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1020020221020 = 2235731242118749
BaseRepresentation
bin11101101011111011111…
…00010110010001011100
310121111211222000000202110
432311331330112101130
5113203000134033040
62100331341154020
7133460023552233
oct16657574262134
93544758000673
101020020221020
113636519062a9
1214582a85b910
1375258c03378
14375252b3b1a
151b7ee178980
hexed7df1645c

1020020221020 has 96 divisors (see below), whose sum is σ = 2895568200000. Its totient is φ = 268243384320.

The previous prime is 1020020221019. The next prime is 1020020221063. The reversal of 1020020221020 is 201220200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020020220987 and 1020020221005.

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, 54394606 + ... + 54413354.

It is an arithmetic number, because the mean of its divisors is an integer number (30162168750).

Almost surely, 21020020221020 is an apocalyptic number.

1020020221020 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 1020020221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447784100000).

1020020221020 is an abundant number, since it is smaller than the sum of its proper divisors (1875547978980).

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

1020020221020 is a wasteful number, since it uses less digits than its factorization.

1020020221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31255 (or 31253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020020221020 its reverse (201220200201), we get a palindrome (1221240421221).

The spelling of 1020020221020 in words is "one trillion, twenty billion, twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 12421 18749 24842 37263 37498 49684 56247 62105 74526 74996 93745 112494 124210 149052 186315 187490 224988 248420 281235 372630 374980 562470 745260 906733 1124940 1368677 1813466 2720199 2737354 3626932 4106031 4533665 5440398 5474708 6843385 8212062 9067330 10880796 13600995 13686770 16424124 18134660 20530155 27201990 27373540 41060310 54403980 82120620 232881329 465762658 698643987 931525316 1164406645 1397287974 2328813290 2794575948 3493219935 4657626580 6986439870 13972879740 17000337017 34000674034 51001011051 68001348068 85001685085 102002022102 170003370170 204004044204 255005055255 340006740340 510010110510 1020020221020