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11233021120 = 265311636947
BaseRepresentation
bin10100111011000101…
…00100110011000000
31001222211220121010021
422131202210303000
5141001123133440
65054350343224
7545236050466
oct123542446300
931884817107
1011233021120
114844825032
122215abab14
1310a02a3a79
14787c0a836
1545b26c84a
hex29d8a4cc0

11233021120 has 112 divisors (see below), whose sum is σ = 27784885248. Its totient is φ = 4320967680.

The previous prime is 11233021117. The next prime is 11233021127. The reversal of 11233021120 is 2112033211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11233021094 and 11233021103.

It is not an unprimeable number, because it can be changed into a prime (11233021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1613487 + ... + 1620433.

Almost surely, 211233021120 is an apocalyptic number.

11233021120 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 11233021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892442624).

11233021120 is an abundant number, since it is smaller than the sum of its proper divisors (16551864128).

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

11233021120 is a wasteful number, since it uses less digits than its factorization.

11233021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11233021120 its reverse (2112033211), we get a palindrome (13345054331).

The spelling of 11233021120 in words is "eleven billion, two hundred thirty-three million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 163 248 310 320 326 496 620 652 815 992 1240 1304 1630 1984 2480 2608 3260 4960 5053 5216 6520 6947 9920 10106 10432 13040 13894 20212 25265 26080 27788 34735 40424 50530 52160 55576 69470 80848 101060 111152 138940 161696 202120 215357 222304 277880 323392 404240 430714 444608 555760 808480 861428 1076785 1111520 1132361 1616960 1722856 2153570 2223040 2264722 3445712 4307140 4529444 5661805 6891424 8614280 9058888 11323610 13782848 17228560 18117776 22647220 34457120 35103191 36235552 45294440 68914240 70206382 72471104 90588880 140412764 175515955 181177760 280825528 351031910 362355520 561651056 702063820 1123302112 1404127640 2246604224 2808255280 5616510560 11233021120