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13042220004 = 223211177326539
BaseRepresentation
bin11000010010110000…
…00111101111100100
31020122221020102102100
430021120013233210
5203202302020004
65554100012100
7641125020012
oct141130075744
936587212370
1013042220004
115592aa1a20
12263b991030
1312cb064b58
148ba1d98b2
15514ee1739
hex309607be4

13042220004 has 144 divisors (see below), whose sum is σ = 38603597760. Its totient is φ = 3668613120.

The previous prime is 13042219999. The next prime is 13042220057. The reversal of 13042220004 is 40002224031.

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 47 ways as a sum of consecutive naturals, for example, 478167 + ... + 504705.

It is an arithmetic number, because the mean of its divisors is an integer number (268080540).

Almost surely, 213042220004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042220004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19301798880).

13042220004 is an abundant number, since it is smaller than the sum of its proper divisors (25561377756).

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

13042220004 is a wasteful number, since it uses less digits than its factorization.

13042220004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26650 (or 26645 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13042220004 its reverse (40002224031), we get a palindrome (53044444035).

It can be divided in two parts, 130422 and 20004, that added together give a triangular number (150426 = T548).

The spelling of 13042220004 in words is "thirteen billion, forty-two million, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 73 99 102 132 146 153 187 198 204 219 292 306 374 396 438 561 612 657 748 803 876 1122 1241 1314 1606 1683 2244 2409 2482 2628 3212 3366 3723 4818 4964 6732 7227 7446 9636 11169 13651 14454 14892 22338 26539 27302 28908 40953 44676 53078 54604 79617 81906 106156 122859 159234 163812 238851 245718 291929 318468 451163 477702 491436 583858 875787 902326 955404 1167716 1353489 1751574 1804652 1937347 2627361 2706978 3503148 3874694 4060467 4962793 5254722 5413956 5812041 7749388 8120934 9925586 10509444 11624082 14888379 16241868 17436123 19851172 21310817 23248164 29776758 32934899 34872246 42621634 44665137 59553516 63932451 65869798 69744492 85243268 89330274 98804697 127864902 131739596 178660548 191797353 197609394 255729804 296414091 362283889 383594706 395218788 592828182 724567778 767189412 1086851667 1185656364 1449135556 2173703334 3260555001 4347406668 6521110002 13042220004