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11213203302 = 2337149263757
BaseRepresentation
bin10100111000101101…
…11110011101100110
31001221110121202012000
422130112332131212
5140431040001202
65052401510130
7544605440550
oct123426763546
931843552160
1011213203302
114834619674
12220b342346
131099155552
1478532c4d0
1545965591c
hex29c5be766

11213203302 has 128 divisors (see below), whose sum is σ = 28816128000. Its totient is φ = 3165982848.

The previous prime is 11213203301. The next prime is 11213203319. The reversal of 11213203302 is 20330231211.

11213203302 is a `hidden beast` number, since 1 + 12 + 1 + 320 + 330 + 2 = 666.

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 (11213203301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14812308 + ... + 14813064.

It is an arithmetic number, because the mean of its divisors is an integer number (225126000).

Almost surely, 211213203302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213203302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408064000).

11213203302 is an abundant number, since it is smaller than the sum of its proper divisors (17602924698).

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

11213203302 is a wasteful number, since it uses less digits than its factorization.

11213203302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11213203302 its reverse (20330231211), we get a palindrome (31543434513).

The spelling of 11213203302 in words is "eleven billion, two hundred thirteen million, two hundred three thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 263 298 378 447 526 757 789 894 1043 1341 1514 1578 1841 2086 2271 2367 2682 3129 3682 4023 4542 4734 5299 5523 6258 6813 7101 8046 9387 10598 11046 13626 14202 15897 16569 18774 20439 28161 31794 33138 39187 40878 47691 49707 56322 78374 95382 99414 112793 117561 143073 199091 225586 235122 274309 286146 338379 352683 398182 548618 597273 676758 705366 789551 822927 1015137 1058049 1194546 1393637 1579102 1645854 1791819 2030274 2116098 2368653 2468781 2787274 3045411 3583638 4180911 4737306 4937562 5375457 6090822 7105959 7406343 8361822 10750914 12542733 14211918 14812686 21317877 25085466 29664559 37628199 42635754 59329118 75256398 88993677 177987354 207651913 266981031 415303826 533962062 622955739 800943093 1245911478 1601886186 1868867217 3737734434 5606601651 11213203302