Search a number
-
+
130102223112 = 23338357712577
BaseRepresentation
bin111100100101010110…
…0100110000100001000
3110102211001021201101000
41321022230212010020
54112422132114422
6135433530055000
712254024435631
oct1711254460410
9412731251330
10130102223112
11501a3349944
122126ab7a460
13c365116194
146422cb8888
1535b6d06cac
hex1e4ab26108

130102223112 has 128 divisors (see below), whose sum is σ = 366412233600. Its totient is φ = 42767253504.

The previous prime is 130102223107. The next prime is 130102223149. The reversal of 130102223112 is 211322201031.

130102223112 is a `hidden beast` number, since 130 + 1 + 0 + 222 + 311 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10338168 + ... + 10350744.

It is an arithmetic number, because the mean of its divisors is an integer number (2862595575).

Almost surely, 2130102223112 is an apocalyptic number.

130102223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130102223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183206116800).

130102223112 is an abundant number, since it is smaller than the sum of its proper divisors (236310010488).

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

130102223112 is a wasteful number, since it uses less digits than its factorization.

130102223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13242 counting only the distinct ones).

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

Adding to 130102223112 its reverse (211322201031), we get a palindrome (341424424143).

The spelling of 130102223112 in words is "one hundred thirty billion, one hundred two million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 577 664 747 996 1154 1494 1731 1992 2241 2308 2988 3462 4482 4616 5193 5976 6924 8964 10386 12577 13848 15579 17928 20772 25154 31158 37731 41544 47891 50308 62316 75462 95782 100616 113193 124632 143673 150924 191564 226386 287346 301848 339579 383128 431019 452772 574692 679158 862038 905544 1043891 1149384 1293057 1358316 1724076 2087782 2586114 2716632 3131673 3448152 4175564 5172228 6263346 7256929 8351128 9395019 10344456 12526692 14513858 18790038 21770787 25053384 28185057 29027716 37580076 43541574 56370114 58055432 65312361 75160152 87083148 112740228 130624722 174166296 195937083 225480456 261249444 391874166 522498888 602325107 783748332 1204650214 1567496664 1806975321 2409300428 3613950642 4818600856 5420925963 7227901284 10841851926 14455802568 16262777889 21683703852 32525555778 43367407704 65051111556 130102223112