Search a number
-
+
1012022201331 = 354164700417
BaseRepresentation
bin11101011101000010011…
…10010100101111110011
310120202012120022112100000
432232201032110233303
5113040110140420311
62052525552001043
7133054565530461
oct16564116245763
93522176275300
101012022201331
11360218170779
12144178230183
1374582c0473b
1436da6da3831
151b4d1e20056
hexeba1394bf3

1012022201331 has 12 divisors (see below), whose sum is σ = 1515950952152. Its totient is φ = 674681467392.

The previous prime is 1012022201321. The next prime is 1012022201369. The reversal of 1012022201331 is 1331022202101.

1012022201331 is a `hidden beast` number, since 10 + 120 + 2 + 2 + 201 + 331 = 666.

It is not a de Polignac number, because 1012022201331 - 210 = 1012022200307 is a prime.

It is a super-2 number, since 2×10120222013312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012022201321) 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 11 ways as a sum of consecutive naturals, for example, 2082349966 + ... + 2082350451.

Almost surely, 21012022201331 is an apocalyptic number.

1012022201331 is a deficient number, since it is larger than the sum of its proper divisors (503928750821).

1012022201331 is an frugal number, since it uses more digits than its factorization.

1012022201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164700432 (or 4164700420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012022201331 its reverse (1331022202101), we get a palindrome (2343044403432).

The spelling of 1012022201331 in words is "one trillion, twelve billion, twenty-two million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 4164700417 12494101251 37482303753 112446911259 337340733777 1012022201331