Search a number
-
+
1121211222210 = 2325101289742577
BaseRepresentation
bin10000010100001101011…
…001011000100011000010
310222012001010201111111100
4100110031121120203002
5121332220033102320
62215024411355230
7144001442066352
oct20241531304302
93865033644440
101121211222210
113a2559561202
1216136b452b16
13819643a6331
143c3a45a0b62
151e272c22790
hex1050d6588c2

1121211222210 has 96 divisors (see below), whose sum is σ = 2945097438192. Its totient is φ = 295920230400.

The previous prime is 1121211222199. The next prime is 1121211222227. The reversal of 1121211222210 is 122221121211.

1121211222210 is a `hidden beast` number, since 1 + 1 + 21 + 211 + 222 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 822364226649 + 298846995561 = 906843^2 + 546669^2 .

It is a super-2 number, since 2×11212112222102 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26312442 + ... + 26355018.

Almost surely, 21121211222210 is an apocalyptic number.

1121211222210 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 1121211222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472548719096).

1121211222210 is an abundant number, since it is smaller than the sum of its proper divisors (1823886215982).

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

1121211222210 is a wasteful number, since it uses less digits than its factorization.

1121211222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45588 (or 45585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121211222210 its reverse (122221121211), we get a palindrome (1243432343421).

It can be divided in two parts, 112121 and 1222210, that added together give a palindrome (1334331).

The spelling of 1121211222210 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 2897 3030 4545 5794 8691 9090 14485 17382 26073 28970 42577 43455 52146 85154 86910 127731 130365 212885 255462 260730 292597 383193 425770 585194 638655 766386 877791 1277310 1462985 1755582 1915965 2633373 2925970 3831930 4300277 4388955 5266746 8600554 8777910 12900831 13166865 21501385 25801662 26333730 38702493 43002770 64504155 77404986 123345569 129008310 193512465 246691138 370036707 387024930 616727845 740073414 1110110121 1233455690 1850183535 2220220242 3700367070 5550550605 11101101210 12457902469 24915804938 37373707407 62289512345 74747414814 112121122221 124579024690 186868537035 224242244442 373737074070 560605611105 1121211222210