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11213002024 = 237319720743
BaseRepresentation
bin10100111000101100…
…01101010100101000
31001221110020112002021
422130112031110220
5140431012031044
65052353314224
7544603642000
oct123426152450
931843215067
1011213002024
1148344a1424
12220b265974
1310990b4a53
147852b9000
15459615e84
hex29c58d528

11213002024 has 64 divisors (see below), whose sum is σ = 24643872000. Its totient is φ = 4780948032.

The previous prime is 11213002007. The next prime is 11213002121. The reversal of 11213002024 is 42020031211.

It is a junction number, because it is equal to n+sod(n) for n = 11213001989 and 11213002007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530197 + ... + 550939.

It is an arithmetic number, because the mean of its divisors is an integer number (385060500).

Almost surely, 211213002024 is an apocalyptic number.

11213002024 is a gapful number since it is divisible by the number (14) 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 11213002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321936000).

11213002024 is an abundant number, since it is smaller than the sum of its proper divisors (13430869976).

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

11213002024 is a wasteful number, since it uses less digits than its factorization.

11213002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20967 (or 20949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11213002024 its reverse (42020031211), we get a palindrome (53233033235).

The spelling of 11213002024 in words is "eleven billion, two hundred thirteen million, two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 197 343 392 394 686 788 1372 1379 1576 2744 2758 5516 9653 11032 19306 20743 38612 41486 67571 77224 82972 135142 145201 165944 270284 290402 540568 580804 1016407 1161608 2032814 4065628 4086371 7114849 8131256 8172742 14229698 16345484 28459396 28604597 32690968 56918792 57209194 114418388 200232179 228836776 400464358 800928716 1401625253 1601857432 2803250506 5606501012 11213002024