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10131332101040 = 245126641651263
BaseRepresentation
bin1001001101101110001001…
…1100110111001110110000
31022212112201221202020112202
42103123202130313032300
52311442432004213130
633314134131442332
72063651565651203
oct223334234671660
938775657666482
1010131332101040
1132567459363a7
12117762a7563a8
135864c3cc7407
142705054b393a
15128814bd8145
hex936e27373b0

10131332101040 has 20 divisors (see below), whose sum is σ = 23555347135104. Its totient is φ = 4052532840384.

The previous prime is 10131332101021. The next prime is 10131332101169. The reversal of 10131332101040 is 4010123313101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63320825552 + ... + 63320825711.

Almost surely, 210131332101040 is an apocalyptic number.

10131332101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131332101040 is an abundant number, since it is smaller than the sum of its proper divisors (13424015034064).

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

10131332101040 is a wasteful number, since it uses less digits than its factorization.

10131332101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126641651276 (or 126641651270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10131332101040 its reverse (4010123313101), we get a palindrome (14141455414141).

The spelling of 10131332101040 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126641651263 253283302526 506566605052 633208256315 1013133210104 1266416512630 2026266420208 2532833025260 5065666050520 10131332101040