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1020000010032 = 243257751122653
BaseRepresentation
bin11101101011111001011…
…11001111111100110000
310121111210112222012111100
432311330233033330300
5113202430000310112
62100325340044400
7133456360014123
oct16657457177460
93544715865440
101020000010032
11363641461503
12145823b33700
1375254977bc3
14375227323ba
151b7ec4d52dc
hexed7cbcff30

1020000010032 has 60 divisors (see below), whose sum is σ = 2854656064624. Its totient is φ = 339991344000.

The previous prime is 1020000010027. The next prime is 1020000010033. The reversal of 1020000010032 is 2300100000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020000009996 and 1020000010023.

It is not an unprimeable number, because it can be changed into a prime (1020000010033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8254818 + ... + 8377470.

Almost surely, 21020000010032 is an apocalyptic number.

1020000010032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020000010032 is an abundant number, since it is smaller than the sum of its proper divisors (1834656054592).

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

1020000010032 is a wasteful number, since it uses less digits than its factorization.

1020000010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180418 (or 180409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020000010032 its reverse (2300100000201), we get a palindrome (3320100010233).

The spelling of 1020000010032 in words is "one trillion, twenty billion, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 57751 115502 122653 173253 231004 245306 346506 367959 462008 490612 519759 693012 735918 924016 981224 1039518 1103877 1386024 1471836 1962448 2079036 2207754 2772048 2943672 4158072 4415508 5887344 8316144 8831016 17662032 7083333403 14166666806 21250000209 28333333612 42500000418 56666667224 63750000627 85000000836 113333334448 127500001254 170000001672 255000002508 340000003344 510000005016 1020000010032