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1122204320034 = 237412293597927
BaseRepresentation
bin10000010101001000100…
…101110000000100100010
310222021121100102002121020
4100111020211300010202
5121341233301220114
62215311125110310
7144035161222320
oct20251045600442
93867540362536
101122204320034
113a2a190a0306
121615a7b58396
1381a92067995
143c45a432d10
151e2ceeddaa9
hex10548970122

1122204320034 has 128 divisors (see below), whose sum is σ = 2646759628800. Its totient is φ = 310536875520.

The previous prime is 1122204320023. The next prime is 1122204320057. The reversal of 1122204320034 is 4300234022211.

It is a happy number.

It is a super-2 number, since 2×11222043200342 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122204319986 and 1122204320013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141563379 + ... + 141571305.

It is an arithmetic number, because the mean of its divisors is an integer number (20677809600).

Almost surely, 21122204320034 is an apocalyptic number.

1122204320034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122204320034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323379814400).

1122204320034 is an abundant number, since it is smaller than the sum of its proper divisors (1524555308766).

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

1122204320034 is a wasteful number, since it uses less digits than its factorization.

1122204320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1122204320034 its reverse (4300234022211), we get a palindrome (5422438342245).

The spelling of 1122204320034 in words is "one trillion, one hundred twenty-two billion, two hundred four million, three hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 229 246 287 359 458 574 687 718 861 1077 1374 1603 1722 2154 2513 3206 4809 5026 7539 7927 9389 9618 14719 15078 15854 18778 23781 28167 29438 44157 47562 55489 56334 65723 82211 88314 103033 110978 131446 164422 166467 197169 206066 246633 309099 325007 332934 394338 493266 575477 618198 650014 975021 1150954 1726431 1815283 1950042 2275049 2845793 3370651 3452862 3630566 4550098 5445849 5691586 6741302 6825147 8537379 10111953 10891698 12706981 13650294 17074758 19920551 20223906 23594557 25413962 38120943 39841102 47189114 59761653 70783671 74426603 76241886 116677513 119523306 141567342 148853206 223279809 233355026 350032539 446559618 520986221 651686597 700065078 816742591 1041972442 1303373194 1562958663 1633485182 1955059791 2450227773 3125917326 3910119582 4561806179 4900455546 9123612358 13685418537 26719150477 27370837074 53438300954 80157451431 160314902862 187034053339 374068106678 561102160017 1122204320034