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30041324100520 = 235191372281126491
BaseRepresentation
bin1101101010010100010100…
…11100111001101110101000
310221100220220112021120102121
412311022022130321232220
512414144112432204040
6143520443242041024
76220262005425325
oct665121234715650
9127326815246377
1030041324100520
1196324aa308447
1234522627a9174
13139bb66917435
1475c01774db4c
1537169cb61c4a
hex1b528a739ba8

30041324100520 has 128 divisors (see below), whose sum is σ = 71701838409600. Its totient is φ = 11295941529600.

The previous prime is 30041324100479. The next prime is 30041324100521. The reversal of 30041324100520 is 2500142314003.

It is not an unprimeable number, because it can be changed into a prime (30041324100521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237434475 + ... + 237560965.

It is an arithmetic number, because the mean of its divisors is an integer number (560170612575).

Almost surely, 230041324100520 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 30041324100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35850919204800).

30041324100520 is an abundant number, since it is smaller than the sum of its proper divisors (41660514309080).

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

30041324100520 is a wasteful number, since it uses less digits than its factorization.

30041324100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128939 (or 128935 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 30041324100520 its reverse (2500142314003), we get a palindrome (32541466414523).

The spelling of 30041324100520 in words is "thirty trillion, forty-one billion, three hundred twenty-four million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 137 152 190 274 380 548 685 760 1096 1370 2281 2603 2740 4562 5206 5480 9124 10412 11405 13015 18248 20824 22810 26030 43339 45620 52060 86678 91240 104120 126491 173356 216695 252982 312497 346712 433390 505964 624994 632455 866780 1011928 1249988 1264910 1562485 1733560 2403329 2499976 2529820 3124970 4806658 5059640 5937443 6249940 9613316 11874886 12016645 12499880 17329267 19226632 23749772 24033290 29687215 34658534 47499544 48066580 59374430 69317068 86646335 96133160 118748860 138634136 173292670 237497720 288525971 329256073 346585340 577051942 658512146 693170680 1154103884 1317024292 1442629855 1646280365 2308207768 2634048584 2885259710 3292560730 5481993449 5770519420 6585121460 10963986898 11541038840 13170242920 21927973796 27409967245 39528058027 43855947592 54819934490 79056116054 109639868980 158112232108 197640290135 219279737960 316224464216 395280580270 751033102513 790561160540 1502066205026 1581122321080 3004132410052 3755165512565 6008264820104 7510331025130 15020662050260 30041324100520