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10247110380 = 22325134379107
BaseRepresentation
bin10011000101100011…
…00111111011101100
3222110010202010211200
421202301213323230
5131441230013010
64412451045500
7511635000243
oct114261477354
928403663750
1010247110380
114389254771
121b9b8a0890
13c73c5a830
146d2cc995a
153ee920cc0
hex262c67eec

10247110380 has 72 divisors (see below), whose sum is σ = 33473901552. Its totient is φ = 2522365056.

The previous prime is 10247110339. The next prime is 10247110387. The reversal of 10247110380 is 8301174201.

10247110380 is a `hidden beast` number, since 10 + 2 + 471 + 103 + 80 = 666.

It is a super-2 number, since 2×102471103802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10247110387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187214 + ... + 2191893.

Almost surely, 210247110380 is an apocalyptic number.

10247110380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10247110380 is an abundant number, since it is smaller than the sum of its proper divisors (23226791172).

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

10247110380 is a wasteful number, since it uses less digits than its factorization.

10247110380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379135 (or 4379130 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10247110380 its reverse (8301174201), we get a palindrome (18548284581).

The spelling of 10247110380 in words is "ten billion, two hundred forty-seven million, one hundred ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4379107 8758214 13137321 17516428 21895535 26274642 39411963 43791070 52549284 56928391 65686605 78823926 87582140 113856782 131373210 157647852 170785173 197059815 227713564 262746420 284641955 341570346 394119630 512355519 569283910 683140692 788239260 853925865 1024711038 1138567820 1707851730 2049422076 2561777595 3415703460 5123555190 10247110380