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11219551002 = 23311210931571
BaseRepresentation
bin10100111001011110…
…01100001100011010
31001221220120020121000
422130233030030122
5140434201113002
65053145525430
7545013416142
oct123457141432
931856506530
1011219551002
114838164800
1222114a3876
13109a56889a
14786101922
15459eab61c
hex29cbcc31a

11219551002 has 96 divisors (see below), whose sum is σ = 27447497280. Its totient is φ = 3394591200.

The previous prime is 11219550989. The next prime is 11219551003. The reversal of 11219551002 is 20015591211.

11219551002 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 (27).

It is not an unprimeable number, because it can be changed into a prime (11219551003) 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 47 ways as a sum of consecutive naturals, for example, 7140877 + ... + 7142447.

It is an arithmetic number, because the mean of its divisors is an integer number (285911430).

Almost surely, 211219551002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11219551002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723748640).

11219551002 is an abundant number, since it is smaller than the sum of its proper divisors (16227946278).

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

11219551002 is a wasteful number, since it uses less digits than its factorization.

11219551002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11219551002 in words is "eleven billion, two hundred nineteen million, five hundred fifty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1093 1571 2178 2186 3142 3267 3279 4713 6534 6558 9426 9837 12023 14139 17281 19674 24046 28278 29511 34562 36069 42417 51843 59022 72138 84834 103686 108207 132253 155529 190091 216414 264506 311058 324621 380182 396759 466587 570273 649242 793518 933174 1140546 1190277 1710819 1717103 2380554 3421638 3434206 3570831 5132457 5151309 7141662 10264914 10302618 15453927 18888133 30907854 37776266 46361781 56664399 92723562 113328798 169993197 207769463 339986394 415538926 509979591 623308389 1019959182 1246616778 1869925167 3739850334 5609775501 11219551002