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1311333996 = 2237413491091
BaseRepresentation
bin100111000101001…
…0101111001101100
310101101111200001210
41032022111321230
510141200141441
6334042234420
744332104120
oct11612257154
93341450053
101311333996
11613239705
123071b5a10
1317b8a5a9b
14c6231580
157a1cd616
hex4e295e6c

1311333996 has 96 divisors (see below), whose sum is σ = 3595737600. Its totient is φ = 364147200.

The previous prime is 1311333971. The next prime is 1311334021. The reversal of 1311333996 is 6993331131.

It is an interprime number because it is at equal distance from previous prime (1311333971) and next prime (1311334021).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201411 + ... + 1202501.

It is an arithmetic number, because the mean of its divisors is an integer number (37455600).

Almost surely, 21311333996 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 1311333996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797868800).

1311333996 is an abundant number, since it is smaller than the sum of its proper divisors (2284403604).

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

1311333996 is a wasteful number, since it uses less digits than its factorization.

1311333996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its digits is 39366, while the sum is 39.

The square root of 1311333996 is about 36212.3459057819. The cubic root of 1311333996 is about 1094.5554643516. Note that the first 3 decimals are identical.

The spelling of 1311333996 in words is "one billion, three hundred eleven million, three hundred thirty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 349 492 574 698 861 1047 1091 1148 1396 1722 2094 2182 2443 3273 3444 4188 4364 4886 6546 7329 7637 9772 13092 14309 14658 15274 22911 28618 29316 30548 42927 44731 45822 57236 85854 89462 91644 100163 134193 171708 178924 200326 268386 300489 313117 380759 400652 536772 600978 626234 761518 939351 1142277 1201956 1252468 1523036 1878702 2284554 2665313 3757404 4569108 5330626 7995939 10661252 15611119 15991878 31222238 31983756 46833357 62444476 93666714 109277833 187333428 218555666 327833499 437111332 655666998 1311333996