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134321112216 = 23341933373187
BaseRepresentation
bin111110100011000101…
…0011000010010011000
3110211201001212111020000
41331012022120102120
54200042201042331
6141412315333000
712463413421104
oct1750612302230
9424631774200
10134321112216
1151a68847755
1222047a51160
13c8881a6775
14670332a904
1537623b80e6
hex1f46298498

134321112216 has 160 divisors (see below), whose sum is σ = 379414017840. Its totient is φ = 44395610112.

The previous prime is 134321112209. The next prime is 134321112223. The reversal of 134321112216 is 612211123431.

134321112216 is a `hidden beast` number, since 1 + 3 + 432 + 1 + 1 + 1 + 221 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (134321112209) and next prime (134321112223).

It is a super-2 number, since 2×1343211122162 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134321112216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42144975 + ... + 42148161.

Almost surely, 2134321112216 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 134321112216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189707008920).

134321112216 is an abundant number, since it is smaller than the sum of its proper divisors (245092905624).

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

134321112216 is a wasteful number, since it uses less digits than its factorization.

134321112216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3722 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 134321112216 its reverse (612211123431), we get a palindrome (746532235647).

The spelling of 134321112216 in words is "one hundred thirty-four billion, three hundred twenty-one million, one hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 337 386 579 648 674 772 1011 1158 1348 1544 1737 2022 2316 2696 3033 3187 3474 4044 4632 5211 6066 6374 6948 8088 9099 9561 10422 12132 12748 13896 15633 18198 19122 20844 24264 25496 27297 28683 31266 36396 38244 41688 54594 57366 62532 65041 72792 76488 86049 109188 114732 125064 130082 172098 195123 218376 229464 258147 260164 344196 390246 516294 520328 585369 615091 688392 780492 1032588 1074019 1170738 1230182 1560984 1756107 1845273 2065176 2148038 2341476 2460364 3222057 3512214 3690546 4296076 4682952 4920728 5268321 5535819 6444114 7024428 7381092 8592152 9666171 10536642 11071638 12888228 14048856 14762184 16607457 19332342 21073284 22143276 25776456 28998513 33214914 38664684 42146568 44286552 49822371 57997026 66429828 77329368 86995539 99644742 115994052 132859656 173991078 199289484 207285667 231988104 347982156 398578968 414571334 621857001 695964312 829142668 1243714002 1658285336 1865571003 2487428004 3731142006 4974856008 5596713009 7462284012 11193426018 14924568024 16790139027 22386852036 33580278054 44773704072 67160556108 134321112216