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11022216413232 = 24319127331287503
BaseRepresentation
bin1010000001100100111101…
…0010110100000000110000
31110000201021012202101221010
42200121033102310000300
52421041444400210412
635235311502230520
72215220540446353
oct240311722640060
943021235671833
1011022216413232
11356a54a8a9002
1212a0219b85440
1361c510058cbb
142a1699d6c29a
15141aa6cd533c
hexa064f4b4030

11022216413232 has 160 divisors (see below), whose sum is σ = 30300069560320. Its totient is φ = 3442847950080.

The previous prime is 11022216413083. The next prime is 11022216413233. The reversal of 11022216413232 is 23231461222011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11022216413232.

It is not an unprimeable number, because it can be changed into a prime (11022216413233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38193993 + ... + 38481495.

It is an arithmetic number, because the mean of its divisors is an integer number (189375434752).

Almost surely, 211022216413232 is an apocalyptic number.

11022216413232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022216413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150034780160).

11022216413232 is an abundant number, since it is smaller than the sum of its proper divisors (19277853147088).

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

11022216413232 is a wasteful number, since it uses less digits than its factorization.

11022216413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287991 (or 287985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11022216413232 its reverse (23231461222011), we get a palindrome (34253677635243).

The spelling of 11022216413232 in words is "eleven trillion, twenty-two billion, two hundred sixteen million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 331 381 456 508 662 762 912 993 1016 1324 1524 1986 2032 2413 2648 3048 3972 4826 5296 6096 6289 7239 7944 9652 12578 14478 15888 18867 19304 25156 28956 37734 38608 42037 50312 57912 75468 84074 100624 115824 126111 150936 168148 252222 287503 301872 336296 504444 575006 672592 798703 862509 1008888 1150012 1597406 1725018 2017776 2300024 2396109 3194812 3450036 4600048 4792218 5462557 6389624 6900072 9584436 10925114 12779248 13800144 16387671 19168872 21850228 32775342 36512881 38337744 43700456 65550684 73025762 87400912 95163493 109538643 131101368 146051524 190326986 219077286 262202736 285490479 292103048 380653972 438154572 570980958 584206096 693744739 761307944 876309144 1141961916 1387489478 1522615888 1752618288 1808106367 2081234217 2283923832 2774978956 3616212734 4162468434 4567847664 5424319101 5549957912 7232425468 8324936868 10848638202 11099915824 12085763611 14464850936 16649873736 21697276404 24171527222 28929701872 33299747472 36257290833 43394552808 48343054444 72514581666 86789105616 96686108888 145029163332 193372217776 229629508609 290058326664 459259017218 580116653328 688888525827 918518034436 1377777051654 1837036068872 2755554103308 3674072137744 5511108206616 11022216413232