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1020201011020 = 2251627183117123
BaseRepresentation
bin11101101100010001011…
…10000000011101001100
310121112022120012010000101
432312020232000131030
5113203332424323040
62100401320140444
7133464350340622
oct16661056003514
93545276163011
101020201011020
11363734968524
1214587b307724
13752874c29b9
14375412d5512
151b80ee8b09a
hexed88b8074c

1020201011020 has 48 divisors (see below), whose sum is σ = 2145034983168. Its totient is φ = 407583046080.

The previous prime is 1020201010991. The next prime is 1020201011051. The reversal of 1020201011020 is 201101020201.

It is a super-2 number, since 2×10202010110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020201010988 and 1020201011006.

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, 59572179 + ... + 59589301.

It is an arithmetic number, because the mean of its divisors is an integer number (44688228816).

Almost surely, 21020201011020 is an apocalyptic number.

1020201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201011020 is an abundant number, since it is smaller than the sum of its proper divisors (1124833972148).

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

1020201011020 is a wasteful number, since it uses less digits than its factorization.

1020201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20590 (or 20588 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020201011020 its reverse (201101020201), we get a palindrome (1221302031221).

The spelling of 1020201011020 in words is "one trillion, twenty billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 1627 1831 3254 3662 6508 7324 8135 9155 16270 17123 18310 32540 34246 36620 68492 85615 171230 342460 2979037 5958074 11916148 14895185 27859121 29790370 31352213 55718242 59580740 62704426 111436484 125408852 139295605 156761065 278591210 313522130 557182420 627044260 51010050551 102020101102 204040202204 255050252755 510100505510 1020201011020