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1122056430 = 2351141127653
BaseRepresentation
bin100001011100001…
…0011100011101110
32220012100101001120
41002320103203232
54244221301210
6303201321410
736543215355
oct10270234356
92805311046
101122056430
1152640a670
12273936266
1314b604121
14a904099c
1568791270
hex42e138ee

1122056430 has 128 divisors (see below), whose sum is σ = 3037741056. Its totient is φ = 262886400.

The previous prime is 1122056393. The next prime is 1122056443. The reversal of 1122056430 is 346502211.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122056430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1717984 + ... + 1718636.

It is an arithmetic number, because the mean of its divisors is an integer number (23732352).

Almost surely, 21122056430 is an apocalyptic number.

1122056430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122056430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518870528).

1122056430 is an abundant number, since it is smaller than the sum of its proper divisors (1915684626).

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

1122056430 is a wasteful number, since it uses less digits than its factorization.

1122056430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1122056430 is about 33497.1107709307. The cubic root of 1122056430 is about 1039.1340270380.

Adding to 1122056430 its reverse (346502211), we get a palindrome (1468558641).

The spelling of 1122056430 in words is "one billion, one hundred twenty-two million, fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 127 165 205 246 254 330 381 410 451 615 635 653 762 902 1230 1270 1306 1353 1397 1905 1959 2255 2706 2794 3265 3810 3918 4191 4510 5207 6530 6765 6985 7183 8382 9795 10414 13530 13970 14366 15621 19590 20955 21549 26035 26773 31242 35915 41910 43098 52070 53546 57277 71830 78105 80319 82931 107745 114554 133865 156210 160638 165862 171831 215490 248793 267730 286385 294503 343662 401595 414655 497586 572770 589006 803190 829310 859155 883509 912241 1243965 1472515 1718310 1767018 1824482 2487930 2736723 2945030 3400171 4417545 4561205 5473446 6800342 8835090 9122410 10200513 13683615 17000855 20401026 27367230 34001710 37401881 51002565 74803762 102005130 112205643 187009405 224411286 374018810 561028215 1122056430