Search a number
-
+
1121312208 = 243192163397
BaseRepresentation
bin100001011010101…
…1101110111010000
32220010221120011210
41002311131313100
54244023442313
6303133340120
736533665542
oct10265356720
92803846153
101121312208
11525a51505
12273637640
1314b403463
14a8cc9692
15686959c3
hex42d5ddd0

1121312208 has 120 divisors (see below), whose sum is σ = 3083710368. Its totient is φ = 351039744.

The previous prime is 1121312207. The next prime is 1121312209. The reversal of 1121312208 is 8022131211.

It is an interprime number because it is at equal distance from previous prime (1121312207) and next prime (1121312209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121312207) 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, 2824266 + ... + 2824662.

Almost surely, 21121312208 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 1121312208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541855184).

1121312208 is an abundant number, since it is smaller than the sum of its proper divisors (1962398160).

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

1121312208 is a wasteful number, since it uses less digits than its factorization.

1121312208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1121312208 is about 33486.0001791794. Note that the first 3 decimals coincide. The cubic root of 1121312208 is about 1038.9042354326.

Adding to 1121312208 its reverse (8022131211), we get a palindrome (9143443419).

The spelling of 1121312208 in words is "one billion, one hundred twenty-one million, three hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 361 397 456 489 652 722 794 912 978 1083 1191 1304 1444 1588 1956 2166 2382 2608 2888 3097 3176 3912 4332 4764 5776 6194 6352 7543 7824 8664 9291 9528 12388 15086 17328 18582 19056 22629 24776 30172 37164 45258 49552 58843 60344 64711 74328 90516 117686 120688 129422 143317 148656 176529 181032 194133 235372 258844 286634 353058 362064 388266 429951 470744 517688 573268 706116 776532 859902 941488 1035376 1146536 1229509 1412232 1553064 1719804 2293072 2459018 2824464 3106128 3439608 3688527 4918036 6879216 7377054 9836072 14754108 19672144 23360671 29508216 46721342 59016432 70082013 93442684 140164026 186885368 280328052 373770736 560656104 1121312208