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10200310131000 = 23353111722979399
BaseRepresentation
bin1001010001101111000111…
…0111001010100100111000
31100010010210011002020002010
42110123301313022210320
52314110213343143000
633405542514205520
72101643123354313
oct224336167124470
940103704066063
1010200310131000
113282a22169230
121188a7b2838a0
1358cb677b1862
142739aa49d97a
1512a500727d50
hex946f1dca938

10200310131000 has 512 divisors, whose sum is σ = 36921381120000. Its totient is φ = 2317151232000.

The previous prime is 10200310130947. The next prime is 10200310131007. The reversal of 10200310131000 is 13101300201.

10200310131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102003101310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200310131007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128429301 + ... + 128508699.

It is an arithmetic number, because the mean of its divisors is an integer number (72112072500).

Almost surely, 210200310131000 is an apocalyptic number.

10200310131000 is a gapful number since it is divisible by the number (10) 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 10200310131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460690560000).

10200310131000 is an abundant number, since it is smaller than the sum of its proper divisors (26721070989000).

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

10200310131000 is a wasteful number, since it uses less digits than its factorization.

10200310131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79680 (or 79666 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10200310131000 its reverse (13101300201), we get a palindrome (10213411431201).

The spelling of 10200310131000 in words is "ten trillion, two hundred billion, three hundred ten million, one hundred thirty-one thousand".