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1011011002020 = 2232589392316087
BaseRepresentation
bin11101011011001001111…
…00111001111010100100
310120122121002120021122200
432231210330321322210
5113031022304031040
62052241350254500
7133020536503515
oct16554474717244
93518532507580
101011011002020
1135a849398768
12143b35657430
1374451575b56
1436d0c97ca0c
151b47327a630
hexeb64f39ea4

1011011002020 has 144 divisors (see below), whose sum is σ = 3102174391680. Its totient is φ = 266489169408.

The previous prime is 1011011002003. The next prime is 1011011002097. The reversal of 1011011002020 is 202001101101.

It is a happy number.

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 = 1011011001993 and 1011011002011.

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 47 ways as a sum of consecutive naturals, for example, 62838417 + ... + 62854503.

It is an arithmetic number, because the mean of its divisors is an integer number (21542877720).

Almost surely, 21011011002020 is an apocalyptic number.

1011011002020 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 1011011002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551087195840).

1011011002020 is an abundant number, since it is smaller than the sum of its proper divisors (2091163389660).

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

1011011002020 is a wasteful number, since it uses less digits than its factorization.

1011011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114 (or 20109 counting only the distinct ones).

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

Adding to 1011011002020 its reverse (202001101101), we get a palindrome (1213012103121).

The spelling of 1011011002020 in words is "one trillion, eleven billion, eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 3923 4005 5340 7846 8010 11769 15692 16020 16087 19615 23538 32174 35307 39230 47076 48261 58845 64348 70614 78460 80435 96522 117690 141228 144783 160870 176535 193044 235380 241305 289566 321740 349147 353070 482610 579132 698294 706140 723915 965220 1047441 1396588 1431743 1447830 1745735 2094882 2863486 2895660 3142323 3491470 4189764 4295229 5237205 5726972 6284646 6982940 7158715 8590458 10474410 12569292 12885687 14317430 15711615 17180916 20948820 21476145 25771374 28634860 31423230 42952290 51542748 62846460 63109301 64428435 85904580 126218602 128856870 189327903 252437204 257713740 315546505 378655806 567983709 631093010 757311612 946639515 1135967418 1262186020 1893279030 2271934836 2839918545 3786558060 5616727789 5679837090 11233455578 11359674180 16850183367 22466911156 28083638945 33700366734 50550550101 56167277890 67400733468 84250916835 101101100202 112334555780 168501833670 202202200404 252752750505 337003667340 505505501010 1011011002020