Search a number
-
+
1020312002021 = 13831098675311
BaseRepresentation
bin11101101100011110101…
…01011001110111100101
310121112121022001001001012
432312033111121313211
5113204044333031041
62100420323112005
7133500165630554
oct16661725316745
93545538031035
101020312002021
11363791586724
121458b0512605
13752a44b4150
1437551d47d9b
151b819ab23eb
hexed8f559de5

1020312002021 has 16 divisors (see below), whose sum is σ = 1122238360320. Its totient is φ = 921942544320.

The previous prime is 1020312002011. The next prime is 1020312002023. The reversal of 1020312002021 is 1202002130201.

It is a happy number.

It is not a de Polignac number, because 1020312002021 - 234 = 1003132132837 is a prime.

It is a super-2 number, since 2×10203120020212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020312001987 and 1020312002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020312002023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220045 + ... + 4455266.

It is an arithmetic number, because the mean of its divisors is an integer number (70139897520).

Almost surely, 21020312002021 is an apocalyptic number.

It is an amenable number.

1020312002021 is a deficient number, since it is larger than the sum of its proper divisors (101926358299).

1020312002021 is a wasteful number, since it uses less digits than its factorization.

1020312002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675516.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1020312002021 its reverse (1202002130201), we get a palindrome (2222314132222).

The spelling of 1020312002021 in words is "one trillion, twenty billion, three hundred twelve million, two thousand, twenty-one".

Divisors: 1 13 83 109 1079 1417 9047 117611 8675311 112779043 720050813 945608899 9360660569 12292915687 78485538617 1020312002021