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23210200112 = 24112953239359
BaseRepresentation
bin10101100111011011…
…111000110000110000
32012220120002022221012
4111213123320300300
5340013302400422
614355043050052
71451112305621
oct254733706060
965816068835
1023210200112
119930609970
1245b9070928
13225b7a8128
1411a27a7a48
1590c9d14e2
hex5676f8c30

23210200112 has 160 divisors (see below), whose sum is σ = 52068096000. Its totient is φ = 9924561920.

The previous prime is 23210200093. The next prime is 23210200129. The reversal of 23210200112 is 21100201232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64652189 + ... + 64652547.

It is an arithmetic number, because the mean of its divisors is an integer number (325425600).

Almost surely, 223210200112 is an apocalyptic number.

23210200112 is a gapful number since it is divisible by the number (22) 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 23210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26034048000).

23210200112 is an abundant number, since it is smaller than the sum of its proper divisors (28857895888).

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

23210200112 is a wasteful number, since it uses less digits than its factorization.

23210200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23210200112 its reverse (21100201232), we get a palindrome (44310401344).

It can be divided in two parts, 23210 and 200112, that added together give a palindrome (223322).

The spelling of 23210200112 in words is "twenty-three billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 53 58 88 106 116 176 212 232 239 319 359 424 464 478 583 638 718 848 956 1166 1276 1436 1537 1912 2332 2552 2629 2872 3074 3824 3949 4664 5104 5258 5744 6148 6931 7898 9328 10411 10516 12296 12667 13862 15796 16907 19027 20822 21032 24592 25334 27724 31592 33814 38054 41644 42064 50668 55448 63184 67628 76108 76241 83288 85801 101336 110896 114521 135256 139337 152216 152482 166576 171602 202672 209297 229042 270512 278674 304432 304964 343204 367343 418594 458084 551783 557348 609928 686408 734686 837188 916168 943811 1103566 1114696 1219856 1372816 1469372 1674376 1832336 1887622 2207132 2229392 2488229 2938744 3348752 3775244 4040773 4414264 4547453 4976458 5877488 6069613 7550488 8081546 8828528 9094906 9952916 12139226 15100976 16163092 18189812 19905832 24278452 27370519 32326184 36379624 39811664 48556904 50021983 54741038 64652368 72759248 97113808 100043966 109482076 131876137 200087932 218964152 263752274 400175864 437928304 527504548 800351728 1055009096 1450637507 2110018192 2901275014 5802550028 11605100056 23210200112