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1312331010 = 235236728387
BaseRepresentation
bin100111000111000…
…1001010100000010
310101110101022201020
41032032021110002
510141424043020
6334115450310
744343425634
oct11616112402
93343338636
101312331010
1161385a791
123075b6996
1317bb64833
14c6410a54
157a328c40
hex4e389502

1312331010 has 64 divisors (see below), whose sum is σ = 3335703552. Its totient is φ = 329731776.

The previous prime is 1312330961. The next prime is 1312331017. The reversal of 1312331010 is 101332131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1312331017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32037 + ... + 60423.

It is an arithmetic number, because the mean of its divisors is an integer number (52120368).

Almost surely, 21312331010 is an apocalyptic number.

1312331010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667851776).

1312331010 is an abundant number, since it is smaller than the sum of its proper divisors (2023372542).

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

1312331010 is a wasteful number, since it uses less digits than its factorization.

1312331010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28487.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1312331010 is about 36226.1095068184. The cubic root of 1312331010 is about 1094.8327928002.

Adding to 1312331010 its reverse (101332131), we get a palindrome (1413663141).

The spelling of 1312331010 in words is "one billion, three hundred twelve million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 201 230 335 345 402 670 690 1005 1541 2010 3082 4623 7705 9246 15410 23115 28387 46230 56774 85161 141935 170322 283870 425805 652901 851610 1305802 1901929 1958703 3264505 3803858 3917406 5705787 6529010 9509645 9793515 11411574 19019290 19587030 28528935 43744367 57057870 87488734 131233101 218721835 262466202 437443670 656165505 1312331010