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130822450760 = 23517249922679
BaseRepresentation
bin111100111010110100…
…0000010111001001000
3110111200020112001222002
41321311220002321020
54120411021411020
6140033215050132
712310621324661
oct1716550027110
9414606461862
10130822450760
1150532954601
1221430210948
13c44b3b84a1
1464907da368
15360a172975
hex1e75a02e48

130822450760 has 96 divisors (see below), whose sum is σ = 313324200000. Its totient is φ = 49149938688.

The previous prime is 130822450757. The next prime is 130822450799. The reversal of 130822450760 is 67054228031.

It is a happy number.

It is a super-2 number, since 2×1308224507602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5757101 + ... + 5779779.

It is an arithmetic number, because the mean of its divisors is an integer number (3263793750).

Almost surely, 2130822450760 is an apocalyptic number.

130822450760 is a gapful number since it is divisible by the number (10) 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 130822450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156662100000).

130822450760 is an abundant number, since it is smaller than the sum of its proper divisors (182501749240).

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

130822450760 is a wasteful number, since it uses less digits than its factorization.

130822450760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23223 (or 23202 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 130822450760 its reverse (67054228031), we get a palindrome (197876678791).

The spelling of 130822450760 in words is "one hundred thirty billion, eight hundred twenty-two million, four hundred fifty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 499 578 680 998 1156 1445 1996 2312 2495 2890 3992 4990 5780 8483 9980 11560 16966 19960 22679 33932 42415 45358 67864 84830 90716 113395 144211 169660 181432 226790 288422 339320 385543 453580 576844 721055 771086 907160 1153688 1442110 1542172 1927715 2884220 3084344 3855430 5768440 6554231 7710860 11316821 13108462 15421720 22633642 26216924 32771155 45267284 52433848 56584105 65542310 90534568 113168210 131084620 192385957 226336420 262169240 384771914 452672840 769543828 961929785 1539087656 1923859570 3270561269 3847719140 6541122538 7695438280 13082245076 16352806345 26164490152 32705612690 65411225380 130822450760