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1130101434 = 2327113722037
BaseRepresentation
bin100001101011011…
…1111101010111010
32220202111002201200
41003112333222322
54303301221214
6304045555030
740001463240
oct10326775272
92822432650
101130101434
1152aa04a30
12276575a76
1315018cb97
14aa136790
156932ed09
hex435bfaba

1130101434 has 96 divisors (see below), whose sum is σ = 3135390336. Its totient is φ = 285586560.

The previous prime is 1130101421. The next prime is 1130101451. The reversal of 1130101434 is 4341010311.

1130101434 is a `hidden beast` number, since 1 + 130 + 101 + 434 = 666.

It is a super-2 number, since 2×11301014342 = 2554258502257712712, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40264 + ... + 62300.

It is an arithmetic number, because the mean of its divisors is an integer number (32660316).

Almost surely, 21130101434 is an apocalyptic number.

1130101434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130101434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567695168).

1130101434 is an abundant number, since it is smaller than the sum of its proper divisors (2005288902).

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

1130101434 is a wasteful number, since it uses less digits than its factorization.

1130101434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100 (or 22097 counting only the distinct ones).

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

The square root of 1130101434 is about 33616.9813338438. The cubic root of 1130101434 is about 1041.6116020585.

Adding to 1130101434 its reverse (4341010311), we get a palindrome (5471111745).

The spelling of 1130101434 in words is "one billion, one hundred thirty million, one hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 63 66 74 77 99 111 126 154 198 222 231 259 333 407 462 518 666 693 777 814 1221 1386 1554 2331 2442 2849 3663 4662 5698 7326 8547 17094 22037 25641 44074 51282 66111 132222 154259 198333 242407 308518 396666 462777 484814 727221 815369 925554 1388331 1454442 1630738 1696849 2181663 2446107 2776662 3393698 4363326 4892214 5090547 5707583 7338321 8969059 10181094 11415166 14676642 15271641 17122749 17938118 26907177 30543282 34245498 51368247 53814354 62783413 80721531 102736494 125566826 161443062 188350239 376700478 565050717 1130101434