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1021020001020 = 2232517219627451
BaseRepresentation
bin11101101101110011000…
…10001101001011111100
310121121102122021010002100
432312321202031023330
5113212022110013040
62101014454025100
7133523553545565
oct16667142151374
93547378233070
101021020001020
11364015199868
12145a69648190
1375388094376
14375bbda516c
151b85bd14b30
hexedb988d2fc

1021020001020 has 108 divisors (see below), whose sum is σ = 3289992759144. Its totient is φ = 256255987200.

The previous prime is 1021020000997. The next prime is 1021020001033. The reversal of 1021020001020 is 201000201201.

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 = 1021020000993 and 1021020001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9761706 + ... + 9865745.

It is an arithmetic number, because the mean of its divisors is an integer number (30462895918).

Almost surely, 21021020001020 is an apocalyptic number.

1021020001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021020001020 is an abundant number, since it is smaller than the sum of its proper divisors (2268972758124).

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

1021020001020 is a wasteful number, since it uses less digits than its factorization.

1021020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627500 (or 19627478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1021020001020 its reverse (201000201201), we get a palindrome (1222020202221).

The spelling of 1021020001020 in words is "one trillion, twenty-one billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 19627451 39254902 58882353 78509804 98137255 117764706 176647059 196274510 235529412 294411765 333666667 353294118 392549020 588823530 667333334 706588236 883235295 1001000001 1177647060 1334666668 1668333335 1766470590 2002000002 3003000003 3336666670 3532941180 4004000004 5005000005 5672333339 6006000006 6673333340 10010000010 11344666678 12012000012 15015000015 17017000017 20020000020 22689333356 28361666695 30030000030 34034000034 51051000051 56723333390 60060000060 68068000068 85085000085 102102000102 113446666780 170170000170 204204000204 255255000255 340340000340 510510000510 1021020001020