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20331332100031 = 3710716730751327
BaseRepresentation
bin1001001111101110000011…
…10100111101111110111111
32122222122201111021010111011
410213313001310331332333
510131102032004200111
6111124030210540051
74165614235266541
oct447670164757677
978878644233434
1020331332100031
116529518a2a887
122344421b97627
13b4630c4714b4
145040826c3691
15253ce80a0021
hex127dc1d3dfbf

20331332100031 has 16 divisors (see below), whose sum is σ = 21202179618816. Its totient is φ = 19479611962656.

The previous prime is 20331332100017. The next prime is 20331332100041. The reversal of 20331332100031 is 13000123313302.

It is a cyclic number.

It is not a de Polignac number, because 20331332100031 - 211 = 20331332097983 is a prime.

It is a super-2 number, since 2×203313321000312 (a number of 27 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 = 20331332099975 and 20331332100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331332100041) 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, 14714511 + ... + 16036816.

It is an arithmetic number, because the mean of its divisors is an integer number (1325136226176).

Almost surely, 220331332100031 is an apocalyptic number.

20331332100031 is a deficient number, since it is larger than the sum of its proper divisors (870847518785).

20331332100031 is a wasteful number, since it uses less digits than its factorization.

20331332100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30751638.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 20331332100031 its reverse (13000123313302), we get a palindrome (33331455413333).

The spelling of 20331332100031 in words is "twenty trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred thousand, thirty-one".

Divisors: 1 37 107 167 3959 6179 17869 661153 30751327 1137799099 3290391989 5135471609 121744503593 190012449533 549495462163 20331332100031