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1011221112020 = 2257173384710853
BaseRepresentation
bin11101011011100010111…
…10011010010011010100
310120200010201220222101112
432231301132122103110
5113031440101041040
62052314253514152
7133026000426230
oct16556136322324
93520121828345
101011221112020
1135a946a56499
12143b93aa2958
1374485c5cab2
1436d2c8335c0
151b486930365
hexeb7179a4d4

1011221112020 has 96 divisors (see below), whose sum is σ = 2441818649088. Its totient is φ = 344578954752.

The previous prime is 1011221111987. The next prime is 1011221112049. The reversal of 1011221112020 is 202111221101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1011221111986 and 1011221112004.

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, 93168914 + ... + 93179766.

It is an arithmetic number, because the mean of its divisors is an integer number (25435610928).

Almost surely, 21011221112020 is an apocalyptic number.

1011221112020 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 1011221112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220909324544).

1011221112020 is an abundant number, since it is smaller than the sum of its proper divisors (1430597537068).

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

1011221112020 is a wasteful number, since it uses less digits than its factorization.

1011221112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011221112020 its reverse (202111221101), we get a palindrome (1213332333121).

The spelling of 1011221112020 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 3847 4844 6055 7694 10853 12110 15388 19235 21706 24220 26929 38470 43412 53858 54265 75971 76940 107716 108530 134645 151942 217060 269290 303884 379855 538580 665531 759710 1331062 1519420 1877569 2662124 3327655 3755138 4658717 6655310 7510276 9317434 9387845 13142983 13310620 18634868 18775690 23293585 26285966 37551380 41751491 46587170 52571932 65714915 83502982 93174340 131429830 167005964 208757455 262859660 292260437 417514910 584520874 835029820 1169041748 1461302185 2922604370 5845208740 7223007943 14446015886 28892031772 36115039715 50561055601 72230079430 101122111202 144460158860 202244222404 252805278005 505610556010 1011221112020