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1023300132001 = 72367719494817
BaseRepresentation
bin11101110010000010111…
…00001101110010100001
310121211022112201202202221
432321001130031302201
5113231204313211001
62102033025111041
7133634221415020
oct16710134156241
93554275652687
101023300132001
11364a85279a34
121463a5188481
137565c5a08b4
1437756b408b7
151b9420ae1a1
hexee4170dca1

1023300132001 has 32 divisors (see below), whose sum is σ = 1223016537600. Its totient is φ = 837136075776.

The previous prime is 1023300131983. The next prime is 1023300132013. The reversal of 1023300132001 is 1002310033201.

It is not a de Polignac number, because 1023300132001 - 27 = 1023300131873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023300133001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212432745 + ... + 212437561.

It is an arithmetic number, because the mean of its divisors is an integer number (38219266800).

Almost surely, 21023300132001 is an apocalyptic number.

It is an amenable number.

1023300132001 is a deficient number, since it is larger than the sum of its proper divisors (199716405599).

1023300132001 is a wasteful number, since it uses less digits than its factorization.

1023300132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1023300132001 its reverse (1002310033201), we get a palindrome (2025610165202).

The spelling of 1023300132001 in words is "one trillion, twenty-three billion, three hundred million, one hundred thirty-two thousand, one".

Divisors: 1 7 23 161 677 1949 4739 4817 13643 15571 33719 44827 108997 110791 313789 775537 1319473 3261109 9236311 9388333 22827763 30347879 65718331 75005507 212435153 215931659 525038549 1511521613 6355901441 44491310087 146185733143 1023300132001