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11321300100 = 223521119180563
BaseRepresentation
bin10101000101100110…
…10101010010000100
31002020000000122010010
422202303111102010
5141141223100400
65111222430220
7550360314555
oct124263252204
932200018103
1011321300100
11488a640370
12223b592370
1310b5672556
1479582a32c
15463da9450
hex2a2cd5484

11321300100 has 144 divisors (see below), whose sum is σ = 37615092480. Its totient is φ = 2600092800.

The previous prime is 11321300087. The next prime is 11321300117. The reversal of 11321300100 is 100312311.

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, 27582 + ... + 152981.

It is an arithmetic number, because the mean of its divisors is an integer number (261215920).

Almost surely, 211321300100 is an apocalyptic number.

11321300100 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 11321300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807546240).

11321300100 is an abundant number, since it is smaller than the sum of its proper divisors (26293792380).

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

11321300100 is a wasteful number, since it uses less digits than its factorization.

11321300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180610 (or 180603 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11321300100 its reverse (100312311), we get a palindrome (11421612411).

The spelling of 11321300100 in words is "eleven billion, three hundred twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 180563 361126 541689 722252 902815 1083378 1805630 1986193 2166756 2708445 3430697 3611260 3972386 4514075 5416890 5958579 6861394 7944772 9028150 9930965 10292091 10833780 11917158 13542225 13722788 17153485 18056300 19861930 20584182 23834316 27084450 29792895 34306970 37737667 39723860 41168364 49654825 51460455 54168900 59585790 68613940 75475334 85767425 99309650 102920910 113213001 119171580 148964475 150950668 171534850 188688335 198619300 205841820 226426002 257302275 297928950 343069700 377376670 452852004 514604550 566065005 595857900 754753340 943441675 1029209100 1132130010 1886883350 2264260020 2830325025 3773766700 5660650050 11321300100