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101943468 = 223311229269
BaseRepresentation
bin1100001001110…
…00100010101100
321002211021011000
412010320202230
5202044142333
614041000300
72345335164
oct604704254
9232737130
10101943468
11525a9700
122a183090
13181742a3
14d7795a4
158e3a713
hex61388ac

101943468 has 144 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 29715840.

The previous prime is 101943461. The next prime is 101943487. The reversal of 101943468 is 864349101.

101943468 is a `hidden beast` number, since 1 + 0 + 194 + 3 + 468 = 666.

It is a super-3 number, since 3×1019434683 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101943461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378838 + ... + 379106.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2101943468 is an apocalyptic number.

101943468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101943468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

101943468 is an abundant number, since it is smaller than the sum of its proper divisors (199700532).

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

101943468 is a wasteful number, since it uses less digits than its factorization.

101943468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101943468 is about 10096.7057994179. The cubic root of 101943468 is about 467.1465379007.

The spelling of 101943468 in words is "one hundred one million, nine hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 269 297 319 348 363 396 484 522 538 594 638 726 783 807 957 1044 1076 1089 1188 1276 1452 1566 1614 1914 2178 2421 2871 2959 3132 3228 3267 3509 3828 4356 4842 5742 5918 6534 7018 7263 7801 8613 8877 9684 10527 11484 11836 13068 14036 14526 15602 17226 17754 21054 23403 26631 29052 31204 31581 32549 34452 35508 42108 46806 53262 63162 65098 70209 79893 85811 93612 94743 97647 106524 126324 130196 140418 159786 171622 189486 195294 210627 257433 280836 292941 319572 343244 378972 390588 421254 514866 585882 772299 842508 878823 943921 1029732 1171764 1544598 1757646 1887842 2316897 2831763 3089196 3515292 3775684 4633794 5663526 8495289 9267588 11327052 16990578 25485867 33981156 50971734 101943468