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11211210010112 = 29723019148021
BaseRepresentation
bin1010001100100101000000…
…1100001010111000000000
31110200210002111112212202112
42203021100030022320000
52432141024230310422
635502205255034452
72234661143511500
oct243112014127000
943623074485675
1011211210010112
113632713858682
12131098366ba28
1363429c01b1b8
142aa8a8393a00
15146968d52ee2
hexa325030ae00

11211210010112 has 120 divisors (see below), whose sum is σ = 26066558742840. Its totient is φ = 4803180318720.

The previous prime is 11211210010093. The next prime is 11211210010159. The reversal of 11211210010112 is 21101001211211.

It is a super-2 number, since 2×112112100101122 (a number of 27 digits) contains 22 as substring.

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, 75666662 + ... + 75814682.

It is an arithmetic number, because the mean of its divisors is an integer number (217221322857).

Almost surely, 211211210010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033279371420).

11211210010112 is an abundant number, since it is smaller than the sum of its proper divisors (14855348732728).

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

11211210010112 is an equidigital number, since it uses as much as digits as its factorization.

11211210010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151072 (or 151049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211210010112 its reverse (21101001211211), we get a palindrome (32312211221323).

The spelling of 11211210010112 in words is "eleven trillion, two hundred eleven billion, two hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3019 3136 3584 6038 6272 12076 12544 21133 24152 25088 42266 48304 84532 96608 147931 148021 169064 193216 295862 296042 338128 386432 591724 592084 676256 772864 1036147 1183448 1184168 1352512 1545728 2072294 2366896 2368336 2705024 4144588 4733792 4736672 5410048 7253029 8289176 9467584 9473344 10820096 14506058 16578352 18935168 18946688 29012116 33156704 37870336 37893376 58024232 66313408 75740672 75786752 116048464 132626816 232096928 265253632 446875399 464193856 530507264 893750798 928387712 1787501596 1856775424 3128127793 3575003192 3713550848 6256255586 7150006384 12512511172 14300012768 21896894551 25025022344 28600025536 43793789102 50050044688 57200051072 87587578204 100100089376 114400102144 175175156408 200200178752 228800204288 350350312816 400400357504 700700625632 800800715008 1401401251264 1601601430016 2802802502528 5605605005056 11211210010112