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1001040142130 = 257195912756979
BaseRepresentation
bin11101001000100101010…
…01000101111100110010
310112200212012122010020122
432210102221011330302
5112400112234022010
62043512124210242
7132215464546250
oct16442251057462
93480765563218
101001040142130
113565a2077096
12142012399982
137352291c162
14366446435d0
151b08cc26855
hexe912a45f32

1001040142130 has 64 divisors (see below), whose sum is σ = 2204406144000. Its totient is φ = 319638840768.

The previous prime is 1001040142043. The next prime is 1001040142147. The reversal of 1001040142130 is 312410401001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001040142099 and 1001040142108.

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 31 ways as a sum of consecutive naturals, for example, 6300020 + ... + 6456959.

It is an arithmetic number, because the mean of its divisors is an integer number (34443846000).

Almost surely, 21001040142130 is an apocalyptic number.

1001040142130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001040142130 is an abundant number, since it is smaller than the sum of its proper divisors (1203366001870).

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

1001040142130 is a wasteful number, since it uses less digits than its factorization.

1001040142130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757071.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1001040142130 its reverse (312410401001), we get a palindrome (1313450543131).

The spelling of 1001040142130 in words is "one trillion, one billion, forty million, one hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 59 70 95 118 133 190 266 295 413 590 665 826 1121 1330 2065 2242 4130 5605 7847 11210 15694 39235 78470 12756979 25513958 63784895 89298853 127569790 178597706 242382601 446494265 484765202 752661761 892988530 1211913005 1505323522 1696678207 2423826010 3393356414 3763308805 5268632327 7526617610 8483391035 10537264654 14300573459 16966782070 26343161635 28601146918 52686323270 71502867295 100104014213 143005734590 200208028426 500520071065 1001040142130