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1130011434 = 2321971173269
BaseRepresentation
bin100001101011010…
…1001101100101010
32220202022112021100
41003112221230222
54303240331214
6304044022230
740000636656
oct10326515452
92822275240
101130011434
1152a953352
12276531976
1315015ac26
14aa111a66
1569313309
hex435a9b2a

1130011434 has 96 divisors (see below), whose sum is σ = 2638396800. Its totient is φ = 348485760.

The previous prime is 1130011429. The next prime is 1130011439. The reversal of 1130011434 is 4341100311.

It is an interprime number because it is at equal distance from previous prime (1130011429) and next prime (1130011439).

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

It is not an unprimeable number, because it can be changed into a prime (1130011439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4200652 + ... + 4200920.

It is an arithmetic number, because the mean of its divisors is an integer number (27483300).

Almost surely, 21130011434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130011434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319198400).

1130011434 is an abundant number, since it is smaller than the sum of its proper divisors (1508385366).

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

1130011434 is a wasteful number, since it uses less digits than its factorization.

1130011434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130011434 is about 33615.6426980059. The cubic root of 1130011434 is about 1041.5839504011.

Adding to 1130011434 its reverse (4341100311), we get a palindrome (5471111745).

The spelling of 1130011434 in words is "one billion, one hundred thirty million, eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 173 213 269 342 346 426 519 538 639 807 1038 1278 1349 1557 1614 2421 2698 3114 3287 4047 4842 5111 6574 8094 9861 10222 12141 12283 15333 19099 19722 24282 24566 29583 30666 36849 38198 45999 46537 57297 59166 73698 91998 93074 110547 114594 139611 171891 221094 233377 279222 343782 362881 418833 466754 700131 725762 837666 884203 1088643 1400262 1768406 2100393 2177286 2652609 3265929 3304127 4200786 5305218 6531858 6608254 7957827 9912381 15915654 19824762 29737143 59474286 62778413 125556826 188335239 376670478 565005717 1130011434