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21120212122100 = 22527132320902431
BaseRepresentation
bin1001100110101011011101…
…01111011011100111110100
32202210001221220012110110022
410303111232233123213310
510232013143300401400
6112530254055344312
74306612354656050
oct463255657334764
982701856173408
1021120212122100
11680303915a573
1224512a4382098
13ba28206a6670
1453031bc66c60
152695ba003b85
hex13356ebdb9f4

21120212122100 has 72 divisors (see below), whose sum is σ = 56407212707328. Its totient is φ = 6684198998400.

The previous prime is 21120212122021. The next prime is 21120212122123. The reversal of 21120212122100 is 122121202112.

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, 1160442116 + ... + 1160460315.

It is an arithmetic number, because the mean of its divisors is an integer number (783433509824).

Almost surely, 221120212122100 is an apocalyptic number.

21120212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120212122100 is an abundant number, since it is smaller than the sum of its proper divisors (35287000585228).

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

21120212122100 is a wasteful number, since it uses less digits than its factorization.

21120212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320902465 (or 2320902458 counting only the distinct ones).

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

Adding to 21120212122100 its reverse (122121202112), we get a palindrome (21242333324212).

The spelling of 21120212122100 in words is "twenty-one trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 2320902431 4641804862 9283609724 11604512155 16246317017 23209024310 30171731603 32492634034 46418048620 58022560775 60343463206 64985268068 81231585085 116045121550 120686926412 150858658015 162463170170 211202121221 232090243100 301717316030 324926340340 406157925425 422404242442 603434632060 754293290075 812315850850 844808484884 1056010606105 1508586580150 1624631701700 2112021212210 3017173160300 4224042424420 5280053030525 10560106061050 21120212122100