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1123121214 = 23543223241
BaseRepresentation
bin100001011110001…
…0111100000111110
32220021100110200000
41002330113200332
54300004334324
6303240215130
736555241605
oct10274274076
92807313600
101123121214
11526a77656
1227416a4a6
1314b8b7987
14a923aa3c
15689019c9
hex42f1783e

1123121214 has 96 divisors (see below), whose sum is σ = 2604585984. Its totient is φ = 362517120.

The previous prime is 1123121177. The next prime is 1123121221. The reversal of 1123121214 is 4121213211.

It is a super-2 number, since 2×11231212142 = 2522802522673667592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4660134 + ... + 4660374.

It is an arithmetic number, because the mean of its divisors is an integer number (27131104).

Almost surely, 21123121214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123121214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302292992).

1123121214 is an abundant number, since it is smaller than the sum of its proper divisors (1481464770).

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

1123121214 is a wasteful number, since it uses less digits than its factorization.

1123121214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

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

The square root of 1123121214 is about 33513.0006713812. Note that the first 3 decimals coincide. The cubic root of 1123121214 is about 1039.4626211705.

Adding to 1123121214 its reverse (4121213211), we get a palindrome (5244334425).

It can be divided in two parts, 112312 and 1214, that added together give a triangular number (113526 = T476).

The spelling of 1123121214 in words is "one billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 223 241 243 258 387 446 482 486 669 723 774 1161 1338 1446 2007 2169 2322 3483 4014 4338 6021 6507 6966 9589 10363 10449 12042 13014 18063 19178 19521 20726 20898 28767 31089 36126 39042 53743 54189 57534 58563 62178 86301 93267 107486 108378 117126 161229 172602 186534 258903 279801 322458 483687 517806 559602 776709 839403 967374 1451061 1553418 1678806 2310949 2330127 2518209 2902122 4353183 4621898 4660254 5036418 6932847 8706366 13059549 13865694 20798541 26119098 41597082 62395623 124791246 187186869 374373738 561560607 1123121214