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2102341023024 = 243117176173693
BaseRepresentation
bin11110100101111101010…
…010100011010100110000
321102222111202112111002020
4132211331102203110300
5233421043300214044
64245445132151440
7304613653563414
oct36457522432460
97388452474066
102102341023024
11740663777160
1229b545908580
13123333080328
1473a7a7bad44
1539a479dda19
hex1e97d4a3530

2102341023024 has 160 divisors (see below), whose sum is σ = 6016203652608. Its totient is φ = 627266304000.

The previous prime is 2102341023019. The next prime is 2102341023043. The reversal of 2102341023024 is 4203201432012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2102341022985 and 2102341023003.

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, 28491522 + ... + 28565214.

Almost surely, 22102341023024 is an apocalyptic number.

2102341023024 is a gapful number since it is divisible by the number (24) 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 2102341023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008101826304).

2102341023024 is an abundant number, since it is smaller than the sum of its proper divisors (3913862629584).

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

2102341023024 is a wasteful number, since it uses less digits than its factorization.

2102341023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74547 (or 74541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2102341023024 its reverse (4203201432012), we get a palindrome (6305542455036).

The spelling of 2102341023024 in words is "two trillion, one hundred two billion, three hundred forty-one million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 761 781 852 1136 1522 1562 1704 2283 2343 3044 3124 3408 4566 4686 6088 6248 8371 9132 9372 12176 12496 16742 18264 18744 25113 33484 36528 37488 50226 54031 66968 73693 100452 108062 133936 147386 162093 200904 216124 221079 294772 324186 401808 432248 442158 589544 594341 648372 810623 864496 884316 1179088 1188682 1296744 1621246 1768632 1783023 2377364 2431869 2593488 3242492 3537264 3566046 4754728 4863738 5232203 6484984 7132092 9509456 9727476 10464406 12969968 14264184 15696609 19454952 20928812 28528368 31393218 38909904 41857624 56080373 57554233 62786436 83715248 112160746 115108466 125572872 168241119 172662699 224321492 230216932 251145744 336482238 345325398 448642984 460433864 616884103 672964476 690650796 897285968 920867728 1233768206 1345928952 1381301592 1850652309 2467536412 2691857904 2762603184 3701304618 3981706483 4935072824 7402609236 7963412966 9870145648 11945119449 14805218472 15926825932 23890238898 29610436944 31853651864 43798771313 47780477796 63707303728 87597542626 95560955592 131396313939 175195085252 191121911184 262792627878 350390170504 525585255756 700780341008 1051170511512 2102341023024