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201112102220064 = 25372170112513281
BaseRepresentation
bin101101101110100100001111…
…011010011011000100100000
3222101002010111012011022012220
4231232210033122123010200
5202330010041132020224
61551421342503351040
760234604242235500
oct5556441732330440
9871063435138186
10201112102220064
11590981887a3402
121a680a58152480
13882aa3643bac9
143793c40517a00
15183b5c2253279
hexb6e90f69b120

201112102220064 has 144 divisors (see below), whose sum is σ = 614146514407776. Its totient is φ = 57457199923200.

The previous prime is 201112102220063. The next prime is 201112102220069. The reversal of 201112102220064 is 460022201211102.

201112102220064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2011121022200643 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201112102220063) by changing a digit.

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, 78763104 + ... + 81276384.

It is an arithmetic number, because the mean of its divisors is an integer number (4264906350054).

Almost surely, 2201112102220064 is an apocalyptic number.

201112102220064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201112102220064 is an abundant number, since it is smaller than the sum of its proper divisors (413034412187712).

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

201112102220064 is a wasteful number, since it uses less digits than its factorization.

201112102220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530319 (or 2530304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 201112102220064 its reverse (460022201211102), we get a palindrome (661134303431166).

The spelling of 201112102220064 in words is "two hundred one trillion, one hundred twelve billion, one hundred two million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 17011 34022 51033 68044 102066 119077 136088 204132 238154 272176 357231 408264 476308 544352 714462 816528 833539 952616 1428924 1633056 1667078 1905232 2500617 2513281 2857848 3334156 3810464 5001234 5026562 5715696 6668312 7539843 10002468 10053124 11431392 13336624 15079686 17592967 20004936 20106248 26673248 30159372 35185934 40009872 40212496 52778901 60318744 70371868 80019744 80424992 105557802 120637488 123150769 140743736 211115604 241274976 246301538 281487472 369452307 422231208 492603076 562974944 738904614 844462416 985206152 1477809228 1688924832 1970412304 2955618456 3940824608 5911236912 11822473824 42753423091 85506846182 128260269273 171013692364 256520538546 299273961637 342027384728 513041077092 598547923274 684054769456 897821884911 1026082154184 1197095846548 1368109538912 1795643769822 2052164308368 2094917731459 2394191693096 3591287539644 4104328616736 4189835462918 4788383386192 6284753194377 7182575079288 8379670925836 9576766772384 12569506388754 14365150158576 16759341851672 25139012777508 28730300317152 33518683703344 50278025555016 67037367406688 100556051110032 201112102220064