Search a number
-
+
1311022116 = 22321719313637
BaseRepresentation
bin100111000100100…
…1001110000100100
310101100220211020200
41032021021300210
510141110201431
6334031430500
744326334625
oct11611116044
93340824220
101311022116
11613046358
12307085430
1317b7c6b41
14c618da4c
157a16aee6
hex4e249c24

1311022116 has 144 divisors (see below), whose sum is σ = 3813788160. Its totient is φ = 376980480.

The previous prime is 1311022061. The next prime is 1311022123. The reversal of 1311022116 is 6112201131.

It is a super-2 number, since 2×13110221162 = 3437557977282234912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358650 + ... + 362286.

It is an arithmetic number, because the mean of its divisors is an integer number (26484640).

Almost surely, 21311022116 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 1311022116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906894080).

1311022116 is an abundant number, since it is smaller than the sum of its proper divisors (2502766044).

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

1311022116 is a wasteful number, since it uses less digits than its factorization.

1311022116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1311022116 is about 36208.0393835402. The cubic root of 1311022116 is about 1094.4686832503.

Adding to 1311022116 its reverse (6112201131), we get a palindrome (7423223247).

The spelling of 1311022116 in words is "one billion, three hundred eleven million, twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 19 31 34 36 38 51 57 62 68 76 93 102 114 124 153 171 186 204 228 279 306 323 342 372 527 558 589 612 646 684 969 1054 1116 1178 1292 1581 1767 1938 2108 2356 2907 3162 3534 3637 3876 4743 5301 5814 6324 7068 7274 9486 10013 10602 10911 11628 14548 18972 20026 21204 21822 30039 32733 40052 43644 60078 61829 65466 69103 90117 112747 120156 123658 130932 138206 180234 185487 207309 225494 247316 276412 338241 360468 370974 414618 450988 556461 621927 676482 741948 829236 1014723 1112922 1174751 1243854 1352964 1916699 2029446 2142193 2225844 2349502 2487708 3524253 3833398 4058892 4284386 4699004 5750097 6426579 7048506 7666796 8568772 10572759 11500194 12853158 14097012 17250291 19279737 21145518 23000388 25706316 34500582 36417281 38559474 42291036 69001164 72834562 77118948 109251843 145669124 218503686 327755529 437007372 655511058 1311022116