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13000010322 = 2313229592127
BaseRepresentation
bin11000001101101110…
…00110101001010010
31020112222210221121210
430012313012221102
5203111000312242
65545551200550
7640103156505
oct140667065122
936488727553
1013000010322
115571192192
122629816156
1312c23a6600
148b476d13c
15511454d9c
hex306dc6a52

13000010322 has 144 divisors (see below), whose sum is σ = 29859978240. Its totient is φ = 3766718592.

The previous prime is 13000010321. The next prime is 13000010323. The reversal of 13000010322 is 22301000031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13000010321) and next prime (13000010323).

It is a junction number, because it is equal to n+sod(n) for n = 13000010298 and 13000010307.

It is not an unprimeable number, because it can be changed into a prime (13000010321) 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, 102362223 + ... + 102362349.

It is an arithmetic number, because the mean of its divisors is an integer number (207360960).

Almost surely, 213000010322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000010322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929989120).

13000010322 is an abundant number, since it is smaller than the sum of its proper divisors (16859967918).

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

13000010322 is a wasteful number, since it uses less digits than its factorization.

13000010322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000010322 its reverse (22301000031), we get a palindrome (35301010353).

The spelling of 13000010322 in words is "thirteen billion, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 59 78 87 118 127 169 174 177 254 338 354 377 381 507 754 762 767 1014 1131 1534 1651 1711 2262 2301 3302 3422 3481 3683 4602 4901 4953 5133 6962 7366 7493 9802 9906 9971 10266 10443 11049 14703 14986 19942 20886 21463 22098 22243 22479 29406 29913 42926 44486 44958 45253 47879 59826 64389 66729 90506 95758 97409 100949 128778 133458 135759 143637 194818 201898 217297 271518 287274 289159 292227 302847 434594 442087 578318 584454 588289 605694 622427 651891 867477 884174 1176578 1244854 1266317 1303782 1312337 1326261 1734954 1764867 1867281 2532634 2624674 2652522 2824861 3529734 3734562 3798951 3937011 5649722 5747131 7597902 7874022 8474583 11494262 12820523 16949166 17060381 17241393 25641046 34120762 34482786 36723193 38461569 51181143 73446386 74712703 76923138 102362286 110169579 149425406 166666799 220339158 224138109 333333598 448276218 500000397 1000000794 2166668387 4333336774 6500005161 13000010322