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11012230222120 = 23517239306722093
BaseRepresentation
bin1010000000111111110000…
…0100100001000100101000
31102222202111020222100001001
42200033330010201010220
52420411021414101440
635230540531404344
72214415221306511
oct240177404410450
942882436870031
1011012230222120
1135662959658a6
12129a2b17536b4
1361b5ab194c8a
142a0dcd9a1a08
151416c0253b9a
hexa03fc121128

11012230222120 has 128 divisors (see below), whose sum is σ = 26354571609600. Its totient is φ = 4126901538816.

The previous prime is 11012230222111. The next prime is 11012230222159. The reversal of 11012230222120 is 2122203221011.

It is a super-3 number, since 3×110122302221203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498437794 + ... + 498459886.

It is an arithmetic number, because the mean of its divisors is an integer number (205895090700).

Almost surely, 211012230222120 is an apocalyptic number.

11012230222120 is a gapful number since it is divisible by the number (10) 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 11012230222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177285804800).

11012230222120 is an abundant number, since it is smaller than the sum of its proper divisors (15342341387480).

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

11012230222120 is a wasteful number, since it uses less digits than its factorization.

11012230222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25427 (or 25423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11012230222120 its reverse (2122203221011), we get a palindrome (13134433443131).

The spelling of 11012230222120 in words is "eleven trillion, twelve billion, two hundred thirty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 239 340 478 680 956 1195 1912 2390 3067 4063 4780 6134 8126 9560 12268 15335 16252 20315 22093 24536 30670 32504 40630 44186 52139 61340 81260 88372 104278 110465 122680 162520 176744 208556 220930 260695 375581 417112 441860 521390 733013 751162 883720 1042780 1466026 1502324 1877905 2085560 2932052 3004648 3665065 3755810 5280227 5864104 7330130 7511620 10560454 12461221 14660260 15023240 21120908 24922442 26401135 29320520 42241816 49844884 52802270 62306105 67759231 89763859 99689768 105604540 124612210 135518462 179527718 211209080 249224420 271036924 338796155 359055436 448819295 498448840 542073848 677592310 718110872 897638590 1151906927 1355184620 1795277180 2303813854 2710369240 3590554360 4607627708 5759534635 9215255416 11519069270 16194456209 23038138540 32388912418 46076277080 64777824836 80972281045 129555649672 161944562090 275305755553 323889124180 550611511106 647778248360 1101223022212 1376528777765 2202446044424 2753057555530 5506115111060 11012230222120