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2530140431020 = 2251724143248293
BaseRepresentation
bin100100110100011000000…
…111110010001010101100
322221212201211121002201121
4210310120013302022230
5312423211422243040
65214155214150324
7350540144550226
oct44643007621254
98855654532647
102530140431020
11896032349204
1234a436ab23a4
1315478bba57c7
148a660a35416
1545c34c28c4a
hex24d181f22ac

2530140431020 has 144 divisors (see below), whose sum is σ = 5916377240928. Its totient is φ = 907676098560.

The previous prime is 2530140431009. The next prime is 2530140431023. The reversal of 2530140431020 is 201340410352.

It is a super-2 number, since 2×25301404310202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2530140431023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10065994 + ... + 10314286.

It is an arithmetic number, because the mean of its divisors is an integer number (41085953062).

Almost surely, 22530140431020 is an apocalyptic number.

2530140431020 is a gapful number since it is divisible by the number (20) 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 2530140431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958188620464).

2530140431020 is an abundant number, since it is smaller than the sum of its proper divisors (3386236809908).

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

2530140431020 is a wasteful number, since it uses less digits than its factorization.

2530140431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248420 (or 248401 counting only the distinct ones).

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

Adding to 2530140431020 its reverse (201340410352), we get a palindrome (2731480841372).

The spelling of 2530140431020 in words is "two trillion, five hundred thirty billion, one hundred forty million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 43 68 82 85 86 164 170 172 205 215 289 340 410 430 578 697 731 820 860 1156 1394 1445 1462 1763 2788 2890 2924 3485 3526 3655 5780 6970 7052 7310 8815 11849 12427 13940 14620 17630 23698 24854 29971 35260 47396 49708 59245 59942 62135 118490 119884 124270 149855 236980 248293 248540 299710 496586 509507 599420 993172 1019014 1241465 2038028 2482930 2547535 4220981 4965860 5095070 8441962 10180013 10190140 10676599 16883924 20360026 21104905 21353198 40720052 42209810 42706396 50900065 53382995 71756677 84419620 101800130 106765990 143513354 173060221 181502183 203600260 213531980 287026708 346120442 358783385 363004366 437740559 692240884 717566770 726008732 865301105 875481118 907510915 1435133540 1730602210 1750962236 1815021830 2188702795 2942023757 3085537111 3461204420 3630043660 4377405590 5884047514 6171074222 7441589503 8754811180 11768095028 12342148444 14710118785 14883179006 15427685555 29420237570 29766358012 30855371110 37207947515 58840475140 61710742220 74415895030 126507021551 148831790060 253014043102 506028086204 632535107755 1265070215510 2530140431020