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1301134131 = 33115478009
BaseRepresentation
bin100110110001101…
…1011101100110011
310100200022110111000
41031203123230303
510131042243011
6333035453043
744146312653
oct11543335463
93320273430
101301134131
11608502370
123038b7183
1317974426b
14c4b38363
1579366356
hex4d8dbb33

1301134131 has 32 divisors (see below), whose sum is σ = 2106950400. Its totient is φ = 787026240.

The previous prime is 1301134123. The next prime is 1301134141. The reversal of 1301134131 is 1314311031.

It is not a de Polignac number, because 1301134131 - 23 = 1301134123 is a prime.

It is a super-2 number, since 2×13011341312 = 3385900053706250322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301134141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158455 + ... + 166463.

It is an arithmetic number, because the mean of its divisors is an integer number (65842200).

Almost surely, 21301134131 is an apocalyptic number.

1301134131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1301134131 is a deficient number, since it is larger than the sum of its proper divisors (805816269).

1301134131 is a wasteful number, since it uses less digits than its factorization.

1301134131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301134131 is about 36071.2368931258. The cubic root of 1301134131 is about 1091.7101709395.

Adding to 1301134131 its reverse (1314311031), we get a palindrome (2615445162).

Subtracting 1301134131 from its reverse (1314311031), we obtain a square (13176900 = 36302).

The spelling of 1301134131 in words is "one billion, three hundred one million, one hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 547 1641 4923 6017 8009 14769 18051 24027 54153 72081 88099 162459 216243 264297 792891 2378673 4380923 13142769 39428307 48190153 118284921 144570459 433711377 1301134131