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11212121430 = 2325433378597
BaseRepresentation
bin10100111000100101…
…10110010101010110
31001221101120210010200
422130102312111112
5140430300341210
65052322401330
7544563313446
oct123422662526
931841523120
1011212121430
114833a4a864
12220ab00246
131098b66ca3
1478512a126
154594e00c0
hex29c4b6556

11212121430 has 96 divisors (see below), whose sum is σ = 29921452704. Its totient is φ = 2911362048.

The previous prime is 11212121399. The next prime is 11212121461. The reversal of 11212121430 is 3412121211.

11212121430 is a `hidden beast` number, since 1 + 1 + 21 + 212 + 1 + 430 = 666.

11212121430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11212121399) and next prime (11212121461).

It is a super-2 number, since 2×112121214302 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 1299892 + ... + 1308488.

It is an arithmetic number, because the mean of its divisors is an integer number (311681799).

Almost surely, 211212121430 is an apocalyptic number.

11212121430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212121430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960726352).

11212121430 is an abundant number, since it is smaller than the sum of its proper divisors (18709331274).

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

11212121430 is a wasteful number, since it uses less digits than its factorization.

11212121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11212121430 its reverse (3412121211), we get a palindrome (14624242641).

The spelling of 11212121430 in words is "eleven billion, two hundred twelve million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 337 387 430 645 674 774 1011 1290 1685 1935 2022 3033 3370 3870 5055 6066 8597 10110 14491 15165 17194 25791 28982 30330 42985 43473 51582 72455 77373 85970 86946 128955 130419 144910 154746 217365 257910 260838 369671 386865 434730 652095 739342 773730 1109013 1304190 1848355 2218026 2897189 3327039 3696710 5545065 5794378 6654078 8691567 11090130 14485945 16635195 17383134 26074701 28971890 33270390 43457835 52149402 86915670 124579127 130373505 249158254 260747010 373737381 622895635 747474762 1121212143 1245791270 1868686905 2242424286 3737373810 5606060715 11212121430