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112002221132010 = 232511195954397721
BaseRepresentation
bin11001011101110110001100…
…100110101100100011101010
3112200120022022100211211101200
4121131312030212230203222
5104140021022102211020
61034113035435225030
732406615310366266
oct3135661446544352
9480508270754350
10112002221132010
1132761969a34370
121068a9452a8176
134a659c1a55911
141d92d177ad0a6
15ce367c6d3590
hex65dd8c9ac8ea

112002221132010 has 96 divisors (see below), whose sum is σ = 334398976067520. Its totient is φ = 25722998150400.

The previous prime is 112002221132003. The next prime is 112002221132017. The reversal of 112002221132010 is 10231122200211.

112002221132010 is a `hidden beast` number, since 1 + 120 + 0 + 2 + 2 + 211 + 320 + 10 = 666.

112002221132010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112002221132003) and next prime (112002221132017).

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 (112002221132017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977180051 + ... + 2977217670.

It is an arithmetic number, because the mean of its divisors is an integer number (3483322667370).

Almost surely, 2112002221132010 is an apocalyptic number.

112002221132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112002221132010 is an abundant number, since it is smaller than the sum of its proper divisors (222396754935510).

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

112002221132010 is a wasteful number, since it uses less digits than its factorization.

112002221132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954397764 (or 5954397761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112002221132010 its reverse (10231122200211), we get a palindrome (122233343332221).

The spelling of 112002221132010 in words is "one hundred twelve trillion, two billion, two hundred twenty-one million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 5954397721 11908795442 17863193163 29771988605 35726386326 53589579489 59543977210 65498374931 89315965815 107179158978 113133556699 130996749862 178631931630 196495124793 226267113398 267947897445 327491874655 339400670097 392990249586 535895794890 565667783495 589485374379 654983749310 678801340194 982475623965 1018202010291 1131335566990 1178970748758 1244469123689 1697003350485 1964951247930 2036404020582 2488938247378 2947426871895 3394006700970 3733407371067 5091010051455 5894853743790 6222345618445 7466814742134 10182020102910 11200222113201 12444691236890 18667036855335 22400444226402 37334073710670 56001110566005 112002221132010