Search a number
-
+
11212122030 = 2351721578237
BaseRepresentation
bin10100111000100101…
…10110011110101110
31001221101120210221220
422130102312132232
5140430300401110
65052322404210
7544563315264
oct123422663656
931841523856
1011212122030
114833a5025a
12220ab00666
131098b67345
1478512a434
154594e0370
hex29c4b67ae

11212122030 has 96 divisors (see below), whose sum is σ = 28770654816. Its totient is φ = 2795759616.

The previous prime is 11212122023. The next prime is 11212122079. The reversal of 11212122030 is 3022121211.

It is a super-2 number, since 2×112121220302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357072 + ... + 1365308.

It is an arithmetic number, because the mean of its divisors is an integer number (299694321).

Almost surely, 211212122030 is an apocalyptic number.

11212122030 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 11212122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385327408).

11212122030 is an abundant number, since it is smaller than the sum of its proper divisors (17558532786).

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

11212122030 is a wasteful number, since it uses less digits than its factorization.

11212122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11212122030 its reverse (3022121211), we get a palindrome (14234243241).

The spelling of 11212122030 in words is "eleven billion, two hundred twelve million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 289 314 471 510 578 785 867 942 1445 1570 1734 2355 2669 2890 4335 4710 5338 8007 8237 8670 13345 16014 16474 24711 26690 40035 41185 45373 49422 80070 82370 90746 123555 136119 140029 226865 247110 272238 280058 420087 453730 680595 700145 840174 1293209 1361190 1400290 2100435 2380493 2586418 3879627 4200870 4760986 6466045 7141479 7759254 11902465 12932090 14282958 19398135 21984553 23804930 35707395 38796270 43969106 65953659 71414790 109922765 131907318 219845530 329768295 373737401 659536590 747474802 1121212203 1868687005 2242424406 3737374010 5606061015 11212122030