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10232323320100 = 2252726133406573
BaseRepresentation
bin1001010011100110010111…
…1111110010100100100100
31100020012102012112201201111
42110321211333302210210
52320121244232220400
633432355304034404
72104155340106200
oct224714577624444
940205365481644
1010232323320100
11329555a838002
121193114462a04
13592b99c8b2bb
14275366037b00
1512b275e6c3ba
hex94e65ff2924

10232323320100 has 108 divisors (see below), whose sum is σ = 25871451076884. Its totient is φ = 3502501067520.

The previous prime is 10232323320083. The next prime is 10232323320101. The reversal of 10232323320100 is 102332323201.

It can be written as a sum of positive squares in 6 ways, for example, as 654895273536 + 9577428046564 = 809256^2 + 3094742^2 .

It is not an unprimeable number, because it can be changed into a prime (10232323320101) 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 35 ways as a sum of consecutive naturals, for example, 1300414 + ... + 4706986.

Almost surely, 210232323320100 is an apocalyptic number.

10232323320100 is a gapful number since it is divisible by the number (10) 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 10232323320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935725538442).

10232323320100 is an abundant number, since it is smaller than the sum of its proper divisors (15639127756784).

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

10232323320100 is a wasteful number, since it uses less digits than its factorization.

10232323320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407214 (or 3407200 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10232323320100 its reverse (102332323201), we get a palindrome (10334655643301).

The spelling of 10232323320100 in words is "ten trillion, two hundred thirty-two billion, three hundred twenty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 613 700 980 1225 1226 2450 2452 3065 4291 4900 6130 8582 12260 15325 17164 21455 30037 30650 42910 60074 61300 85820 107275 120148 150185 214550 300370 429100 600740 750925 1501850 3003700 3406573 6813146 13626292 17032865 23846011 34065730 47692022 68131460 85164325 95384044 119230055 166922077 170328650 238460110 333844154 340657300 476920220 596150275 667688308 834610385 1192300550 1669220770 2088229249 2384601100 3338441540 4173051925 4176458498 8346103850 8352916996 10441146245 14617604743 16692207700 20882292490 29235209486 41764584980 52205731225 58470418972 73088023715 102323233201 104411462450 146176047430 204646466402 208822924900 292352094860 365440118575 409292932804 511616166005 730880237150 1023232332010 1461760474300 2046464664020 2558080830025 5116161660050 10232323320100