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211241011104 = 2533673649133
BaseRepresentation
bin1100010010111011110…
…0100000011110100000
3202012020202020012211000
43010232330200132200
511430110144323404
6241013123552000
721155514653064
oct3045674403640
9665222205730
10211241011104
1181650053222
1234b3422b600
1316bc615c936
14a31cdabaa4
15576526e339
hex312ef207a0

211241011104 has 96 divisors (see below), whose sum is σ = 625315602240. Its totient is φ = 69362701056.

The previous prime is 211241011097. The next prime is 211241011159. The reversal of 211241011104 is 401110142112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766679 + ... + 1882454.

It is an arithmetic number, because the mean of its divisors is an integer number (6513704190).

Almost surely, 2211241011104 is an apocalyptic number.

211241011104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211241011104 is an abundant number, since it is smaller than the sum of its proper divisors (414074591136).

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

211241011104 is a wasteful number, since it uses less digits than its factorization.

211241011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649219 (or 3649205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211241011104 its reverse (401110142112), we get a palindrome (612351153216).

The spelling of 211241011104 in words is "two hundred eleven billion, two hundred forty-one million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1809 2144 2412 3216 3618 4824 6432 7236 9648 14472 19296 28944 57888 3649133 7298266 10947399 14596532 21894798 29193064 32842197 43789596 58386128 65684394 87579192 98526591 116772256 131368788 175158384 197053182 244491911 262737576 350316768 394106364 488983822 525475152 733475733 788212728 977967644 1050950304 1466951466 1576425456 1955935288 2200427199 2933902932 3152850912 3911870576 4400854398 5867805864 6601281597 7823741152 8801708796 11735611728 13202563194 17603417592 23471223456 26405126388 35206835184 52810252776 70413670368 105620505552 211241011104