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1123101122112 = 2634604335851
BaseRepresentation
bin10000010101111110000…
…010110001111001000000
310222100220211220100210000
4100111332002301321000
5121400102341401422
62215540122440000
7144066331011534
oct20257602617100
93870824810700
101123101122112
113a3339338a52
121617b8363000
1381ba5ab18b8
143c503599bc4
151e333ad7cac
hex1057e0b1e40

1123101122112 has 140 divisors (see below), whose sum is σ = 3329867362096. Its totient is φ = 374294649600.

The previous prime is 1123101122111. The next prime is 1123101122119. The reversal of 1123101122112 is 2112211013211.

It is a happy number.

1123101122112 is a `hidden beast` number, since 112 + 310 + 11 + 221 + 12 = 666.

It is a super-2 number, since 2×11231011221122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1123101122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31308987 + ... + 31344837.

Almost surely, 21123101122112 is an apocalyptic number.

1123101122112 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 1123101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664933681048).

1123101122112 is an abundant number, since it is smaller than the sum of its proper divisors (2206766239984).

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

1123101122112 is an equidigital number, since it uses as much as digits as its factorization.

1123101122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41918 (or 41899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1123101122112 its reverse (2112211013211), we get a palindrome (3235312135323).

The spelling of 1123101122112 in words is "one trillion, one hundred twenty-three billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 6043 12086 18129 24172 35851 36258 48344 54387 71702 72516 96688 107553 108774 143404 145032 163161 193376 215106 217548 286808 290064 322659 326322 386752 430212 435096 489483 573616 580128 645318 652644 860424 870192 967977 978966 1147232 1160256 1290636 1305288 1720848 1740384 1935954 1957932 2294464 2581272 2610576 2903931 3441696 3480768 3871908 3915864 5162544 5221152 5807862 6883392 7743816 7831728 10325088 10442304 11615724 15487632 15663456 20650176 23231448 30975264 31326912 46462896 61950528 92925792 185851584 216647593 433295186 649942779 866590372 1299885558 1733180744 1949828337 2599771116 3466361488 3899656674 5199542232 5849485011 6932722976 7799313348 10399084464 11698970022 13865445952 15598626696 17548455033 20798168928 23397940044 31197253392 35096910066 41596337856 46795880088 62394506784 70193820132 93591760176 124789013568 140387640264 187183520352 280775280528 374367040704 561550561056 1123101122112