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1024242131031 = 37415323993913
BaseRepresentation
bin11101110011110011001…
…01101010000001010111
310121220202012021021111220
432321321211222001113
5113240121441143111
62102310315301423
7133666450315620
oct16717145520127
93556665237456
101024242131031
11365418a87829
1214660874a873
137577c7b0982
1437805cb0a47
151b999b34e06
hexee7996a057

1024242131031 has 64 divisors (see below), whose sum is σ = 1635816591360. Its totient is φ = 557882357760.

The previous prime is 1024242130987. The next prime is 1024242131051. The reversal of 1024242131031 is 1301312424201.

It is not a de Polignac number, because 1024242131031 - 210 = 1024242130007 is a prime.

It is a super-2 number, since 2×10242421310312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024242130992 and 1024242131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024242131051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10859331 + ... + 10953243.

It is an arithmetic number, because the mean of its divisors is an integer number (25559634240).

Almost surely, 21024242131031 is an apocalyptic number.

1024242131031 is a deficient number, since it is larger than the sum of its proper divisors (611574460329).

1024242131031 is a wasteful number, since it uses less digits than its factorization.

1024242131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94256.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1024242131031 its reverse (1301312424201), we get a palindrome (2325554555232).

The spelling of 1024242131031 in words is "one trillion, twenty-four billion, two hundred forty-two million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 21 41 53 123 159 239 287 371 717 861 1113 1673 2173 5019 6519 9799 12667 15211 29397 38001 45633 68593 88669 93913 205779 266007 281739 519347 657391 1558041 1972173 3635429 3850433 4977389 10906287 11551299 14932167 22445207 26953031 34841723 67335621 80859093 104525169 157116449 204072949 471349347 612218847 920253487 1189595971 1428510643 2760760461 3568787913 4285531929 6441774409 8327171797 19325323227 24981515391 48773434811 146320304433 341414043677 1024242131031