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136632121133201 = 2918177933340193
BaseRepresentation
bin11111000100010000100101…
…000010111000100010010001
3122220202220101102222112021022
4133010100211002320202101
5120402040041002230301
61202331532510405225
740531226222202431
oct3704204502704221
9586686342875238
10136632121133201
113a5983a2429a51
12133a8278b00815
135b3147a214575
1425a505c2682c1
1510be1ad316d1b
hex7c44250b8891

136632121133201 has 16 divisors (see below), whose sum is σ = 142142757316560. Its totient is φ = 131174951362560.

The previous prime is 136632121133177. The next prime is 136632121133213. The reversal of 136632121133201 is 102331121236631.

It can be written as a sum of positive squares in 8 ways, for example, as 2022584574976 + 134609536558225 = 1422176^2 + 11602135^2 .

It is a cyclic number.

It is not a de Polignac number, because 136632121133201 - 246 = 66263376955537 is a prime.

It is a super-2 number, since 2×1366321211332012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136632121133231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39235361 + ... + 42575553.

It is an arithmetic number, because the mean of its divisors is an integer number (8883922332285).

Almost surely, 2136632121133201 is an apocalyptic number.

It is an amenable number.

136632121133201 is a deficient number, since it is larger than the sum of its proper divisors (5510636183359).

136632121133201 is a wasteful number, since it uses less digits than its factorization.

136632121133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348196.

The product of its (nonzero) digits is 23328, while the sum is 35.

Adding to 136632121133201 its reverse (102331121236631), we get a palindrome (238963242369832).

The spelling of 136632121133201 in words is "one hundred thirty-six trillion, six hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 29 181 5249 7793 225997 1410533 3340193 40905457 96865597 604574933 17532673057 26030124049 754873597421 4711452452869 136632121133201