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10424302013430 = 23251313251271967
BaseRepresentation
bin1001011110110001100011…
…0100011000101111110110
31100220112221112022211001200
42113230120310120233312
52331242432303412210
634100505213433330
72124062631062364
oct227543064305766
940815845284050
1010424302013430
113359a157a8838
12120437179b846
135a8013517266
14280778aa6634
151312600d80c0
hex97b18d18bf6

10424302013430 has 96 divisors (see below), whose sum is σ = 27318580743168. Its totient is φ = 2757735240000.

The previous prime is 10424302013413. The next prime is 10424302013443. The reversal of 10424302013430 is 3431020342401.

10424302013430 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 3 + 0 + 201 + 3 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10424302013394 and 10424302013403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38193307 + ... + 38465273.

It is an arithmetic number, because the mean of its divisors is an integer number (284568549408).

Almost surely, 210424302013430 is an apocalyptic number.

10424302013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424302013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659290371584).

10424302013430 is an abundant number, since it is smaller than the sum of its proper divisors (16894278729738).

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

10424302013430 is a wasteful number, since it uses less digits than its factorization.

10424302013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275362 (or 275359 counting only the distinct ones).

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

Adding to 10424302013430 its reverse (3431020342401), we get a palindrome (13855322355831).

The spelling of 10424302013430 in words is "ten trillion, four hundred twenty-four billion, three hundred two million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3251 3930 5895 6502 9753 11790 16255 19506 29259 32510 48765 58518 97530 146295 271967 292590 425881 543934 815901 851762 1277643 1359835 1631802 2129405 2447703 2555286 2719670 3832929 4079505 4258810 4895406 6388215 7665858 8159010 12238515 12776430 19164645 24477030 35627677 38329290 71255354 106883031 178138385 213766062 320649093 356276770 534415155 641298186 884164717 1068830310 1603245465 1768329434 2652494151 3206490930 4420823585 5304988302 7957482453 8841647170 13262470755 15914964906 26524941510 39787412265 79574824530 115825577927 231651155854 347476733781 579127889635 694953467562 1042430201343 1158255779270 1737383668905 2084860402686 3474767337810 5212151006715 10424302013430