Search a number
-
+
10510122071025 = 3252238924194687
BaseRepresentation
bin1001100011110001010000…
…0101111011001111110001
31101012202110110220110011100
42120330110011323033301
52334144212222233100
634204141115235013
72133221423404053
oct230742405731761
941182413813140
1010510122071025
113392354a02275
121218b22748a69
135b313c364225
1428499a7ad8d3
151335d44e8400
hex98f1417b3f1

10510122071025 has 144 divisors (see below), whose sum is σ = 19946610478080. Its totient is φ = 5279388364800.

The previous prime is 10510122071023. The next prime is 10510122071153. The reversal of 10510122071025 is 52017022101501.

10510122071025 is a `hidden beast` number, since 1 + 0 + 510 + 122 + 0 + 7 + 1 + 0 + 25 = 666.

It is not a de Polignac number, because 10510122071025 - 21 = 10510122071023 is a prime.

It is a super-2 number, since 2×105101220710252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10510122071025.

It is not an unprimeable number, because it can be changed into a prime (10510122071023) 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 143 ways as a sum of consecutive naturals, for example, 110951232 + ... + 111045918.

It is an arithmetic number, because the mean of its divisors is an integer number (138518128320).

Almost surely, 210510122071025 is an apocalyptic number.

10510122071025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10510122071025 is a deficient number, since it is larger than the sum of its proper divisors (9436488407055).

10510122071025 is a wasteful number, since it uses less digits than its factorization.

10510122071025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95056 (or 95048 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 10510122071025 its reverse (52017022101501), we get a palindrome (62527144172526).

The spelling of 10510122071025 in words is "ten trillion, five hundred ten billion, one hundred twenty-two million, seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 89 115 207 225 241 267 345 445 575 723 801 1035 1205 1335 1725 2047 2169 2225 3615 4005 5175 5543 6025 6141 6675 10235 10845 16629 18075 18423 20025 21449 27715 30705 49887 51175 54225 64347 83145 92115 94687 107245 138575 153525 193041 249435 284061 321735 415725 460575 473435 493327 536225 852183 965205 1247175 1420305 1479981 1608675 2177801 2367175 2466635 4260915 4439943 4826025 6533403 7101525 7399905 8427143 10889005 12333175 19600209 21304575 22199715 22819567 25281429 32667015 36999525 42135715 54445025 68458701 75844287 98001045 110998575 114097835 126407145 163335075 193824289 205376103 210678575 342293505 379221435 490005225 524850041 570489175 581472867 632035725 969121445 1026880515 1574550123 1711467525 1744418601 1896107175 2030941463 2624250205 2907364335 4723650369 4845607225 5134402575 6092824389 7872750615 8722093005 10154707315 13121251025 14536821675 18278473167 23618251845 30464121945 39363753075 43610465025 46711653649 50773536575 91392365835 118091259225 140134960947 152320609725 233558268245 420404882841 456961829175 700674804735 1167791341225 2102024414205 3503374023675 10510122071025