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10332011214 = 234740122721
BaseRepresentation
bin10011001111101010…
…11111101011001110
3222200001111112220000
421213311133223032
5132124443324324
64425122505130
7514015434450
oct114765375316
928601445800
1010332011214
114422172a48
1220042051a6
13c88715805
147002aa2d0
154070e19c9
hex267d5face

10332011214 has 80 divisors (see below), whose sum is σ = 26525844576. Its totient is φ = 2944512000.

The previous prime is 10332011191. The next prime is 10332011281. The reversal of 10332011214 is 41211023301.

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

It is a Curzon number.

It is a zygodrome in base 3.

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, 443374 + ... + 466094.

Almost surely, 210332011214 is an apocalyptic number.

10332011214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332011214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262922288).

10332011214 is an abundant number, since it is smaller than the sum of its proper divisors (16193833362).

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

10332011214 is a wasteful number, since it uses less digits than its factorization.

10332011214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23143 (or 23134 counting only the distinct ones).

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

Adding to 10332011214 its reverse (41211023301), we get a palindrome (51543034515).

The spelling of 10332011214 in words is "ten billion, three hundred thirty-two million, eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 401 567 802 1134 1203 2406 2807 3609 5614 7218 8421 10827 16842 21654 22721 25263 32481 45442 50526 64962 68163 75789 136326 151578 159047 204489 227367 318094 408978 454734 477141 613467 954282 1226934 1431423 1840401 2862846 3680802 4294269 8588538 9111121 12882807 18222242 25765614 27333363 54666726 63777847 82000089 127555694 164000178 191333541 246000267 382667082 492000534 574000623 738000801 1148001246 1476001602 1722001869 3444003738 5166005607 10332011214