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1020420101112 = 233198251214463
BaseRepresentation
bin11101101100101011100…
…01110001001111111000
310121112212211110001010020
432312111301301033320
5113204310021213422
62100435144050440
7133502650514346
oct16662561611770
93545784401106
101020420101112
113638375aa115
12145920763a20
13752c0a021c9
1437562446996
151b82431695c
hexed95c713f8

1020420101112 has 32 divisors (see below), whose sum is σ = 2551075015680. Its totient is φ = 340136732000.

The previous prime is 1020420101083. The next prime is 1020420101123. The reversal of 1020420101112 is 2111010240201.

It is a super-3 number, since 3×10204201011123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020420101091 and 1020420101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4650793 + ... + 4865255.

It is an arithmetic number, because the mean of its divisors is an integer number (79721094240).

Almost surely, 21020420101112 is an apocalyptic number.

1020420101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020420101112 is an abundant number, since it is smaller than the sum of its proper divisors (1530654914568).

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

1020420101112 is a wasteful number, since it uses less digits than its factorization.

1020420101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412723 (or 412719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020420101112 its reverse (2111010240201), we get a palindrome (3131430341313).

The spelling of 1020420101112 in words is "one trillion, twenty billion, four hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 198251 214463 396502 428926 594753 643389 793004 857852 1189506 1286778 1586008 1715704 2379012 2573556 4758024 5147112 42517504213 85035008426 127552512639 170070016852 255105025278 340140033704 510210050556 1020420101112