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13000032122 = 2721122414549
BaseRepresentation
bin11000001101101110…
…01011111101111010
31020112222212001112012
430012313023331322
5203111002011442
65545551445522
7640103310200
oct140667137572
936488761465
1013000032122
1155711a7600
1226298268a2
1312c23b34cc
148b4777070
1551145b582
hex306dcbf7a

13000032122 has 72 divisors (see below), whose sum is σ = 25042317300. Its totient is φ = 5042822400.

The previous prime is 13000032121. The next prime is 13000032127. The reversal of 13000032122 is 22123000031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12175136281 + 824895841 = 110341^2 + 28721^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13000032097 and 13000032106.

It is not an unprimeable number, because it can be changed into a prime (13000032121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2855504 + ... + 2860052.

Almost surely, 213000032122 is an apocalyptic number.

13000032122 is a deficient number, since it is larger than the sum of its proper divisors (12042285178).

13000032122 is a wasteful number, since it uses less digits than its factorization.

13000032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13000032122 its reverse (22123000031), we get a palindrome (35123032153).

The spelling of 13000032122 in words is "thirteen billion, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 121 154 241 242 482 539 847 1078 1687 1694 2651 3374 4549 5302 5929 9098 11809 11858 18557 23618 29161 31843 37114 50039 58322 63686 100078 129899 204127 222901 259798 350273 408254 445802 550429 700546 1096309 1100858 1428889 2192618 2451911 2857778 3853003 4903822 7674163 7706006 12059399 15348326 24118798 26971021 53719141 53942042 84415793 107438282 132653389 168831586 265306778 590910551 928573723 1181821102 1857147446 6500016061 13000032122