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100021331331 = 35411610417
BaseRepresentation
bin101110100100110111…
…1000110010110000011
3100120011122210002100000
41131021233012112003
53114320430100311
6113541004131043
710140423200655
oct1351157062603
9316148702300
10100021331331
11394674856a9
1217474b36a83
13958006ab2c
144babc146d5
152906050056
hex1749bc6583

100021331331 has 12 divisors (see below), whose sum is σ = 149826192152. Its totient is φ = 66680887392.

The previous prime is 100021331327. The next prime is 100021331357. The reversal of 100021331331 is 133133120001.

It is a happy number.

100021331331 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 1 + 331 + 331 = 666.

It is not a de Polignac number, because 100021331331 - 22 = 100021331327 is a prime.

It is a super-2 number, since 2×1000213313312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100021331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205804966 + ... + 205805451.

Almost surely, 2100021331331 is an apocalyptic number.

100021331331 is a deficient number, since it is larger than the sum of its proper divisors (49804860821).

100021331331 is an frugal number, since it uses more digits than its factorization.

100021331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411610432 (or 411610420 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100021331331 its reverse (133133120001), we get a palindrome (233154451332).

The spelling of 100021331331 in words is "one hundred billion, twenty-one million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 411610417 1234831251 3704493753 11113481259 33340443777 100021331331