Search a number
-
+
23121032200 = 2352726533613
BaseRepresentation
bin10101100010000111…
…101111010000001000
32012200100022010112221
4111202013233100020
5334322441012300
614342135543424
71445650350100
oct254207572010
965610263487
1023121032200
119895246782
12459322ab74
132246187b56
1411949d6200
15904c6b31a
hex5621ef408

23121032200 has 144 divisors (see below), whose sum is σ = 62646051780. Its totient is φ = 7912880640.

The previous prime is 23121032183. The next prime is 23121032203. The reversal of 23121032200 is 223012132.

It can be written as a sum of positive squares in 6 ways, for example, as 339959844 + 22781072356 = 18438^2 + 150934^2 .

It is not an unprimeable number, because it can be changed into a prime (23121032203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6397594 + ... + 6401206.

Almost surely, 223121032200 is an apocalyptic number.

23121032200 is a gapful number since it is divisible by the number (20) 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 23121032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31323025890).

23121032200 is an abundant number, since it is smaller than the sum of its proper divisors (39525019580).

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

23121032200 is a wasteful number, since it uses less digits than its factorization.

23121032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23121032200 its reverse (223012132), we get a palindrome (23344044332).

The spelling of 23121032200 in words is "twenty-three billion, one hundred twenty-one million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 653 700 980 1225 1306 1400 1960 2450 2612 3265 3613 4571 4900 5224 6530 7226 9142 9800 13060 14452 16325 18065 18284 22855 25291 26120 28904 31997 32650 36130 36568 45710 50582 63994 65300 72260 90325 91420 101164 114275 126455 127988 130600 144520 159985 177037 180650 182840 202328 228550 252910 255976 319970 354074 361300 457100 505820 632275 639940 708148 722600 799925 885185 914200 1011640 1264550 1279880 1416296 1599850 1770370 2359289 2529100 3199700 3540740 4425925 4718578 5058200 6399400 7081480 8851850 9437156 11796445 16515023 17703700 18874312 23592890 33030046 35407400 47185780 58982225 66060092 82575115 94371560 115605161 117964450 132120184 165150230 231210322 235928900 330300460 412875575 462420644 471857800 578025805 660600920 825751150 924841288 1156051610 1651502300 2312103220 2890129025 3303004600 4624206440 5780258050 11560516100 23121032200