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2123143422112 = 251755720533413
BaseRepresentation
bin11110111001010101001…
…101011010000010100000
321111222012111220211221201
4132321111031122002200
5234241144204001422
64303205243530544
7306251321215306
oct36712515320240
97458174824851
102123143422112
11749469125519
122a3590529a54
13125299a6ab0b
1474a91494276
153a363e07727
hex1ee5535a0a0

2123143422112 has 96 divisors (see below), whose sum is σ = 4437222530832. Its totient is φ = 996554686464.

The previous prime is 2123143422073. The next prime is 2123143422157. The reversal of 2123143422112 is 2112243413212.

It can be written as a sum of positive squares in 8 ways, for example, as 1447584360336 + 675559061776 = 1203156^2 + 821924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622073718 + ... + 622077130.

Almost surely, 22123143422112 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 2123143422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218611265416).

2123143422112 is an abundant number, since it is smaller than the sum of its proper divisors (2314079108720).

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

2123143422112 is a wasteful number, since it uses less digits than its factorization.

2123143422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6042 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 2123143422112 its reverse (2112243413212), we get a palindrome (4235386835324).

The spelling of 2123143422112 in words is "two trillion, one hundred twenty-three billion, one hundred forty-three million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 557 1114 2053 2228 3413 4106 4456 6826 8212 8912 9469 13652 16424 17824 18938 27304 32848 34901 37876 54608 58021 65696 69802 75752 109216 116042 139604 151504 232084 279208 303008 464168 558416 928336 1116832 1143521 1856672 1901041 2287042 3802082 4574084 7006889 7604164 9148168 14013778 15208328 18296336 19439857 28027556 30416656 32317697 36592672 38879714 56055112 60833312 64635394 77759428 112110224 119117113 129270788 155518856 224220448 238234226 258541576 311037712 476468452 517083152 622075424 952936904 1034166304 1905873808 3811747616 3902837173 7805674346 15611348692 31222697384 62445394768 66348231941 124890789536 132696463882 265392927764 530785855528 1061571711056 2123143422112