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10023555412125 = 325323338239601
BaseRepresentation
bin1001000111011100101001…
…1101011011000010011101
31022111020112210220011121200
42101313022131123002131
52303211220141142000
633152431403150113
72053115022136233
oct221671235330235
938436483804550
1010023555412125
113214a69797872
12115a770515339
135792a93013c8
142691dd6b8953
15125b07db4500
hex91dca75b09d

10023555412125 has 48 divisors (see below), whose sum is σ = 18146679608304. Its totient is φ = 5322952320000.

The previous prime is 10023555412099. The next prime is 10023555412249. The reversal of 10023555412125 is 52121455532001.

10023555412125 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 55 + 541 + 21 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7108057216836 + 2915498195289 = 2666094^2 + 1707483^2 .

It is not a de Polignac number, because 10023555412125 - 26 = 10023555412061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023555412125.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18857676 + ... + 19381925.

It is an arithmetic number, because the mean of its divisors is an integer number (378055825173).

Almost surely, 210023555412125 is an apocalyptic number.

10023555412125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023555412125 is a deficient number, since it is larger than the sum of its proper divisors (8123124196179).

10023555412125 is a wasteful number, since it uses less digits than its factorization.

10023555412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38239855 (or 38239842 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10023555412125 in words is "ten trillion, twenty-three billion, five hundred fifty-five million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 233 375 699 1125 1165 2097 3495 5825 10485 17475 29125 52425 87375 262125 38239601 114718803 191198005 344156409 573594015 955990025 1720782045 2867970075 4779950125 8603910225 8909827033 14339850375 26729481099 43019551125 44549135165 80188443297 133647405495 222745675825 400942216485 668237027475 1113728379125 2004711082425 3341185137375 10023555412125