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11234413120 = 265710134951
BaseRepresentation
bin10100111011001111…
…11000101001000000
31001222221112022120211
422131213320221000
5141002002204440
65054440243504
7545253636010
oct123547705100
931887468524
1011234413120
114845595947
122216470594
1310a0670538
1478808dc40
1545b444eea
hex29d9f8a40

11234413120 has 112 divisors (see below), whose sum is σ = 30610015488. Its totient is φ = 3847219200.

The previous prime is 11234413109. The next prime is 11234413139. The reversal of 11234413120 is 2131443211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11234413091 and 11234413100.

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, 2266645 + ... + 2271595.

Almost surely, 211234413120 is an apocalyptic number.

11234413120 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 11234413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305007744).

11234413120 is an abundant number, since it is smaller than the sum of its proper divisors (19375602368).

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

11234413120 is a wasteful number, since it uses less digits than its factorization.

11234413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11234413120 its reverse (2131443211), we get a palindrome (13365856331).

The spelling of 11234413120 in words is "eleven billion, two hundred thirty-four million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1013 1120 2026 2240 4052 4951 5065 7091 8104 9902 10130 14182 16208 19804 20260 24755 28364 32416 34657 35455 39608 40520 49510 56728 64832 69314 70910 79216 81040 99020 113456 138628 141820 158432 162080 173285 198040 226912 277256 283640 316864 324160 346570 396080 453824 554512 567280 693140 792160 1109024 1134560 1386280 1584320 2218048 2269120 2772560 5015363 5545120 10030726 11090240 20061452 25076815 35107541 40122904 50153630 70215082 80245808 100307260 140430164 160491616 175537705 200614520 280860328 320983232 351075410 401229040 561720656 702150820 802458080 1123441312 1404301640 1604916160 2246882624 2808603280 5617206560 11234413120