353 3876226269 5168301692 5176318706 7752452538 7764478059 10352637412 15504905076 15528956118 16796980499 31057912236 33593960998 50390941497 67187921996 100781882994 192519238027 201563765988 385038476054 577557714081 770076952108 1155115428162 2310230856324 2502750094351 5005500188702 7508250283053 10011000377404 15016500566106 30033001132212