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1021130001012 = 22311312473100907
BaseRepresentation
bin11101101110000000001…
…01110100101001110100
310121121201022020200201010
432313000011310221310
5113212233240013022
62101033423432220
7133526360540352
oct16670005645164
93547638220633
101021130001012
113640712a0450
12145a9a455670
13753a4ac9714
14375cc83a7d2
151b8667e250c
hexedc0174a74

1021130001012 has 96 divisors (see below), whose sum is σ = 2684198006784. Its totient is φ = 299327558400.

The previous prime is 1021130001007. The next prime is 1021130001013. The reversal of 1021130001012 is 2101000311201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021130001013) 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, 10069063 + ... + 10169969.

It is an arithmetic number, because the mean of its divisors is an integer number (27960395904).

Almost surely, 21021130001012 is an apocalyptic number.

1021130001012 is a gapful number since it is divisible by the number (12) 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 1021130001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342099003392).

1021130001012 is an abundant number, since it is smaller than the sum of its proper divisors (1663068005772).

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

1021130001012 is a wasteful number, since it uses less digits than its factorization.

1021130001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103429 (or 103427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1021130001012 its reverse (2101000311201), we get a palindrome (3122130312213).

The spelling of 1021130001012 in words is "one trillion, twenty-one billion, one hundred thirty million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2473 4092 4946 7419 9892 14838 27203 29676 54406 76663 81609 100907 108812 153326 163218 201814 229989 302721 306652 326436 403628 459978 605442 843293 919956 1109977 1210884 1686586 2219954 2529879 3128117 3329931 3373172 4439908 5059758 6256234 6659862 9384351 10119516 12512468 13319724 18768702 34409287 37537404 68818574 103227861 137637148 206455722 249543011 412911444 499086022 748629033 998172044 1497258066 2744973121 2994516132 5489946242 7735833341 8234919363 10979892484 15471666682 16469838726 23207500023 30943333364 32939677452 46415000046 85094166751 92830000092 170188333502 255282500253 340376667004 510565000506 1021130001012