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1123212112302 = 2374310942113553
BaseRepresentation
bin10000010110000100101…
…010001011000110101110
310222101012120202020200210
4100112010222023012232
5121400314300043202
62215555125403250
7144102146266230
oct20260452130656
93871176666623
101123212112302
113a3395a56585
12161829569526
1381bc2aa2877
143c51420c250
151e33d70dc6c
hex10584a8b1ae

1123212112302 has 128 divisors (see below), whose sum is σ = 2657642296320. Its totient is φ = 309818234880.

The previous prime is 1123212112301. The next prime is 1123212112307. The reversal of 1123212112302 is 2032112123211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123212112301) 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 63 ways as a sum of consecutive naturals, for example, 82868758 + ... + 82882310.

It is an arithmetic number, because the mean of its divisors is an integer number (20762830440).

Almost surely, 21123212112302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123212112302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328821148160).

1123212112302 is an abundant number, since it is smaller than the sum of its proper divisors (1534430184018).

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

1123212112302 is a wasteful number, since it uses less digits than its factorization.

1123212112302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1123212112302 its reverse (2032112123211), we get a palindrome (3155324235513).

The spelling of 1123212112302 in words is "one trillion, one hundred twenty-three billion, two hundred twelve million, one hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 86 109 129 218 258 301 327 421 602 654 763 842 903 1263 1526 1806 2289 2526 2947 4578 4687 5894 8841 9374 13553 14061 17682 18103 27106 28122 32809 36206 40659 45889 54309 65618 81318 91778 94871 98427 108618 126721 137667 189742 196854 253442 275334 284613 321223 380163 569226 582779 642446 760326 963669 1165558 1477277 1748337 1927338 1973227 2954554 3496674 3946454 4079453 4431831 5705813 5919681 8158906 8863662 10340939 11411626 11839362 12238359 13812589 17117439 20681878 24476718 27625178 31022817 34234878 39940691 41437767 62045634 63522911 79881382 82875534 119822073 127045822 190568733 239644146 245349959 381137466 444660377 490699918 621933617 736049877 889320754 1243867234 1333981131 1472099754 1717449713 1865800851 2667962262 3434899426 3731601702 4353535319 5152349139 8707070638 10304698278 13060605957 26121211914 26743145531 53486291062 80229436593 160458873186 187202018717 374404037434 561606056151 1123212112302