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1312300242 = 2321171277337
BaseRepresentation
bin100111000111000…
…0001110011010010
310101110022202111200
41032032001303102
510141422101432
6334115052030
744343240141
oct11616016322
93343282450
101312300242
11613839660
123075a1016
1317bb53826
14c6403758
157a31ea7c
hex4e381cd2

1312300242 has 96 divisors (see below), whose sum is σ = 3166210944. Its totient is φ = 389491200.

The previous prime is 1312300211. The next prime is 1312300247. The reversal of 1312300242 is 2420032131.

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

It is not an unprimeable number, because it can be changed into a prime (1312300247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893898 + ... + 3894234.

It is an arithmetic number, because the mean of its divisors is an integer number (32981364).

Almost surely, 21312300242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312300242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583105472).

1312300242 is an abundant number, since it is smaller than the sum of its proper divisors (1853910702).

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

1312300242 is a wasteful number, since it uses less digits than its factorization.

1312300242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1312300242 is about 36225.6848382470. The cubic root of 1312300242 is about 1094.8242365040.

Adding to 1312300242 its reverse (2420032131), we get a palindrome (3732332373).

The spelling of 1312300242 in words is "one billion, three hundred twelve million, three hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 277 337 426 554 639 674 781 831 1011 1278 1562 1662 2022 2343 2493 3033 3047 3707 4686 4986 6066 6094 7029 7414 9141 11121 14058 18282 19667 22242 23927 27423 33363 39334 47854 54846 59001 66726 71781 93349 118002 143562 177003 186698 215343 216337 263197 280047 354006 430686 432674 526394 560094 649011 789591 840141 1026839 1298022 1579182 1680282 1947033 2053678 2368773 3080517 3894066 4737546 6161034 6627779 9241551 13255558 18483102 19883337 39766674 59650011 72905569 119300022 145811138 218716707 437433414 656150121 1312300242