Search a number
-
+
30040203101320 = 23531412879205237
BaseRepresentation
bin1101101010010010001111…
…01000101000010010001000
310221100211000101220220121201
412311021013220220102020
512414134313443220240
6143520140115113544
76220222144202146
oct665110750502210
9127324011826551
1030040203101320
119631a84560125
123451bab2a28b4
13139ba185c35b9
1475bd4c906596
1537163452dd9a
hex1b5247a28488

30040203101320 has 128 divisors (see below), whose sum is σ = 71497694822400. Its totient is φ = 11340848793600.

The previous prime is 30040203101317. The next prime is 30040203101323. The reversal of 30040203101320 is 2310130204003.

It is an interprime number because it is at equal distance from previous prime (30040203101317) and next prime (30040203101323).

It is not an unprimeable number, because it can be changed into a prime (30040203101323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146265742 + ... + 146470978.

It is an arithmetic number, because the mean of its divisors is an integer number (558575740800).

Almost surely, 230040203101320 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 30040203101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748847411200).

30040203101320 is an abundant number, since it is smaller than the sum of its proper divisors (41457491721080).

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

30040203101320 is a wasteful number, since it uses less digits than its factorization.

30040203101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208199 (or 208195 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30040203101320 its reverse (2310130204003), we get a palindrome (32350333305323).

The spelling of 30040203101320 in words is "thirty trillion, forty billion, two hundred three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 2879 5084 5758 6355 10168 11516 12710 14395 23032 25420 28790 50840 57580 89249 115160 118039 178498 205237 236078 356996 410474 446245 472156 590195 713992 820948 892490 944312 1026185 1180390 1641896 1784980 2052370 2360780 3569960 3659209 4104740 4721560 6362347 7318418 8209480 8414717 12724694 14636836 16829434 18296045 25449388 29273672 31811735 33658868 36592090 42073585 50898776 63623470 67317736 73184180 84147170 127246940 146368360 168294340 254493880 260856227 336588680 521712454 590877323 1043424908 1181754646 1304281135 2086849816 2363509292 2608562270 2954386615 4727018584 5217124540 5908773230 10434249080 11817546460 18317197013 23635092920 24225970243 36634394026 48451940486 73268788052 91585985065 96903880972 121129851215 146537576104 183171970130 193807761944 242259702430 366343940260 484519404860 732687880520 751005077533 969038809720 1502010155066 3004020310132 3755025387665 6008040620264 7510050775330 15020101550660 30040203101320