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1311302124 = 2232117146639
BaseRepresentation
bin100111000101000…
…1110000111101100
310101101110001100100
41032022032013230
510141143131444
6334041431100
744331612156
oct11612160754
93341401310
101311302124
11613217770
1230719b490
1317b894422
14c6223ad6
157a1c3e69
hex4e28e1ec

1311302124 has 72 divisors (see below), whose sum is σ = 3667023360. Its totient is φ = 391759200.

The previous prime is 1311302117. The next prime is 1311302129. The reversal of 1311302124 is 4212031131.

It is a super-2 number, since 2×13113021242 = 3439026520813822752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1311302097 and 1311302106.

It is not an unprimeable number, because it can be changed into a prime (1311302129) 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, 4797 + ... + 51435.

It is an arithmetic number, because the mean of its divisors is an integer number (50930880).

Almost surely, 21311302124 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 1311302124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833511680).

1311302124 is an abundant number, since it is smaller than the sum of its proper divisors (2355721236).

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

1311302124 is a wasteful number, since it uses less digits than its factorization.

1311302124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46731 (or 46726 counting only the distinct ones).

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

The square root of 1311302124 is about 36211.9058321983. The cubic root of 1311302124 is about 1094.5465965487.

Adding to 1311302124 its reverse (4212031131), we get a palindrome (5523333255).

The spelling of 1311302124 in words is "one billion, three hundred eleven million, three hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 14058 28116 46639 93278 139917 186556 279834 419751 513029 559668 839502 1026058 1539087 1679004 2052116 3078174 3311369 4617261 6156348 6622738 9234522 9934107 13245476 18469044 19868214 29802321 36425059 39736428 59604642 72850118 109275177 119209284 145700236 218550354 327825531 437100708 655651062 1311302124