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10011201228 = 22327347114487
BaseRepresentation
bin10010101001011011…
…01100111011001100
3221211200211201022200
421110231230323030
5131000331414403
64333222441500
7503041543410
oct112455547314
927750751280
1010011201228
114278075726
121b34893290
13c3710ca12
146ad83ad40
153d8d71ca3
hex254b6cecc

10011201228 has 72 divisors (see below), whose sum is σ = 29004847872. Its totient is φ = 2852075232.

The previous prime is 10011201209. The next prime is 10011201229. The reversal of 10011201228 is 82210211001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10011201228.

It is not an unprimeable number, because it can be changed into a prime (10011201229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30201 + ... + 144687.

Almost surely, 210011201228 is an apocalyptic number.

10011201228 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 10011201228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502423936).

10011201228 is an abundant number, since it is smaller than the sum of its proper divisors (18993646644).

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

10011201228 is a wasteful number, since it uses less digits than its factorization.

10011201228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114851 (or 114846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10011201228 its reverse (82210211001), we get a palindrome (92221412229).

The spelling of 10011201228 in words is "ten billion, eleven million, two hundred one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 347 694 1041 1388 2082 2429 3123 4164 4858 6246 7287 9716 12492 14574 21861 29148 43722 87444 114487 228974 343461 457948 686922 801409 1030383 1373844 1602818 2060766 2404227 3205636 4121532 4808454 7212681 9616908 14425362 28850724 39726989 79453978 119180967 158907956 238361934 278088923 357542901 476723868 556177846 715085802 834266769 1112355692 1430171604 1668533538 2502800307 3337067076 5005600614 10011201228