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10032410342430 = 2325719838129519
BaseRepresentation
bin1001000111111101101001…
…0000010011010000011110
31022112002101221000020102100
42101333122100103100132
52303332334021424210
633200454203105530
72053550323613460
oct221773220232036
938462357006370
1010032410342430
1132187a3103a93
121160421b122a6
1357a08a9ba938
142697dd72a130
15125e754875c0
hex91fda41341e

10032410342430 has 96 divisors (see below), whose sum is σ = 31379569228800. Its totient is φ = 2172431710656.

The previous prime is 10032410342371. The next prime is 10032410342431. The reversal of 10032410342430 is 3424301423001.

10032410342430 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 410 + 3 + 4 + 243 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10032410342394 and 10032410342403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032410342431) 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, 419052790 + ... + 419076729.

It is an arithmetic number, because the mean of its divisors is an integer number (326870512800).

Almost surely, 210032410342430 is an apocalyptic number.

10032410342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032410342430 is an abundant number, since it is smaller than the sum of its proper divisors (21347158886370).

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

10032410342430 is a wasteful number, since it uses less digits than its factorization.

10032410342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838129558 (or 838129555 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10032410342430 its reverse (3424301423001), we get a palindrome (13456711765431).

The spelling of 10032410342430 in words is "ten trillion, thirty-two billion, four hundred ten million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 838129519 1676259038 2514388557 4190647595 5028777114 5866906633 7543165671 8381295190 11733813266 12571942785 15086331342 15924460861 17600719899 25143885570 29334533165 31848921722 35201439798 37715828355 47773382583 52802159697 58669066330 75431656710 79622304305 88003599495 95546765166 105604319394 111471226027 143320147749 159244608610 176007198990 222942452054 238866912915 264010798485 286640295498 334413678081 477733825830 528021596970 557356130135 668827356162 716600738745 1003241034243 1114712260270 1433201477490 1672068390405 2006482068486 3344136780810 5016205171215 10032410342430