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11001021002020 = 22571014631680361
BaseRepresentation
bin1010000000010101111111…
…1100101111000100100100
31102221200120001211221210001
42200011133330233010210
52420220042334031040
635221444351111044
72213540361435520
oct240053774570444
942850501757701
1011001021002020
113561563617935
1212980a3812484
1361a512b0576a
142a0648dccd80
1514126613859a
hexa015ff2f124

11001021002020 has 96 divisors (see below), whose sum is σ = 26721466039296. Its totient is φ = 3726366336000.

The previous prime is 11001021001987. The next prime is 11001021002021. The reversal of 11001021002020 is 2020012010011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11001021001988 and 11001021002006.

It is not an unprimeable number, because it can be changed into a prime (11001021002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5706640 + ... + 7387000.

It is an arithmetic number, because the mean of its divisors is an integer number (278348604576).

Almost surely, 211001021002020 is an apocalyptic number.

11001021002020 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 11001021002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360733019648).

11001021002020 is an abundant number, since it is smaller than the sum of its proper divisors (15720445037276).

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

11001021002020 is a wasteful number, since it uses less digits than its factorization.

11001021002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680941 (or 1680939 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11001021002020 its reverse (2020012010011), we get a palindrome (13021033012031).

The spelling of 11001021002020 in words is "eleven trillion, one billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 463 505 707 926 1010 1414 1852 2020 2315 2828 3241 3535 4630 6482 7070 9260 12964 14140 16205 32410 46763 64820 93526 187052 233815 327341 467630 654682 935260 1309364 1636705 1680361 3273410 3360722 6546820 6721444 8401805 11762527 16803610 23525054 33607220 47050108 58812635 117625270 169716461 235250540 339432922 678865844 778007143 848582305 1188015227 1556014286 1697164610 2376030454 3112028572 3394329220 3890035715 4752060908 5446050001 5940076135 7780071430 10892100002 11880152270 15560142860 21784200004 23760304540 27230250005 54460500010 78578721443 108921000020 157157442886 314314885772 392893607215 550051050101 785787214430 1100102100202 1571574428860 2200204200404 2750255250505 5500510501010 11001021002020