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411113222112 = 25371317190271
BaseRepresentation
bin1011111101110000100…
…00011110111111100000
31110022011012001112202210
411332320100132333200
523213424441101422
6512510211042120
741462524505325
oct5767020367740
91408135045683
10411113222112
1114939677268a
1267814ba0340
132c9c9b58808
1415c80106b4c
15aa623a010c
hex5fb841efe0

411113222112 has 96 divisors (see below), whose sum is σ = 1097829863424. Its totient is φ = 134680716800.

The previous prime is 411113222111. The next prime is 411113222173. The reversal of 411113222112 is 211222311114.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411113222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065537 + ... + 2255807.

It is an arithmetic number, because the mean of its divisors is an integer number (11435727744).

Almost surely, 2411113222112 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 411113222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548914931712).

411113222112 is an abundant number, since it is smaller than the sum of its proper divisors (686716641312).

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

411113222112 is a wasteful number, since it uses less digits than its factorization.

411113222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190672 (or 190664 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 411113222112 its reverse (211222311114), we get a palindrome (622335533226).

The spelling of 411113222112 in words is "four hundred eleven billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 317 426 568 634 852 951 1136 1268 1704 1902 2272 2536 3408 3804 5072 6816 7608 10144 15216 22507 30432 45014 67521 90028 135042 180056 190271 270084 360112 380542 540168 570813 720224 761084 1080336 1141626 1522168 2160672 2283252 3044336 4566504 6088672 9133008 13509241 18266016 27018482 40527723 54036964 60315907 81055446 108073928 120631814 162110892 180947721 216147856 241263628 324221784 361895442 432295712 482527256 648443568 723790884 965054512 1296887136 1447581768 1930109024 2895163536 4282429397 5790327072 8564858794 12847288191 17129717588 25694576382 34259435176 51389152764 68518870352 102778305528 137037740704 205556611056 411113222112