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1131031134 = 233613131097
BaseRepresentation
bin100001101101010…
…0010101001011110
32220211020100001000
41003122202221132
54304020444014
6304121531130
740012414602
oct10332425136
92824210030
101131031134
1153048a482
12276943aa6
131504270bc
14aa2d9502
1569465509
hex436a2a5e

1131031134 has 64 divisors (see below), whose sum is σ = 2565103680. Its totient is φ = 369308160.

The previous prime is 1131031103. The next prime is 1131031189. The reversal of 1131031134 is 4311301311.

1131031134 is a `hidden beast` number, since 11 + 310 + 311 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030474 + ... + 1031570.

It is an arithmetic number, because the mean of its divisors is an integer number (40079745).

Almost surely, 21131031134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131031134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282551840).

1131031134 is an abundant number, since it is smaller than the sum of its proper divisors (1434072546).

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

1131031134 is a wasteful number, since it uses less digits than its factorization.

1131031134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

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

The square root of 1131031134 is about 33630.8063239643. The cubic root of 1131031134 is about 1041.8971578044.

Adding to 1131031134 its reverse (4311301311), we get a palindrome (5442332445).

The spelling of 1131031134 in words is "one billion, one hundred thirty-one million, thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 313 366 549 626 939 1097 1098 1647 1878 2194 2817 3291 3294 5634 6582 8451 9873 16902 19093 19746 29619 38186 57279 59238 66917 114558 133834 171837 200751 343361 343674 401502 515511 602253 686722 1030083 1031022 1204506 1806759 2060166 3090249 3613518 6180498 9270747 18541494 20945021 41890042 62835063 125670126 188505189 377010378 565515567 1131031134