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1022101021020 = 223519896579843
BaseRepresentation
bin11101101111110011111…
…01111110000101011100
310121201012222101121202010
432313321331332011130
5113221230330133040
62101314032031220
7133562421221442
oct16677175760534
93551188347663
101022101021020
1136451a420122
1214610b692510
13754cb02ac81
14376817a2b92
151b8c1b9be80
hexedf9f7e15c

1022101021020 has 48 divisors (see below), whose sum is σ = 3012508275840. Its totient is φ = 258214994496.

The previous prime is 1022101020971. The next prime is 1022101021031. The reversal of 1022101021020 is 201201012201.

It is a super-3 number, since 3×10221010210203 (a number of 37 digits) contains 333 as substring.

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 = 1022101020987 and 1022101021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448288782 + ... + 448291061.

It is an arithmetic number, because the mean of its divisors is an integer number (62760589080).

Almost surely, 21022101021020 is an apocalyptic number.

1022101021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101021020 is an abundant number, since it is smaller than the sum of its proper divisors (1990407254820).

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

1022101021020 is a wasteful number, since it uses less digits than its factorization.

1022101021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896579874 (or 896579872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022101021020 its reverse (201201012201), we get a palindrome (1223302033221).

The spelling of 1022101021020 in words is "one trillion, twenty-two billion, one hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 896579843 1793159686 2689739529 3586319372 4482899215 5379479058 8965798430 10758958116 13448697645 17035017017 17931596860 26897395290 34070034034 51105051051 53794790580 68140068068 85175085085 102210102102 170350170170 204420204204 255525255255 340700340340 511050510510 1022101021020