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11334422100 = 22352337112111
BaseRepresentation
bin10101000111001010…
…11000111001010100
31002020220201022010010
422203211120321110
5141203103001400
65112412000220
7550606666251
oct124345307124
932226638103
1011334422100
114896a930a1
122243a60070
1310b82b8151
14797484428
154650ec450
hex2a3958e54

11334422100 has 72 divisors (see below), whose sum is σ = 32891867008. Its totient is φ = 3013516800.

The previous prime is 11334422069. The next prime is 11334422117. The reversal of 11334422100 is 122443311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45045 + ... + 157155.

Almost surely, 211334422100 is an apocalyptic number.

11334422100 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 11334422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445933504).

11334422100 is an abundant number, since it is smaller than the sum of its proper divisors (21557444908).

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

11334422100 is a wasteful number, since it uses less digits than its factorization.

11334422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112465 (or 112458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11334422100 its reverse (122443311), we get a palindrome (11456865411).

The spelling of 11334422100 in words is "eleven billion, three hundred thirty-four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 50550 101100 112111 224222 336333 448444 560555 672666 1121110 1345332 1681665 2242220 2802775 3363330 5605550 6726660 8408325 11211100 16816650 33633300 37781407 75562814 113344221 151125628 188907035 226688442 377814070 453376884 566721105 755628140 944535175 1133442210 1889070350 2266884420 2833605525 3778140700 5667211050 11334422100