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121413415032 = 233271318530741
BaseRepresentation
bin111000100010011001…
…1011011000001111000
3102121101111202112102100
41301010303123001320
53442123313240112
6131435422503400
711525510666640
oct1610463330170
9377344675370
10121413415032
1147544786818
121b645134b60
13b5abc81c20
145c3ad4b520
1532590ea2dc
hex1c44cdb078

121413415032 has 96 divisors (see below), whose sum is σ = 404711405280. Its totient is φ = 32021118720.

The previous prime is 121413415031. The next prime is 121413415069. The reversal of 121413415032 is 230514314121.

121413415032 is a `hidden beast` number, since 1 + 21 + 4 + 134 + 1 + 503 + 2 = 666.

It is a super-2 number, since 2×1214134150322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121413414987 and 121413415005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121413415031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9258819 + ... + 9271922.

It is an arithmetic number, because the mean of its divisors is an integer number (4215743805).

Almost surely, 2121413415032 is an apocalyptic number.

121413415032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121413415032 is an abundant number, since it is smaller than the sum of its proper divisors (283297990248).

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

121413415032 is a wasteful number, since it uses less digits than its factorization.

121413415032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530773 (or 18530766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 121413415032 its reverse (230514314121), we get a palindrome (351927729153).

The spelling of 121413415032 in words is "one hundred twenty-one billion, four hundred thirteen million, four hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 18530741 37061482 55592223 74122964 111184446 129715187 148245928 166776669 222368892 240899633 259430374 333553338 389145561 444737784 481799266 518860748 667106676 722698899 778291122 963598532 1037721496 1167436683 1334213352 1445397798 1556582244 1686297431 1927197064 2168096697 2334873366 2890795596 3113164488 3372594862 4336193394 4669746732 5058892293 5781591192 6745189724 8672386788 9339493464 10117784586 13490379448 15176676879 17344773576 20235569172 30353353758 40471138344 60706707516 121413415032