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211303334144 = 287317371971
BaseRepresentation
bin1100010011001010101…
…0010000000100000000
3202012102002111112221202
43010302222100010000
511430222123143034
6241023231440332
721160202463650
oct3046252200400
9665362445852
10211303334144
1181682250471
1234b510860a8
1316c06041086
14a327392360
15576a98047e
hex3132a90100

211303334144 has 72 divisors (see below), whose sum is σ = 483557648448. Its totient is φ = 90272655360.

The previous prime is 211303334101. The next prime is 211303334167. The reversal of 211303334144 is 441433303112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382079 + ... + 754049.

Almost surely, 2211303334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211303334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241778824224).

211303334144 is an abundant number, since it is smaller than the sum of its proper divisors (272254314304).

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

211303334144 is an equidigital number, since it uses as much as digits as its factorization.

211303334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372311 (or 372297 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 211303334144 its reverse (441433303112), we get a palindrome (652736637256).

The spelling of 211303334144 in words is "two hundred eleven billion, three hundred three million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 634 896 1268 1792 2219 2536 4438 5072 8876 10144 17752 20288 35504 40576 71008 81152 142016 284032 371971 568064 743942 1487884 2603797 2975768 5207594 5951536 10415188 11903072 20830376 23806144 41660752 47612288 83321504 95224576 117914807 166643008 235829614 333286016 471659228 666572032 825403649 943318456 1650807298 1886636912 3301614596 3773273824 6603229192 7546547648 13206458384 15093095296 26412916768 30186190592 52825833536 105651667072 211303334144