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11012222000100 = 223521031657215077
BaseRepresentation
bin1010000000111111101110…
…0101001001101111100100
31102222202110200111121112210
42200033323211021233210
52420411012313000400
635230540035243420
72214415061363556
oct240177345115744
942882420447483
1011012222000100
11356629125a542
12129a2aaa49570
1361b5a9576789
142a0dcc8614d6
151416be67c950
hexa03fb949be4

11012222000100 has 144 divisors (see below), whose sum is σ = 32190934176128. Its totient is φ = 2906313384960.

The previous prime is 11012222000069. The next prime is 11012222000141. The reversal of 11012222000100 is 100022221011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51093762 + ... + 51308838.

Almost surely, 211012222000100 is an apocalyptic number.

11012222000100 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 11012222000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095467088064).

11012222000100 is an abundant number, since it is smaller than the sum of its proper divisors (21178712176028).

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

11012222000100 is a wasteful number, since it uses less digits than its factorization.

11012222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216854 (or 216847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012222000100 its reverse (100022221011), we get a palindrome (11112244221111).

The spelling of 11012222000100 in words is "eleven trillion, twelve billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 1657 2060 2575 3090 3314 4971 5150 6180 6628 7725 8285 9942 10300 15450 16570 19884 24855 30900 33140 41425 49710 82850 99420 124275 165700 170671 215077 248550 341342 430154 497100 512013 645231 682684 853355 860308 1024026 1075385 1290462 1706710 2048052 2150770 2560065 2580924 3226155 3413420 4266775 4301540 5120130 5376925 6452310 8533550 10240260 10753850 12800325 12904620 16130775 17067100 21507700 22152931 25600650 32261550 44305862 51201300 64523100 66458793 88611724 110764655 132917586 221529310 265835172 332293965 356382589 443058620 553823275 664587930 712765178 1069147767 1107646550 1329175860 1425530356 1661469825 1781912945 2138295534 2215293100 3322939650 3563825890 4276591068 5345738835 6645879300 7127651780 8909564725 10691477670 17819129450 21382955340 26728694175 35638258900 36707406667 53457388350 73414813334 106914776700 110122220001 146829626668 183537033335 220244440002 367074066670 440488880004 550611100005 734148133340 917685166675 1101222200010 1835370333350 2202444400020 2753055500025 3670740666700 5506111000050 11012222000100