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1021012001010 = 232522949539641
BaseRepresentation
bin11101101101110010000…
…11101100000011110010
310121121102002012200010200
432312321003230003302
5113212013033013020
62101014010340030
7133523425546131
oct16667103540362
93547362180120
101021012001010
11364010725291
12145a66a2a616
1375386522c31
14375bacc1918
151b85b284590
hexedb90ec0f2

1021012001010 has 48 divisors (see below), whose sum is σ = 2666223532440. Its totient is φ = 271080910080.

The previous prime is 1021012000999. The next prime is 1021012001017. The reversal of 1021012001010 is 101002101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 827104759209 + 193907241801 = 909453^2 + 440349^2 .

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 = 1021012000983 and 1021012001001.

It is not an unprimeable number, because it can be changed into a prime (1021012001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24749211 + ... + 24790430.

Almost surely, 21021012001010 is an apocalyptic number.

1021012001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021012001010 is an abundant number, since it is smaller than the sum of its proper divisors (1645211531430).

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

1021012001010 is a wasteful number, since it uses less digits than its factorization.

1021012001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49539883 (or 49539880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021012001010 its reverse (101002101201), we get a palindrome (1122014102211).

The spelling of 1021012001010 in words is "one trillion, twenty-one billion, twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 49539641 99079282 148618923 247698205 297237846 445856769 495396410 743094615 891713538 1486189230 2229283845 4458567690 11344577789 22689155578 34033733367 56722888945 68067466734 102101200101 113445777890 170168666835 204202400202 340337333670 510506000505 1021012001010