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11122424010 = 23351012111933
BaseRepresentation
bin10100101101111001…
…01011100011001010
31001201010210200102000
422112330223203022
5140234320032020
65035400051430
7542424021105
oct122674534312
931633720360
1011122424010
114798355865
1221a4a63b76
1310833bc9a9
1477725b73c
154516c3090
hex296f2b8ca

11122424010 has 128 divisors (see below), whose sum is σ = 30110987520. Its totient is φ = 2921184000.

The previous prime is 11122423979. The next prime is 11122424023. The reversal of 11122424010 is 1042422111.

11122424010 is a `hidden beast` number, since 11 + 12 + 242 + 401 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5753004 + ... + 5754936.

It is an arithmetic number, because the mean of its divisors is an integer number (235242090).

Almost surely, 211122424010 is an apocalyptic number.

11122424010 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 11122424010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055493760).

11122424010 is an abundant number, since it is smaller than the sum of its proper divisors (18988563510).

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

11122424010 is a wasteful number, since it uses less digits than its factorization.

11122424010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122424010 its reverse (1042422111), we get a palindrome (12164846121).

The spelling of 11122424010 in words is "eleven billion, one hundred twenty-two million, four hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 211 270 303 422 505 606 633 909 1010 1055 1266 1515 1818 1899 1933 2110 2727 3030 3165 3798 3866 4545 5454 5697 5799 6330 9090 9495 9665 11394 11598 13635 17397 18990 19330 21311 27270 28485 28995 34794 42622 52191 56970 57990 63933 86985 104382 106555 127866 173970 191799 195233 213110 260955 319665 383598 390466 407863 521910 575397 585699 639330 815726 958995 976165 1150794 1171398 1223589 1757097 1917990 1952330 2039315 2447178 2876985 2928495 3514194 3670767 4078630 5271291 5753970 5856990 6117945 7341534 8785485 10542582 11012301 12235890 17570970 18353835 22024602 26356455 36707670 41194163 52712910 55061505 82388326 110123010 123582489 205970815 247164978 370747467 411941630 617912445 741494934 1112242401 1235824890 1853737335 2224484802 3707474670 5561212005 11122424010