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11430354224 = 2431101401569
BaseRepresentation
bin10101010010100110…
…10101110100110000
31002111121020011020202
422221103111310300
5141402132313344
65130120054332
7553153256612
oct125123256460
932447204222
1011430354224
114936156343
1222700043a8
131102136213
147a60d6db2
1546d74b94e
hex2a94d5d30

11430354224 has 80 divisors (see below), whose sum is σ = 23185301760. Its totient is φ = 5452800000.

The previous prime is 11430354223. The next prime is 11430354227. The reversal of 11430354224 is 42245303411.

It is a super-2 number, since 2×114303542242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11430354223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20088212 + ... + 20088780.

It is an arithmetic number, because the mean of its divisors is an integer number (289816272).

Almost surely, 211430354224 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 11430354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592650880).

11430354224 is an abundant number, since it is smaller than the sum of its proper divisors (11754947536).

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

11430354224 is a wasteful number, since it uses less digits than its factorization.

11430354224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 11430354224 its reverse (42245303411), we get a palindrome (53675657635).

The spelling of 11430354224 in words is "eleven billion, four hundred thirty million, three hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 101 124 202 248 401 404 496 569 802 808 1138 1604 1616 2276 3131 3208 4552 6262 6416 9104 12431 12524 17639 24862 25048 35278 40501 49724 50096 57469 70556 81002 99448 114938 141112 162004 198896 228169 229876 282224 324008 456338 459752 648016 912676 919504 1255531 1781539 1825352 2511062 3563078 3650704 5022124 7073239 7126156 10044248 14146478 14252312 20088496 23045069 28292956 28504624 46090138 56585912 92180276 113171824 184360552 368721104 714397139 1428794278 2857588556 5715177112 11430354224