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20366238100 = 22521349131907
BaseRepresentation
bin10010111101111011…
…000010000110010100
31221120100200002110211
4102331323002012110
5313202224104400
613204531055204
71320460111315
oct227573020624
957510602424
1020366238100
11870123513a
123b44741504
131bc7527b80
14db2bbc60c
157e2eb0dba
hex4bdec2194

20366238100 has 72 divisors (see below), whose sum is σ = 47692759968. Its totient is φ = 7504291200.

The previous prime is 20366238091. The next prime is 20366238103. The reversal of 20366238100 is 183266302.

It is a super-2 number, since 2×203662381002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20366238103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622347 + ... + 654253.

It is an arithmetic number, because the mean of its divisors is an integer number (662399444).

Almost surely, 220366238100 is an apocalyptic number.

20366238100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20366238100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846379984).

20366238100 is an abundant number, since it is smaller than the sum of its proper divisors (27326521868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20366238100 is a wasteful number, since it uses less digits than its factorization.

20366238100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32418 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 20366238100 in words is "twenty billion, three hundred sixty-six million, two hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 491 650 982 1300 1964 2455 4910 6383 9820 12275 12766 24550 25532 31907 31915 49100 63814 63830 127628 127660 159535 159575 319070 319150 414791 638140 638300 797675 829582 1595350 1659164 2073955 3190700 4147910 8295820 10369775 15666337 20739550 31332674 41479100 62665348 78331685 156663370 203662381 313326740 391658425 407324762 783316850 814649524 1018311905 1566633700 2036623810 4073247620 5091559525 10183119050 20366238100