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1311213240 = 2332522316333
BaseRepresentation
bin100111000100111…
…1000011010111000
310101101021112102100
41032021320122320
510141132310430
6334035503400
744331062061
oct11611703270
93341245370
101311213240
11613166a07
12307157b60
1317b862b2c
14c61dd568
157a1a7960
hex4e2786b8

1311213240 has 96 divisors (see below), whose sum is σ = 4280814720. Its totient is φ = 348067584.

The previous prime is 1311213217. The next prime is 1311213301. The reversal of 1311213240 is 423121131.

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 23 ways as a sum of consecutive naturals, for example, 72114 + ... + 88446.

It is an arithmetic number, because the mean of its divisors is an integer number (44591820).

Almost surely, 21311213240 is an apocalyptic number.

1311213240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140407360).

1311213240 is an abundant number, since it is smaller than the sum of its proper divisors (2969601480).

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

1311213240 is a wasteful number, since it uses less digits than its factorization.

1311213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573 (or 16566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311213240 is about 36210.6785354818. The cubic root of 1311213240 is about 1094.5218654370.

Adding to 1311213240 its reverse (423121131), we get a palindrome (1734334371).

The spelling of 1311213240 in words is "one billion, three hundred eleven million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1115 1338 1784 2007 2230 2676 3345 4014 4460 5352 6690 8028 8920 10035 13380 16056 16333 20070 26760 32666 40140 48999 65332 80280 81665 97998 130664 146997 163330 195996 244995 293994 326660 391992 489990 587988 653320 734985 979980 1175976 1469970 1959960 2939940 3642259 5879880 7284518 10926777 14569036 18211295 21853554 29138072 32780331 36422590 43707108 54633885 65560662 72845180 87414216 109267770 131121324 145690360 163901655 218535540 262242648 327803310 437071080 655606620 1311213240