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11012222122100 = 22521697174137273
BaseRepresentation
bin1010000000111111101110…
…0101100111100001110100
31102222202110200201210220022
42200033323211213201310
52420411012330401400
635230540042024312
72214415062412343
oct240177345474164
942882420653808
1011012222122100
113566291333171
12129a2aaaa8098
1361b5a95ba174
142a0dcc893b5a
151416be6a3b85
hexa03fb967874

11012222122100 has 72 divisors (see below), whose sum is σ = 23924979333528. Its totient is φ = 4399646515200.

The previous prime is 11012222122091. The next prime is 11012222122127. The reversal of 11012222122100 is 122122221011.

It can be written as a sum of positive squares in 12 ways, for example, as 2289544239376 + 8722677882724 = 1513124^2 + 2953418^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 295429064 + ... + 295466336.

Almost surely, 211012222122100 is an apocalyptic number.

11012222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012222122100 is an abundant number, since it is smaller than the sum of its proper divisors (12912757211428).

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

11012222122100 is a wasteful number, since it uses less digits than its factorization.

11012222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40725 (or 40718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11012222122100 its reverse (122122221011), we get a palindrome (11134344343111).

The spelling of 11012222122100 in words is "eleven trillion, twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1697 1741 3394 3482 6788 6964 8485 8705 16970 17410 33940 34820 37273 42425 43525 74546 84850 87050 149092 169700 174100 186365 372730 745460 931825 1863650 2954477 3727300 5908954 11817908 14772385 29544770 59089540 63252281 64892293 73861925 126504562 129784586 147723850 253009124 259569172 295447700 316261405 324461465 632522810 648922930 1265045620 1297845860 1581307025 1622307325 3162614050 3244614650 6325228100 6489229300 110122221221 220244442442 440488884884 550611106105 1101222212210 2202444424420 2753055530525 5506111061050 11012222122100