Search a number
-
+
132301331100301 = 1121318382940107
BaseRepresentation
bin11110000101001111001101…
…110101111111001010001101
3122100102212212020111001211011
4132011033031311333022031
5114320111111230202201
61145214220434125221
736603312214253116
oct3605171565771215
9570385766431734
10132301331100301
1139178752354700
1212a08a74120811
1358a8c67651b6c
1424955c088920d
1510466dba1a151
hex7853cdd7f28d

132301331100301 has 12 divisors (see below), whose sum is σ = 145433157054976. Its totient is φ = 120264812502120.

The previous prime is 132301331100277. The next prime is 132301331100317. The reversal of 132301331100301 is 103001133103231.

It is not a de Polignac number, because 132301331100301 - 25 = 132301331100269 is a prime.

It is a super-2 number, since 2×1323013311003012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301331100391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39874911 + ... + 43065196.

Almost surely, 2132301331100301 is an apocalyptic number.

132301331100301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132301331100301 is a deficient number, since it is larger than the sum of its proper divisors (13131825954675).

132301331100301 is a wasteful number, since it uses less digits than its factorization.

132301331100301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82953312 (or 82953301 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 132301331100301 its reverse (103001133103231), we get a palindrome (235302464203532).

The spelling of 132301331100301 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred thirty-one million, one hundred thousand, three hundred one".

Divisors: 1 11 121 13183 145013 1595143 82940107 912341177 10035752947 1093399430581 12027393736391 132301331100301