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1323102323101 = 13210178299901
BaseRepresentation
bin10011010000001111000…
…010110100000110011101
311200111011021110001201111
4103100033002310012131
5133134203143314401
62451454054342021
7164406465120136
oct23201702640635
94614137401644
101323102323101
1147014084a4a9
1219451435a911
13979ca431600
14480778b0c8d
152463c1e7e51
hex1340f0b419d

1323102323101 has 24 divisors (see below), whose sum is σ = 1447224631560. Its totient is φ = 1208956320000.

The previous prime is 1323102323029. The next prime is 1323102323117. The reversal of 1323102323101 is 1013232013231.

It can be written as a sum of positive squares in 12 ways, for example, as 206455731876 + 1116646591225 = 454374^2 + 1056715^2 .

It is not a de Polignac number, because 1323102323101 - 221 = 1323100225949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323102323171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133628251 + ... + 133638151.

It is an arithmetic number, because the mean of its divisors is an integer number (60301026315).

Almost surely, 21323102323101 is an apocalyptic number.

It is an amenable number.

1323102323101 is a deficient number, since it is larger than the sum of its proper divisors (124122308459).

1323102323101 is a wasteful number, since it uses less digits than its factorization.

1323102323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17857 (or 17844 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1323102323101 its reverse (1013232013231), we get a palindrome (2336334336332).

The spelling of 1323102323101 in words is "one trillion, three hundred twenty-three billion, one hundred two million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 13 101 169 1313 7829 9901 17069 101777 128713 790729 1000001 1323101 1673269 10279477 13000013 77514929 133633201 169000169 1007694077 7829007829 13100023001 101777101777 1323102323101