Search a number
-
+
13125421008 = 2433719228443
BaseRepresentation
bin11000011100101011…
…00000011111010000
31020212201210110202000
430032111200133100
5203340101433013
610010231154000
7643155144360
oct141625403720
936781713660
1013125421008
115625a5a087
122663815900
13131237620b
148c72969a0
1551c478973
hex30e5607d0

13125421008 has 160 divisors (see below), whose sum is σ = 45323289600. Its totient is φ = 3552729984.

The previous prime is 13125420991. The next prime is 13125421031. The reversal of 13125421008 is 80012452131.

13125421008 is a `hidden beast` number, since 1 + 3 + 12 + 542 + 100 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 56766 + ... + 171677.

It is an arithmetic number, because the mean of its divisors is an integer number (283270560).

Almost surely, 213125421008 is an apocalyptic number.

13125421008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13125421008 is an abundant number, since it is smaller than the sum of its proper divisors (32197868592).

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

13125421008 is a wasteful number, since it uses less digits than its factorization.

13125421008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228486 (or 228474 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13125421008 its reverse (80012452131), we get a palindrome (93137873139).

The spelling of 13125421008 in words is "thirteen billion, one hundred twenty-five million, four hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 228443 456886 685329 913772 1370658 1599101 1827544 2055987 2741316 3198202 3655088 4111974 4340417 4797303 5482632 6167961 6396404 8223948 8680834 9594606 10965264 12335922 12792808 13021251 14391909 16447896 17361668 19189212 24671844 25585616 26042502 28783818 30382919 32895792 34723336 38378424 39063753 43175727 49343688 52085004 57567636 60765838 69446672 76756848 78127506 86351454 91148757 98687376 104170008 115135272 117191259 121531676 156255012 172702908 182297514 208340016 230270544 234382518 243063352 273446271 312510024 345405816 364595028 468765036 486126704 546892542 625020048 690811632 729190056 820338813 937530072 1093785084 1458380112 1640677626 1875060144 2187570168 3281355252 4375140336 6562710504 13125421008