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10132130020200 = 23352293011193393
BaseRepresentation
bin1001001101110001001000…
…0000101011101101101000
31022212121210120011201212020
42103130102000223231220
52312001100241121300
633314345233544440
72064010425110136
oct223342200535550
938777716151766
1010132130020200
113257015285921
121177811a15120
135865c03cc126
1427057d45a756
1512885ec9d8a0
hex9371202bb68

10132130020200 has 192 divisors, whose sum is σ = 32503652222400. Its totient is φ = 2607852441600.

The previous prime is 10132130020193. The next prime is 10132130020211. The reversal of 10132130020200 is 202003123101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132130020200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52294704 + ... + 52488096.

It is an arithmetic number, because the mean of its divisors is an integer number (169289855325).

Almost surely, 210132130020200 is an apocalyptic number.

10132130020200 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 10132130020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251826111200).

10132130020200 is an abundant number, since it is smaller than the sum of its proper divisors (22371522202200).

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

10132130020200 is a wasteful number, since it uses less digits than its factorization.

10132130020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196452 (or 196443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10132130020200 its reverse (202003123101), we get a palindrome (10334133143301).

The spelling of 10132130020200 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty million, twenty thousand, two hundred".