Search a number
-
+
12303232111230 = 23519374871197881
BaseRepresentation
bin1011001100001001000111…
…0001111001001001111110
31121120011210101210101121220
42303002101301321021332
53103034004410024410
642100005442334210
72406610363305564
oct263022161711176
947504711711556
1012303232111230
113a13853867105
12146854765a366
136b3261020c38
143076a00a7a34
1516507e222070
hexb3091c7927e

12303232111230 has 128 divisors (see below), whose sum is σ = 31987474283520. Its totient is φ = 3017967621120.

The previous prime is 12303232111153. The next prime is 12303232111253. The reversal of 12303232111230 is 3211123230321.

12303232111230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123032321112302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12303232111230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9671890 + ... + 10869770.

It is an arithmetic number, because the mean of its divisors is an integer number (249902142840).

Almost surely, 212303232111230 is an apocalyptic number.

12303232111230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303232111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993737141760).

12303232111230 is an abundant number, since it is smaller than the sum of its proper divisors (19684242172290).

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

12303232111230 is a wasteful number, since it uses less digits than its factorization.

12303232111230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198434.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12303232111230 its reverse (3211123230321), we get a palindrome (15514355341551).

The spelling of 12303232111230 in words is "twelve trillion, three hundred three billion, two hundred thirty-two million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 487 555 570 703 974 1110 1406 1461 2109 2435 2922 3515 4218 4870 7030 7305 9253 10545 14610 18019 18506 21090 27759 36038 46265 54057 55518 90095 92530 108114 138795 180190 270285 277590 342361 540570 684722 1027083 1197881 1711805 2054166 2395762 3423610 3593643 5135415 5989405 7187286 10270830 11978810 17968215 22759739 35936430 44321597 45519478 68279217 88643194 113798695 132964791 136558434 221607985 227597390 265929582 341396085 443215970 583368047 664823955 682792170 842110343 1166736094 1329647910 1684220686 1750104141 2526331029 2916840235 3500208282 4210551715 5052662058 5833680470 8421103430 8750520705 11083992893 12631655145 17501041410 21584617739 22167985786 25263310290 33251978679 43169235478 55419964465 64753853217 66503957358 107923088695 110839928930 129507706434 166259893395 215846177390 323769266085 332519786790 410107737041 647538532170 820215474082 1230323211123 2050538685205 2460646422246 4101077370410 6151616055615 12303232111230