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121415032530 = 232511192339727
BaseRepresentation
bin111000100010011100…
…1100101111011010010
3102121101121210201012200
41301010321211323102
53442124222020110
6131435521304030
711525530514451
oct1610471457322
9377347721180
10121415032530
1147545690aa0
121b645795016
13b5ac3ca21c
145c3b24cb98
1532593196c0
hex1c44e65ed2

121415032530 has 144 divisors (see below), whose sum is σ = 363457321344. Its totient is φ = 27884710080.

The previous prime is 121415032523. The next prime is 121415032559. The reversal of 121415032530 is 35230514121.

121415032530 is a `hidden beast` number, since 12 + 1 + 41 + 50 + 32 + 530 = 666.

It is a super-2 number, since 2×1214150325302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121415032494 and 121415032503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187527 + ... + 527253.

It is an arithmetic number, because the mean of its divisors is an integer number (2524009176).

Almost surely, 2121415032530 is an apocalyptic number.

121415032530 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 121415032530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181728660672).

121415032530 is an abundant number, since it is smaller than the sum of its proper divisors (242042288814).

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

121415032530 is a wasteful number, since it uses less digits than its factorization.

121415032530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339789 (or 339767 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 121415032530 its reverse (35230514121), we get a palindrome (156645546651).

The spelling of 121415032530 in words is "one hundred twenty-one billion, four hundred fifteen million, thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 361 418 495 570 627 722 855 990 1045 1083 1254 1710 1805 1881 2090 2166 3135 3249 3610 3762 3971 5415 6270 6498 7942 9405 10830 11913 16245 18810 19855 23826 32490 35739 39710 59565 71478 119130 178695 339727 357390 679454 1019181 1698635 2038362 3057543 3397270 3736997 5095905 6115086 6454813 7473994 10191810 11210991 12909626 15287715 18684985 19364439 22421982 30575430 32274065 33632973 37369970 38728878 56054955 58093317 64548130 67265946 71002943 96822195 112109910 116186634 122641447 142005886 168164865 193644390 213008829 245282894 290466585 336329730 355014715 367924341 426017658 580933170 613207235 639026487 710029430 735848682 1065044145 1103773023 1226414470 1278052974 1349055917 1839621705 2130088290 2207546046 2698111834 3195132435 3679243410 4047167751 5518865115 6390264870 6745279585 8094335502 11037730230 12141503253 13490559170 20235838755 24283006506 40471677510 60707516265 121415032530