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1020123222021 = 321017949141181
BaseRepresentation
bin11101101100001000001…
…01010001000000000101
310121112010010211000120100
432312010011101000011
5113203203021101041
62100345500554313
7133462414213551
oct16660405210005
93545103730510
101020123222021
113636a4a674a2
12145859252999
1375274357ac7
1437534c46861
151b8082226b6
hexed84151005

1020123222021 has 24 divisors (see below), whose sum is σ = 1488298289400. Its totient is φ = 673259184000.

The previous prime is 1020123222017. The next prime is 1020123222071. The reversal of 1020123222021 is 1202223210201.

1020123222021 is a `hidden beast` number, since 10 + 201 + 232 + 220 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 565158132900 + 454965089121 = 751770^2 + 674511^2 .

It is not a de Polignac number, because 1020123222021 - 22 = 1020123222017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020123221985 and 1020123222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020123222071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7155051 + ... + 7296231.

It is an arithmetic number, because the mean of its divisors is an integer number (62012428725).

Almost surely, 21020123222021 is an apocalyptic number.

It is an amenable number.

1020123222021 is a deficient number, since it is larger than the sum of its proper divisors (468175067379).

1020123222021 is a wasteful number, since it uses less digits than its factorization.

1020123222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149237 (or 149234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020123222021 its reverse (1202223210201), we get a palindrome (2222346432222).

The spelling of 1020123222021 in words is "one trillion, twenty billion, one hundred twenty-three million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 101 303 909 7949 23847 71541 141181 423543 802849 1270629 2408547 7225641 14259281 42777843 128333529 1122247769 3366743307 10100229921 113347024669 340041074007 1020123222021