Search a number
-
+
1113393312 = 253219210709
BaseRepresentation
bin100001001011101…
…0000100010100000
32212121001020111100
41002113100202200
54240012041222
6302251514400
736406454433
oct10227204240
92777036440
101113393312
11521532969
12270a58a00
1314988cc15
14a7c2781a
1567b2e4ac
hex425d08a0

1113393312 has 108 divisors (see below), whose sum is σ = 3341937690. Its totient is φ = 351565056.

The previous prime is 1113393287. The next prime is 1113393343. The reversal of 1113393312 is 2133933111.

1113393312 is a `hidden beast` number, since 1 + 11 + 339 + 3 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 663783696 + 449609616 = 25764^2 + 21204^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98614 + ... + 109322.

Almost surely, 21113393312 is an apocalyptic number.

1113393312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670968845).

1113393312 is an abundant number, since it is smaller than the sum of its proper divisors (2228544378).

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

1113393312 is a wasteful number, since it uses less digits than its factorization.

1113393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10763 (or 10733 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 1113393312 is about 33367.5487862084. The cubic root of 1113393312 is about 1036.4528165682.

The spelling of 1113393312 in words is "one billion, one hundred thirteen million, three hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1824 2166 2736 2888 3249 4332 5472 5776 6498 8664 10709 11552 12996 17328 21418 25992 32127 34656 42836 51984 64254 85672 96381 103968 128508 171344 192762 203471 257016 342688 385524 406942 514032 610413 771048 813884 1028064 1220826 1542096 1627768 1831239 2441652 3084192 3255536 3662478 3865949 4883304 6511072 7324956 7731898 9766608 11597847 14649912 15463796 19533216 23195694 29299824 30927592 34793541 46391388 58599648 61855184 69587082 92782776 123710368 139174164 185565552 278348328 371131104 556696656 1113393312