Search a number
-
+
111202323030 = 23252337239241
BaseRepresentation
bin110011110010000101…
…1001100101001010110
3101122000212210022111200
41213210023030221112
53310220243314110
6123030255413330
711014461102261
oct1474413145126
9348025708450
10111202323030
11431848a3207
1219675524246
13a642625856
14554cb59cd8
152d5c9416c0
hex19e42cca56

111202323030 has 144 divisors (see below), whose sum is σ = 310078982304. Its totient is φ = 27597335040.

The previous prime is 111202323013. The next prime is 111202323047. The reversal of 111202323030 is 30323202111.

111202323030 is a `hidden beast` number, since 11 + 120 + 232 + 303 + 0 = 666.

111202323030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111202323013) and next prime (111202323047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111202322994 and 111202323012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2814210 + ... + 2853450.

It is an arithmetic number, because the mean of its divisors is an integer number (2153326266).

Almost surely, 2111202323030 is an apocalyptic number.

111202323030 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 111202323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155039491152).

111202323030 is an abundant number, since it is smaller than the sum of its proper divisors (198876659274).

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

111202323030 is a wasteful number, since it uses less digits than its factorization.

111202323030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39351 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 111202323030 its reverse (30323202111), we get a palindrome (141525525141).

The spelling of 111202323030 in words is "one hundred eleven billion, two hundred two million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1369 1665 1702 2070 2553 2738 3330 4107 4255 5106 6845 7659 8214 8510 12321 12765 13690 15318 20535 24642 25530 31487 38295 39241 41070 61605 62974 76590 78482 94461 117723 123210 157435 188922 196205 235446 283383 314870 353169 392410 472305 566766 588615 706338 902543 944610 1177230 1416915 1451917 1765845 1805086 2707629 2833830 2903834 3531690 4355751 4512715 5415258 7259585 8122887 8711502 9025430 13067253 13538145 14519170 16245774 21778755 26134506 27076290 33394091 40614435 43557510 53720929 65336265 66788182 81228870 100182273 107441858 130672530 161162787 166970455 200364546 268604645 300546819 322325574 333940910 483488361 500911365 537209290 601093638 805813935 966976722 1001822730 1235581367 1502734095 1611627870 2417441805 2471162734 3005468190 3706744101 4834883610 6177906835 7413488202 11120232303 12355813670 18533720505 22240464606 37067441010 55601161515 111202323030