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1310132133 = 322634191321
BaseRepresentation
bin100111000010111…
…0000011110100101
310101022020121102100
41032011300132211
510140343212013
6334000402313
744315640132
oct11605603645
93338217370
101310132133
11612598732
12306916399
1317b574a1b
14c5ddb589
157a042473
hex4e1707a5

1310132133 has 24 divisors (see below), whose sum is σ = 1905583680. Its totient is φ = 867366720.

The previous prime is 1310132123. The next prime is 1310132143. The reversal of 1310132133 is 3312310131.

It is a happy number.

1310132133 is a `hidden beast` number, since 1 + 310 + 1 + 321 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (1310132123) and next prime (1310132143).

It is not a de Polignac number, because 1310132133 - 29 = 1310131621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310132123) 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, 991113 + ... + 992433.

It is an arithmetic number, because the mean of its divisors is an integer number (79399320).

Almost surely, 21310132133 is an apocalyptic number.

It is an amenable number.

1310132133 is a deficient number, since it is larger than the sum of its proper divisors (595451547).

1310132133 is a wasteful number, since it uses less digits than its factorization.

1310132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1310132133 is about 36195.7474435879. The cubic root of 1310132133 is about 1094.2209683808.

Adding to 1310132133 its reverse (3312310131), we get a palindrome (4622442264).

The spelling of 1310132133 in words is "one billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 263 419 789 1257 1321 2367 3771 3963 11889 110197 330591 347423 553499 991773 1042269 1660497 3126807 4981491 145570237 436710711 1310132133