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1130213322 = 232723759587
BaseRepresentation
bin100001101011101…
…1010111111001010
32220202200210012200
41003113122333022
54303313311242
6304052221030
740002440400
oct10327327712
92822623180
101130213322
1152aa80aa7
1227660a776
131501cbaa4
14aa165470
156935304c
hex435dafca

1130213322 has 144 divisors (see below), whose sum is σ = 2980242720. Its totient is φ = 308339136.

The previous prime is 1130213303. The next prime is 1130213323. The reversal of 1130213322 is 2233120311.

1130213322 is a `hidden beast` number, since 1 + 130 + 213 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130213295 and 1130213304.

It is not an unprimeable number, because it can be changed into a prime (1130213323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1925113 + ... + 1925699.

It is an arithmetic number, because the mean of its divisors is an integer number (20696130).

Almost surely, 21130213322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490121360).

1130213322 is an abundant number, since it is smaller than the sum of its proper divisors (1850029398).

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

1130213322 is a wasteful number, since it uses less digits than its factorization.

1130213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1130213322 is about 33618.6454515943. The cubic root of 1130213322 is about 1041.6459765519.

Adding to 1130213322 its reverse (2233120311), we get a palindrome (3363333633).

The spelling of 1130213322 in words is "one billion, one hundred thirty million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 59 63 74 98 111 118 126 147 177 222 259 294 333 354 413 441 518 531 587 666 777 826 882 1062 1174 1239 1554 1761 1813 2183 2331 2478 2891 3522 3626 3717 4109 4366 4662 5283 5439 5782 6549 7434 8218 8673 10566 10878 12327 13098 15281 16317 17346 19647 21719 24654 26019 28763 30562 32634 34633 36981 39294 43438 45843 52038 57526 65157 69266 73962 86289 91686 103899 106967 130314 137529 152033 172578 195471 207798 213934 242431 258867 275058 304066 311697 320901 390942 456099 484862 517734 623394 641802 727293 912198 962703 1064231 1281421 1368297 1454586 1697017 1925406 2128462 2181879 2562842 2736594 3192693 3394034 3844263 4363758 5091051 6385386 7688526 8969947 9578079 10182102 11532789 15273153 17939894 19156158 23065578 26909841 30546306 53819682 62789629 80729523 125579258 161459046 188368887 376737774 565106661 1130213322