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1312352316 = 2232116749463
BaseRepresentation
bin100111000111000…
…1110100000111100
310101110102101221100
41032032032200330
510141430233231
6334120133100
744343545022
oct11616164074
93343371840
101312352316
116138747a0
12307607190
1317bb71442
14c6418712
157a3301e6
hex4e38e83c

1312352316 has 72 divisors (see below), whose sum is σ = 3672998784. Its totient is φ = 391739040.

The previous prime is 1312352311. The next prime is 1312352351. The reversal of 1312352316 is 6132532131.

1312352316 is a `hidden beast` number, since 1 + 3 + 123 + 523 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1312352316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312352311) 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, 1801 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (51013872).

Almost surely, 21312352316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312352316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836499392).

1312352316 is an abundant number, since it is smaller than the sum of its proper divisors (2360646468).

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

1312352316 is a wasteful number, since it uses less digits than its factorization.

1312352316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49551 (or 49546 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1312352316 is about 36226.4035752930. The cubic root of 1312352316 is about 1094.8387177234.

Adding to 1312352316 its reverse (6132532131), we get a palindrome (7444884447).

The spelling of 1312352316 in words is "one billion, three hundred twelve million, three hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 13266 26532 49463 98926 148389 197852 296778 445167 544093 593556 890334 1088186 1632279 1780668 2176372 3264558 3314021 4896837 6529116 6628042 9793674 9942063 13256084 19587348 19884126 29826189 36454231 39768252 59652378 72908462 109362693 119304756 145816924 218725386 328088079 437450772 656176158 1312352316