Search a number
-
+
1020302012112 = 24366132157779
BaseRepresentation
bin11101101100011101011…
…11010010111011010000
310121112120121020111110120
432312032233102323100
5113204034303341422
62100415325030240
7133500015002505
oct16661657227320
93545517214416
101020302012112
113637869830a9
121458a90b5380
13752a23c7066
14375508a74ac
151b818c8c45c
hexed8ebd2ed0

1020302012112 has 40 divisors (see below), whose sum is σ = 2639767844640. Its totient is φ = 339586135680.

The previous prime is 1020302012099. The next prime is 1020302012117. The reversal of 1020302012112 is 2112102030201.

It is a junction number, because it is equal to n+sod(n) for n = 1020302012091 and 1020302012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020302012117) by changing a digit.

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, 16047162 + ... + 16110617.

It is an arithmetic number, because the mean of its divisors is an integer number (65994196116).

Almost surely, 21020302012112 is an apocalyptic number.

1020302012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020302012112 is an abundant number, since it is smaller than the sum of its proper divisors (1619465832528).

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

1020302012112 is a wasteful number, since it uses less digits than its factorization.

1020302012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32158451 (or 32158445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020302012112 its reverse (2112102030201), we get a palindrome (3132404042313).

It can be divided in two parts, 102030201 and 2112, that multiplied together give a palindrome (215487784512).

The spelling of 1020302012112 in words is "one trillion, twenty billion, three hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 661 1322 1983 2644 3966 5288 7932 10576 15864 31728 32157779 64315558 96473337 128631116 192946674 257262232 385893348 514524464 771786696 1543573392 21256291919 42512583838 63768875757 85025167676 127537751514 170050335352 255075503028 340100670704 510151006056 1020302012112