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10021211244 = 22331144918787
BaseRepresentation
bin10010101010100111…
…11000110001101100
3221212101200021111000
421111103320301230
5131010412224434
64334221200300
7503222614212
oct112523706154
927771607430
1010021211244
114282792370
121b38100090
13c39205cc5
146b0cc4cb2
153d9b9cb99
hex2554f8c6c

10021211244 has 96 divisors (see below), whose sum is σ = 28407456000. Its totient is φ = 3029806080.

The previous prime is 10021211243. The next prime is 10021211269. The reversal of 10021211244 is 44211212001.

10021211244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10021211243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 524019 + ... + 542805.

It is an arithmetic number, because the mean of its divisors is an integer number (295911000).

Almost surely, 210021211244 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 10021211244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203728000).

10021211244 is an abundant number, since it is smaller than the sum of its proper divisors (18386244756).

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

10021211244 is a wasteful number, since it uses less digits than its factorization.

10021211244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19260 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10021211244 its reverse (44211212001), we get a palindrome (54232423245).

The spelling of 10021211244 in words is "ten billion, twenty-one million, two hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 449 594 898 1188 1347 1796 2694 4041 4939 5388 8082 9878 12123 14817 16164 18787 19756 24246 29634 37574 44451 48492 56361 59268 75148 88902 112722 133353 169083 177804 206657 225444 266706 338166 413314 507249 533412 619971 676332 826628 1014498 1239942 1859913 2028996 2479884 3719826 5579739 7439652 8435363 11159478 16870726 22318956 25306089 33741452 50612178 75918267 92788993 101224356 151836534 185577986 227754801 278366979 303673068 371155972 455509602 556733958 835100937 911019204 1113467916 1670201874 2505302811 3340403748 5010605622 10021211244