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1331213312 = 21011139091
BaseRepresentation
bin100111101011000…
…1011010000000000
310102202220122100202
41033112023100000
510211242311222
6340032304332
744663061242
oct11726132000
93382818322
101331213312
116234872a0
123119a20a8
13182a462b0
14c8b28092
157bd08892
hex4f58b400

1331213312 has 88 divisors (see below), whose sum is σ = 3126702432. Its totient is φ = 558489600.

The previous prime is 1331213291. The next prime is 1331213333. The reversal of 1331213312 is 2133121331.

It is an interprime number because it is at equal distance from previous prime (1331213291) and next prime (1331213333).

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141887 + ... + 150977.

Almost surely, 21331213312 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 1331213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563351216).

1331213312 is an abundant number, since it is smaller than the sum of its proper divisors (1795489120).

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

1331213312 is a wasteful number, since it uses less digits than its factorization.

1331213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9117 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1331213312 is about 36485.7960307844. The cubic root of 1331213312 is about 1100.0587604974.

Adding to 1331213312 its reverse (2133121331), we get a palindrome (3464334643).

It can be divided in two parts, 133121331 and 2, that multiplied together give a palindrome (266242662).

The spelling of 1331213312 in words is "one billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 2288 2816 3328 4576 5632 6656 9091 9152 11264 13312 18182 18304 36364 36608 72728 73216 100001 118183 145456 146432 200002 236366 290912 400004 472732 581824 800008 945464 1163648 1300013 1600016 1890928 2327296 2600026 3200032 3781856 4654592 5200052 6400064 7563712 9309184 10400104 12800128 15127424 20800208 25600256 30254848 41600416 51200512 60509696 83200832 102401024 121019392 166401664 332803328 665606656 1331213312