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10025000103140 = 22511176287426353
BaseRepresentation
bin1001000111100010000010…
…0100011110110011100100
31022111101021111100002010022
42101320200210132303210
52303222200011300030
633153231012014312
72053165563615341
oct221704044366344
938441244302108
1010025000103140
113215640230590
12115aab4301398
135794796c9969
142692d95017c8
15125b8eb35de5
hex91e2091ece4

10025000103140 has 96 divisors (see below), whose sum is σ = 24321251372544. Its totient is φ = 3430462300160.

The previous prime is 10025000103113. The next prime is 10025000103149. The reversal of 10025000103140 is 4130100052001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10025000103149) 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 31 ways as a sum of consecutive naturals, for example, 23300204 + ... + 23726556.

It is an arithmetic number, because the mean of its divisors is an integer number (253346368464).

Almost surely, 210025000103140 is an apocalyptic number.

10025000103140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025000103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160625686272).

10025000103140 is an abundant number, since it is smaller than the sum of its proper divisors (14296251269404).

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

10025000103140 is a wasteful number, since it uses less digits than its factorization.

10025000103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432677 (or 432675 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 10025000103140 its reverse (4130100052001), we get a palindrome (14155100155141).

The spelling of 10025000103140 in words is "ten trillion, twenty-five billion, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 6287 12574 25148 31435 62870 69157 106879 125740 138314 213758 276628 345785 426353 427516 534395 691570 852706 1068790 1175669 1383140 1705412 2131765 2137580 2351338 4263530 4689883 4702676 5878345 7248001 8527060 9379766 11756690 14496002 18759532 23449415 23513380 28992004 36240005 46898830 72480010 79728011 93797660 144960020 159456022 318912044 398640055 797280110 1594560220 2680481311 5360962622 10721925244 13402406555 26804813110 29485294421 45568182287 53609626220 58970588842 91136364574 117941177684 147426472105 182272729148 227840911435 294852944210 455681822870 501250005157 589705888420 911363645740 1002500010314 2005000020628 2506250025785 5012500051570 10025000103140