Search a number
-
+
1121291000 = 23532574363
BaseRepresentation
bin100001011010101…
…1000101011111000
32220010220111002022
41002311120223320
54244022303000
6303133054012
736533546654
oct10265305370
92803814068
101121291000
11525a37585
12273627308
1314b3c68cb
14a8cc1a64
156868e585
hex42d58af8

1121291000 has 64 divisors (see below), whose sum is σ = 2634634080. Its totient is φ = 446668800.

The previous prime is 1121290993. The next prime is 1121291011. The reversal of 1121291000 is 1921211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121291000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254819 + ... + 259181.

Almost surely, 21121291000 is an apocalyptic number.

1121291000 is a gapful number since it is divisible by the number (10) 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 1121291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317317040).

1121291000 is an abundant number, since it is smaller than the sum of its proper divisors (1513343080).

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

1121291000 is a wasteful number, since it uses less digits than its factorization.

1121291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1121291000 is about 33485.6835080307. The cubic root of 1121291000 is about 1038.8976856006.

The spelling of 1121291000 in words is "one billion, one hundred twenty-one million, two hundred ninety-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 4363 5140 6425 8726 10280 12850 17452 21815 25700 32125 34904 43630 51400 64250 87260 109075 128500 174520 218150 257000 436300 545375 872600 1090750 1121291 2181500 2242582 4363000 4485164 5606455 8970328 11212910 22425820 28032275 44851640 56064550 112129100 140161375 224258200 280322750 560645500 1121291000