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11122231000 = 235314717561
BaseRepresentation
bin10100101101110111…
…11100011011011000
31001201010102212122111
422112323330123120
5140234242343000
65035352002104
7542422255306
oct122673743330
931633385574
1011122231000
114798233851
1221a4990334
131083352b9a
1477720b276
15451685cba
hex296efc6d8

11122231000 has 64 divisors (see below), whose sum is σ = 26047157760. Its totient is φ = 4445280000.

The previous prime is 11122230979. The next prime is 11122231013. The reversal of 11122231000 is 13222111.

It is a super-2 number, since 2×111222310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467220 + ... + 1474780.

It is an arithmetic number, because the mean of its divisors is an integer number (406986840).

Almost surely, 211122231000 is an apocalyptic number.

11122231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023578880).

11122231000 is an abundant number, since it is smaller than the sum of its proper divisors (14924926760).

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

11122231000 is a wasteful number, since it uses less digits than its factorization.

11122231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11122231000 its reverse (13222111), we get a palindrome (11135453111).

The spelling of 11122231000 in words is "eleven billion, one hundred twenty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1471 2942 5884 7355 7561 11768 14710 15122 29420 30244 36775 37805 58840 60488 73550 75610 147100 151220 183875 189025 294200 302440 367750 378050 735500 756100 945125 1471000 1512200 1890250 3780500 7561000 11122231 22244462 44488924 55611155 88977848 111222310 222444620 278055775 444889240 556111550 1112223100 1390278875 2224446200 2780557750 5561115500 11122231000