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1020001020 = 2235171019901
BaseRepresentation
bin111100110010111…
…111101011111100
32122002022102100120
4330302333223330
54042110013040
6245114054540
734163602623
oct7462775374
92562272316
101020001020
11483844955
1224571a450
13133420bcc
14996766ba
155e8327d0
hex3ccbfafc

1020001020 has 96 divisors (see below), whose sum is σ = 3054252096. Its totient is φ = 253440000.

The previous prime is 1020001013. The next prime is 1020001039. The reversal of 1020001020 is 201000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98070 + ... + 107970.

It is an arithmetic number, because the mean of its divisors is an integer number (31815126).

Almost surely, 21020001020 is an apocalyptic number.

1020001020 is a gapful number since it is divisible by the number (10) 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 1020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527126048).

1020001020 is an abundant number, since it is smaller than the sum of its proper divisors (2034251076).

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

1020001020 is a wasteful number, since it uses less digits than its factorization.

1020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020001020 is about 31937.4548140581. The cubic root of 1020001020 is about 1006.6230451009.

Adding to 1020001020 its reverse (201000201), we get a palindrome (1221001221).

It can be divided in two parts, 102000 and 1020, that multiplied together give a square (104040000 = 102002).

The spelling of 1020001020 in words is "one billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 1010 1020 1212 1515 1717 2020 3030 3434 5151 6060 6868 8585 9901 10302 17170 19802 20604 25755 29703 34340 39604 49505 51510 59406 99010 103020 118812 148515 168317 198020 297030 336634 504951 594060 673268 841585 1000001 1009902 1683170 2000002 2019804 2524755 3000003 3366340 4000004 5000005 5049510 6000006 10000010 10099020 12000012 15000015 17000017 20000020 30000030 34000034 51000051 60000060 68000068 85000085 102000102 170000170 204000204 255000255 340000340 510000510 1020001020