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10212200054 = 273232107263
BaseRepresentation
bin10011000001011000…
…11100111001110110
3222100201001111212122
421200230130321312
5131403310400204
64405202515542
7511032161000
oct114054347166
928321044778
1010212200054
114370580061
121b90065bb2
13c69956834
146cc3dd370
153eb8270be
hex260b1ce76

10212200054 has 96 divisors (see below), whose sum is σ = 18920563200. Its totient is φ = 4131473808.

The previous prime is 10212200029. The next prime is 10212200093. The reversal of 10212200054 is 45000221201.

10212200054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38829527 + ... + 38829789.

It is an arithmetic number, because the mean of its divisors is an integer number (197089200).

Almost surely, 210212200054 is an apocalyptic number.

10212200054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10212200054 is a deficient number, since it is larger than the sum of its proper divisors (8708363146).

10212200054 is a wasteful number, since it uses less digits than its factorization.

10212200054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10212200054 its reverse (45000221201), we get a palindrome (55212421255).

The spelling of 10212200054 in words is "ten billion, two hundred twelve million, two hundred thousand, fifty-four".

Divisors: 1 2 7 14 23 46 49 98 107 161 214 263 322 343 526 529 686 749 1058 1127 1498 1841 2254 2461 3682 3703 4922 5243 6049 7406 7889 10486 12098 12887 15778 17227 25774 25921 28141 34454 36701 42343 51842 56282 56603 73402 84686 90209 113206 120589 139127 180418 181447 196987 241178 278254 296401 362894 393974 396221 592802 647243 792442 844123 973889 1294486 1378909 1688246 1947778 2074807 2757818 2773547 4149614 4530701 5547094 6817223 9061402 9652363 13634446 14886589 19304726 19414829 29773178 31714907 38829658 47720561 63429814 95441122 104206123 208412246 222004349 444008698 729442861 1458885722 5106100027 10212200054