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13214142522 = 234723153699
BaseRepresentation
bin11000100111001111…
…11101000000111010
31021002220201222210000
430103213331000322
5204030310030042
610023120533430
7645313233600
oct142347750072
937086658700
1013214142522
115671047949
122689481276
13132786b259
148d4d8d870
1552515174c
hex3139fd03a

13214142522 has 120 divisors (see below), whose sum is σ = 35555414400. Its totient is φ = 3653611920.

The previous prime is 13214142499. The next prime is 13214142559. The reversal of 13214142522 is 22524141231.

13214142522 is a `hidden beast` number, since 1 + 3 + 214 + 1 + 425 + 22 = 666.

It is a super-2 number, since 2×132141425222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 219229 + ... + 272927.

It is an arithmetic number, because the mean of its divisors is an integer number (296295120).

Almost surely, 213214142522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214142522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777707200).

13214142522 is an abundant number, since it is smaller than the sum of its proper divisors (22341271878).

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

13214142522 is a wasteful number, since it uses less digits than its factorization.

13214142522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53758 (or 53742 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 13214142522 its reverse (22524141231), we get a palindrome (35738283753).

The spelling of 13214142522 in words is "thirteen billion, two hundred fourteen million, one hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 147 162 186 189 217 279 294 378 434 441 558 567 651 837 882 1134 1302 1323 1519 1674 1953 2511 2646 3038 3906 3969 4557 5022 5859 7938 9114 11718 13671 17577 27342 35154 41013 53699 82026 107398 123039 161097 246078 322194 375893 483291 751786 966582 1127679 1449873 1664669 2255358 2631251 2899746 3329338 3383037 4349619 4994007 5262502 6766074 7893753 8699238 9988014 10149111 11652683 14982021 15787506 20298222 23305366 23681259 29964042 30447333 34958049 44946063 47362518 60894666 69916098 71043777 81568781 89892126 104874147 134838189 142087554 163137562 209748294 213131331 244706343 269676378 314622441 426262662 489412686 629244882 734119029 943867323 1468238058 1887734646 2202357087 4404714174 6607071261 13214142522