Search a number
-
+
11121212010 = 23573101137367
BaseRepresentation
bin10100101101110000…
…00011101001101010
31001201001112002212010
422112320003221222
5140234012241020
65035314100350
7542410512426
oct122670035152
931631462763
1011121212010
1147976a8207
1221a457a6b6
13108308712c
14777023b86
15451533de0
hex296e03a6a

11121212010 has 128 divisors (see below), whose sum is σ = 27598869504. Its totient is φ = 2867097600.

The previous prime is 11121211987. The next prime is 11121212153. The reversal of 11121212010 is 1021212111.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30302847 + ... + 30303213.

It is an arithmetic number, because the mean of its divisors is an integer number (215616168).

Almost surely, 211121212010 is an apocalyptic number.

11121212010 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 11121212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799434752).

11121212010 is an abundant number, since it is smaller than the sum of its proper divisors (16477657494).

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

11121212010 is a wasteful number, since it uses less digits than its factorization.

11121212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121212010 its reverse (1021212111), we get a palindrome (12142424121).

The spelling of 11121212010 in words is "eleven billion, one hundred twenty-one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 101 137 146 202 219 274 303 365 367 411 438 505 606 685 730 734 822 1010 1095 1101 1370 1515 1835 2055 2190 2202 3030 3670 4110 5505 7373 10001 11010 13837 14746 20002 22119 26791 27674 30003 36865 37067 41511 44238 50005 50279 53582 60006 69185 73730 74134 80373 83022 100010 100558 110595 111201 133955 138370 150015 150837 160746 185335 207555 221190 222402 251395 267910 300030 301674 370670 401865 415110 502790 556005 754185 803730 1010101 1112010 1508370 2020202 2705891 3030303 3670367 5050505 5078179 5411782 6060606 7340734 8117673 10101010 10156358 11011101 13529455 15151515 15234537 16235346 18351835 22022202 25390895 27058910 30303030 30469074 36703670 40588365 50781790 55055505 76172685 81176730 110111010 152345370 370707067 741414134 1112121201 1853535335 2224242402 3707070670 5560606005 11121212010