Search a number
-
+
1013331200 = 2852722619
BaseRepresentation
bin111100011001100…
…011010100000000
32121121202120002012
4330121203110000
54033403044300
6244315112052
734053113240
oct7431432400
92547676065
101013331200
1147aaa9802
12243442628
13131c2707b
149881bb20
155de66435
hex3c663500

1013331200 has 108 divisors (see below), whose sum is σ = 2866587360. Its totient is φ = 347412480.

The previous prime is 1013331197. The next prime is 1013331227. The reversal of 1013331200 is 21333101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33491 + ... + 56109.

Almost surely, 21013331200 is an apocalyptic number.

1013331200 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 1013331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433293680).

1013331200 is an abundant number, since it is smaller than the sum of its proper divisors (1853256160).

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

1013331200 is an equidigital number, since it uses as much as digits as its factorization.

1013331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22652 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1013331200 is about 31832.8635218386. The cubic root of 1013331200 is about 1004.4241315291.

Adding to 1013331200 its reverse (21333101), we get a palindrome (1034664301).

The spelling of 1013331200 in words is "one billion, thirteen million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 22619 44800 45238 90476 113095 158333 180952 226190 316666 361904 452380 565475 633332 723808 791665 904760 1130950 1266664 1447616 1583330 1809520 2261900 2533328 2895232 3166660 3619040 3958325 4523800 5066656 5790464 6333320 7238080 7916650 9047600 10133312 12666640 14476160 15833300 18095200 20266624 25333280 28952320 31666600 36190400 40533248 50666560 63333200 72380800 101333120 126666400 144761600 202666240 253332800 506665600 1013331200