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130213008 = 2435107313
BaseRepresentation
bin1111100001011…
…10010010010000
3100002000111200000
413300232102100
5231313304013
620530530000
73140535522
oct760562220
9302014600
10130213008
1167557a62
1237736900
1320c91723
1413417a12
15b671973
hex7c2e490

130213008 has 120 divisors (see below), whose sum is σ = 382663008. Its totient is φ = 42861312.

The previous prime is 130213001. The next prime is 130213019. The reversal of 130213008 is 800312031.

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 (130213001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415860 + ... + 416172.

Almost surely, 2130213008 is an apocalyptic number.

130213008 is a gapful number since it is divisible by the number (18) 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 130213008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191331504).

130213008 is an abundant number, since it is smaller than the sum of its proper divisors (252450000).

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

130213008 is a wasteful number, since it uses less digits than its factorization.

130213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

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

The square root of 130213008 is about 11411.0914464831. The cubic root of 130213008 is about 506.8562317755.

Adding to 130213008 its reverse (800312031), we get a palindrome (930525039).

The spelling of 130213008 in words is "one hundred thirty million, two hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 243 313 321 324 428 432 486 626 642 648 856 939 963 972 1252 1284 1296 1712 1878 1926 1944 2504 2568 2817 2889 3756 3852 3888 5008 5136 5634 5778 7512 7704 8451 8667 11268 11556 15024 15408 16902 17334 22536 23112 25353 26001 33491 33804 34668 45072 46224 50706 52002 66982 67608 69336 76059 100473 101412 104004 133964 135216 138672 152118 200946 202824 208008 267928 301419 304236 401892 405648 416016 535856 602838 608472 803784 904257 1205676 1216944 1607568 1808514 2411352 2712771 3617028 4822704 5425542 7234056 8138313 10851084 14468112 16276626 21702168 32553252 43404336 65106504 130213008