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13045342212 = 22327137379997
BaseRepresentation
bin11000010011001000…
…00010000000000100
31020200011010001021200
430021210002000010
5203204101422322
65554250542500
7641163402450
oct141144020004
936604101250
1013045342212
115594834761
122640a37a30
1312cb8b9006
148ba7ad660
1551540b8ac
hex309902004

13045342212 has 144 divisors (see below), whose sum is σ = 38099967360. Its totient is φ = 3686570496.

The previous prime is 13045342129. The next prime is 13045342213. The reversal of 13045342212 is 21224354031.

13045342212 is a `hidden beast` number, since 1 + 304 + 5 + 342 + 2 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (13045342213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13084098 + ... + 13085094.

Almost surely, 213045342212 is an apocalyptic number.

13045342212 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 13045342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049983680).

13045342212 is an abundant number, since it is smaller than the sum of its proper divisors (25054625148).

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

13045342212 is a wasteful number, since it uses less digits than its factorization.

13045342212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13045342212 its reverse (21224354031), we get a palindrome (34269696243).

The spelling of 13045342212 in words is "thirteen billion, forty-five million, three hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 379 411 548 758 822 959 997 1137 1233 1516 1644 1918 1994 2274 2466 2653 2877 2991 3411 3836 3988 4548 4932 5306 5754 5982 6822 6979 7959 8631 8973 10612 11508 11964 13644 13958 15918 17262 17946 20937 23877 27916 31836 34524 35892 41874 47754 51923 62811 83748 95508 103846 125622 136589 155769 207692 251244 273178 311538 363461 377863 409767 467307 546356 623076 726922 755726 819534 934614 956123 1090383 1133589 1229301 1453844 1511452 1639068 1869228 1912246 2180766 2267178 2458602 2645041 2868369 3271149 3400767 3824492 4361532 4534356 4917204 5290082 5736738 6542298 6801534 7935123 8605107 10580164 11473476 13084596 13603068 15870246 17210214 23805369 31740492 34420428 47610738 51767231 95221476 103534462 155301693 207068924 310603386 362370617 465905079 621206772 724741234 931810158 1087111851 1449482468 1863620316 2174223702 3261335553 4348447404 6522671106 13045342212