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13135300182136 = 2311197975424343
BaseRepresentation
bin1011111100100100110011…
…1001101100000001111000
31201111201111122122220221101
42333021030321230001320
53210202043321312021
643534135033021144
72523664661231656
oct277111471540170
951451448586841
1013135300182136
114204716575140
1215818615547b4
137438659514a2
14335a753b1dd6
1517ba2c999a91
hexbf24ce6c078

13135300182136 has 32 divisors (see below), whose sum is σ = 26881236201600. Its totient is φ = 5967573939040.

The previous prime is 13135300182133. The next prime is 13135300182271. The reversal of 13135300182136 is 63128100353131.

13135300182136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131353001821362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13135300182095 and 13135300182104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135300182133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37538020 + ... + 37886323.

It is an arithmetic number, because the mean of its divisors is an integer number (840038631300).

Almost surely, 213135300182136 is an apocalyptic number.

It is an amenable number.

13135300182136 is an abundant number, since it is smaller than the sum of its proper divisors (13745936019464).

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

13135300182136 is a wasteful number, since it uses less digits than its factorization.

13135300182136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75426339 (or 75426335 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 13135300182136 in words is "thirteen trillion, one hundred thirty-five billion, three hundred million, one hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 1979 3958 7916 15832 21769 43538 87076 174152 75424343 150848686 301697372 603394744 829667773 1659335546 3318671092 6637342184 149264774797 298529549594 597059099188 1194118198376 1641912522767 3283825045534 6567650091068 13135300182136