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1020022021020 = 223583431475229
BaseRepresentation
bin11101101011111100000…
…11001101101110011100
310121111212002101110220010
432311332003031232130
5113203001114133040
62100331443523220
7133460045060112
oct16657603155634
93544762343803
101020022021020
11363652925702
1214582b389510
13752593b3762
1437525621ab2
151b7ee3d1e80
hexed7e0cdb9c

1020022021020 has 96 divisors (see below), whose sum is σ = 2897184568320. Its totient is φ = 268104628480.

The previous prime is 1020022020989. The next prime is 1020022021033. The reversal of 1020022021020 is 201202200201.

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 = 1020022020987 and 1020022021005.

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, 1908766 + ... + 2383994.

It is an arithmetic number, because the mean of its divisors is an integer number (30179005920).

Almost surely, 21020022021020 is an apocalyptic number.

1020022021020 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 1020022021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448592284160).

1020022021020 is an abundant number, since it is smaller than the sum of its proper divisors (1877162547300).

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

1020022021020 is a wasteful number, since it uses less digits than its factorization.

1020022021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475755 (or 475753 counting only the distinct ones).

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

Adding to 1020022021020 its reverse (201202200201), we get a palindrome (1221224221221).

The spelling of 1020022021020 in words is "one trillion, twenty billion, twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 431 498 830 862 996 1245 1293 1660 1724 2155 2490 2586 4310 4980 5172 6465 8620 12930 25860 35773 71546 107319 143092 178865 214638 357730 429276 475229 536595 715460 950458 1073190 1425687 1900916 2146380 2376145 2851374 4752290 5702748 7128435 9504580 14256870 28513740 39444007 78888014 118332021 157776028 197220035 204823699 236664042 394440070 409647398 473328084 591660105 614471097 788880140 819294796 1024118495 1183320210 1228942194 2048236990 2366640420 2457884388 3072355485 4096473980 6144710970 12289421940 17000367017 34000734034 51001101051 68001468068 85001835085 102002202102 170003670170 204004404204 255005505255 340007340340 510011010510 1020022021020