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10025034131145 = 3511247117519889
BaseRepresentation
bin1001000111100010001010…
…0110010010011011001001
31022111101100212100212202210
42101320202212102123021
52303222232214144040
633153234225215333
72053166456061345
oct221704246223311
938441325325683
1010025034131145
113215658462300
12115ab03791549
13579483782187
142692ddc3c625
15125b92b08480
hex91e229926c9

10025034131145 has 48 divisors (see below), whose sum is σ = 18005927466240. Its totient is φ = 4757205066240.

The previous prime is 10025034131113. The next prime is 10025034131153. The reversal of 10025034131145 is 54113143052001.

It is not a de Polignac number, because 10025034131145 - 25 = 10025034131113 is a prime.

It is a super-2 number, since 2×100250341311452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58674640 + ... + 58845249.

It is an arithmetic number, because the mean of its divisors is an integer number (375123488880).

Almost surely, 210025034131145 is an apocalyptic number.

10025034131145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10025034131145 is a deficient number, since it is larger than the sum of its proper divisors (7980893335095).

10025034131145 is a wasteful number, since it uses less digits than its factorization.

10025034131145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117519966 (or 117519955 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10025034131145 its reverse (54113143052001), we get a palindrome (64138177183146).

The spelling of 10025034131145 in words is "ten trillion, twenty-five billion, thirty-four million, one hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 121 141 165 235 363 517 605 705 1551 1815 2585 5687 7755 17061 28435 85305 117519889 352559667 587599445 1292718779 1762798335 3878156337 5523434783 6463593895 14219906569 16570304349 19390781685 27617173915 42659719707 60757782613 71099532845 82851521745 182273347839 213298598535 303788913065 668335608743 911366739195 2005006826229 3341678043715 10025034131145