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20203131323100 = 223521137412740093
BaseRepresentation
bin1001001011111111010000…
…11101110100001011011100
32122112101210221212212220210
410211333220131310023130
510122002003104314400
6110545105043212420
74153425266542515
oct445775035641334
978471727785823
1020203131323100
11648a110a34670
122323603977110
13b371bb2771cb
144dbba016ba0c
152507e318e950
hex125fe87742dc

20203131323100 has 288 divisors, whose sum is σ = 65509403129856. Its totient is φ = 4764084249600.

The previous prime is 20203131323087. The next prime is 20203131323101. The reversal of 20203131323100 is 132313130202.

It is a super-2 number, since 2×202031313231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203131323101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503886654 + ... + 503926746.

It is an arithmetic number, because the mean of its divisors is an integer number (227463205312).

Almost surely, 220203131323100 is an apocalyptic number.

20203131323100 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 20203131323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32754701564928).

20203131323100 is an abundant number, since it is smaller than the sum of its proper divisors (45306271806756).

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

20203131323100 is a wasteful number, since it uses less digits than its factorization.

20203131323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44278 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20203131323100 its reverse (132313130202), we get a palindrome (20335444453302).

The spelling of 20203131323100 in words is "twenty trillion, two hundred three billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred".