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10033240212 = 22324710158711
BaseRepresentation
bin10010101100000011…
…10001100010010100
3221220020022102010100
421112001301202110
5131022002141322
64335331054100
7503430064122
oct112601614224
927806272110
1010033240212
114289558966
121b40141330
13c3b858238
146b2736912
153dac76dac
hex256071894

10033240212 has 72 divisors (see below), whose sum is σ = 26158309632. Its totient is φ = 3240792000.

The previous prime is 10033240169. The next prime is 10033240219. The reversal of 10033240212 is 21204233001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033240219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141537 + ... + 200247.

It is an arithmetic number, because the mean of its divisors is an integer number (363309856).

Almost surely, 210033240212 is an apocalyptic number.

10033240212 is a gapful number since it is divisible by the number (12) 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 10033240212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079154816).

10033240212 is an abundant number, since it is smaller than the sum of its proper divisors (16125069420).

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

10033240212 is a wasteful number, since it uses less digits than its factorization.

10033240212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58869 (or 58864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10033240212 its reverse (21204233001), we get a palindrome (31237473213).

The spelling of 10033240212 in words is "ten billion, thirty-three million, two hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 202 282 303 404 423 564 606 846 909 1212 1692 1818 3636 4747 9494 14241 18988 28482 42723 56964 58711 85446 117422 170892 176133 234844 352266 528399 704532 1056798 2113596 2759417 5518834 5929811 8278251 11037668 11859622 16556502 17789433 23719244 24834753 33113004 35578866 49669506 53368299 71157732 99339012 106736598 213473196 278701117 557402234 836103351 1114804468 1672206702 2508310053 3344413404 5016620106 10033240212