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13013221122 = 23211253791427
BaseRepresentation
bin11000001111010010…
…11111111100000010
31020120220200010102200
430013221133330002
5203122341033442
65551142254030
7640323361116
oct140751377402
936526603380
1013013221122
115578695700
122632127316
1312c5050755
148b640b746
155126b434c
hex307a5ff02

13013221122 has 144 divisors (see below), whose sum is σ = 31998395520. Its totient is φ = 3817344960.

The previous prime is 13013221121. The next prime is 13013221139. The reversal of 13013221122 is 22112231031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13013221095 and 13013221104.

It is not an unprimeable number, because it can be changed into a prime (13013221121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9118573 + ... + 9119999.

It is an arithmetic number, because the mean of its divisors is an integer number (222211080).

Almost surely, 213013221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999197760).

13013221122 is an abundant number, since it is smaller than the sum of its proper divisors (18985174398).

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

13013221122 is a wasteful number, since it uses less digits than its factorization.

13013221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1575 counting only the distinct ones).

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

Adding to 13013221122 its reverse (22112231031), we get a palindrome (35125452153).

Subtracting 13013221122 from its reverse (22112231031), we obtain a palindrome (9099009909).

The spelling of 13013221122 in words is "thirteen billion, thirteen million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 79 99 106 121 158 159 198 237 242 318 363 474 477 583 711 726 869 954 1089 1166 1422 1427 1738 1749 2178 2607 2854 3498 4187 4281 5214 5247 6413 7821 8374 8562 9559 10494 12561 12826 12843 15642 15697 19118 19239 25122 25686 28677 31394 37683 38478 46057 47091 57354 57717 75366 75631 86031 92114 94182 112733 115434 138171 141273 151262 172062 172667 225466 226893 276342 282546 338199 345334 414513 453786 506627 518001 676398 680679 829026 831941 1013254 1014597 1036002 1240063 1361358 1519881 1554003 1663882 2029194 2480126 2495823 3039762 3108006 3720189 4559643 4991646 5974849 7440378 7487469 9119286 9151351 11160567 11949698 13640693 14974938 17924547 18302702 22321134 27281386 27454053 35849094 40922079 53773641 54908106 65723339 81844158 82362159 107547282 122766237 131446678 164724318 197170017 245532474 394340034 591510051 722956729 1183020102 1445913458 2168870187 4337740374 6506610561 13013221122