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1311213141 = 32723372661
BaseRepresentation
bin100111000100111…
…1000011001010101
310101101021112021200
41032021320121111
510141132310031
6334035503113
744331061560
oct11611703125
93341245250
101311213141
11613166927
12307157a99
1317b862a84
14c61dd4d7
157a1a78e6
hex4e278655

1311213141 has 72 divisors (see below), whose sum is σ = 2324859264. Its totient is φ = 696263040.

The previous prime is 1311213133. The next prime is 1311213149. The reversal of 1311213141 is 1413121131.

It is a happy number.

1311213141 is a `hidden beast` number, since 1 + 311 + 213 + 141 = 666.

It is an interprime number because it is at equal distance from previous prime (1311213133) and next prime (1311213149).

It is not a de Polignac number, because 1311213141 - 23 = 1311213133 is a prime.

It is a super-2 number, since 2×13112131412 = 3438559802262171762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311213149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1983351 + ... + 1984011.

It is an arithmetic number, because the mean of its divisors is an integer number (32289712).

Almost surely, 21311213141 is an apocalyptic number.

It is an amenable number.

1311213141 is a deficient number, since it is larger than the sum of its proper divisors (1013646123).

1311213141 is a wasteful number, since it uses less digits than its factorization.

1311213141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 731 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1311213141 is about 36210.6771684817. The cubic root of 1311213141 is about 1094.5218378906.

Adding to 1311213141 its reverse (1413121131), we get a palindrome (2724334272).

The spelling of 1311213141 in words is "one billion, three hundred eleven million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 333 483 661 777 851 1369 1449 1983 2331 2553 4107 4627 5949 5957 7659 9583 12321 13881 15203 17871 24457 28749 31487 41643 45609 53613 73371 86247 94461 106421 136827 171199 220113 220409 283383 319263 513597 562511 661227 904909 957789 1540791 1687533 1983681 2714727 3937577 5062599 6334363 8144181 11812731 19003089 20812907 35438193 57009267 62438721 145690349 187316163 437071047 1311213141