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11412000300 = 22352791573067
BaseRepresentation
bin10101010000011010…
…10100111000101100
31002110022200200101210
422220031110320230
5141332433002200
65124222434420
7552541254621
oct125015247054
932408620353
1011412000300
11492685a808
122265a32a10
1310cb3ab0cc
147a38ba348
1546bd23650
hex2a8354e2c

11412000300 has 144 divisors (see below), whose sum is σ = 33660623360. Its totient is φ = 2984567040.

The previous prime is 11412000263. The next prime is 11412000319. The reversal of 11412000300 is 300021411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3719367 + ... + 3722433.

Almost surely, 211412000300 is an apocalyptic number.

11412000300 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 11412000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830311680).

11412000300 is an abundant number, since it is smaller than the sum of its proper divisors (22248623060).

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

11412000300 is a wasteful number, since it uses less digits than its factorization.

11412000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11412000300 its reverse (300021411), we get a palindrome (11712021711).

The spelling of 11412000300 in words is "eleven billion, four hundred twelve million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 157 158 237 300 314 316 395 471 474 628 785 790 942 948 1185 1570 1580 1884 1975 2355 2370 3067 3140 3925 3950 4710 4740 5925 6134 7850 7900 9201 9420 11775 11850 12268 12403 15335 15700 18402 23550 23700 24806 30670 36804 37209 46005 47100 49612 61340 62015 74418 76675 92010 124030 148836 153350 184020 186045 230025 242293 248060 306700 310075 372090 460050 481519 484586 620150 726879 744180 920100 930225 963038 969172 1211465 1240300 1444557 1453758 1860450 1926076 2407595 2422930 2889114 2907516 3634395 3720900 4815190 4845860 5778228 6057325 7222785 7268790 9630380 12037975 12114650 14445570 14537580 18171975 24075950 24229300 28891140 36113925 36343950 38040001 48151900 72227850 72687900 76080002 114120003 144455700 152160004 190200005 228240006 380400010 456480012 570600015 760800020 951000025 1141200030 1902000050 2282400060 2853000075 3804000100 5706000150 11412000300