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1001000202020 = 2257133907140773
BaseRepresentation
bin11101001000100000100…
…00101110111100100100
310112200202102110221201022
432210100100232330210
5112400022022431040
62043504140150312
7132214501220630
oct16442020567444
93480672427638
101001000202020
11356581577535
12142000b38398
1373517576960
143663d207dc0
151b0894876b5
hexe91042ef24

1001000202020 has 96 divisors (see below), whose sum is σ = 2587881101568. Its totient is φ = 316716728832.

The previous prime is 1001000202017. The next prime is 1001000202067. The reversal of 1001000202020 is 202020001001.

It is a junction number, because it is equal to n+sod(n) for n = 1001000201989 and 1001000202007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7040354 + ... + 7181126.

It is an arithmetic number, because the mean of its divisors is an integer number (26957094808).

Almost surely, 21001000202020 is an apocalyptic number.

1001000202020 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 1001000202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293940550784).

1001000202020 is an abundant number, since it is smaller than the sum of its proper divisors (1586880899548).

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

1001000202020 is a wasteful number, since it uses less digits than its factorization.

1001000202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144709 (or 144707 counting only the distinct ones).

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

Adding to 1001000202020 its reverse (202020001001), we get a palindrome (1203020203021).

The spelling of 1001000202020 in words is "one trillion, one billion, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3907 7814 15628 19535 27349 39070 50791 54698 78140 101582 109396 136745 140773 203164 253955 273490 281546 355537 507910 546980 563092 703865 711074 985411 1015820 1407730 1422148 1777685 1830049 1970822 2815460 3555370 3660098 3941644 4927055 7110740 7320196 9150245 9854110 12810343 18300490 19708220 25620686 36600980 51241372 64051715 128103430 256206860 550000111 1100000222 2200000444 2750000555 3850000777 5500001110 7150001443 7700001554 11000002220 14300002886 15400003108 19250003885 28600005772 35750007215 38500007770 50050010101 71500014430 77000015540 100100020202 143000028860 200200040404 250250050505 500500101010 1001000202020