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121413332304 = 24321176649831
BaseRepresentation
bin111000100010011001…
…1000110110101010000
3102121101111121022221100
41301010303012311100
53442123303113204
6131435421024400
711525510203515
oct1610463066520
9377344538840
10121413332304
114754472a650
121b6450b5100
13b5abc53384
145c3ad2930c
1532590d0a39
hex1c44cc6d50

121413332304 has 60 divisors (see below), whose sum is σ = 370678587552. Its totient is φ = 36791918400.

The previous prime is 121413332233. The next prime is 121413332321. The reversal of 121413332304 is 403233314121.

It is a happy number.

121413332304 is a `hidden beast` number, since 1 + 2 + 14 + 13 + 332 + 304 = 666.

It is a super-3 number, since 3×1214133323043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38323332 + ... + 38326499.

Almost surely, 2121413332304 is an apocalyptic number.

It is an amenable number.

121413332304 is an abundant number, since it is smaller than the sum of its proper divisors (249265255248).

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

121413332304 is a wasteful number, since it uses less digits than its factorization.

121413332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76649856 (or 76649847 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 121413332304 its reverse (403233314121), we get a palindrome (524646646425).

The spelling of 121413332304 in words is "one hundred twenty-one billion, four hundred thirteen million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 76649831 153299662 229949493 306599324 459898986 613198648 689848479 843148141 919797972 1226397296 1379696958 1686296282 1839595944 2529444423 2759393916 3372592564 3679191888 5058888846 5518787832 6745185128 7588333269 10117777692 11037575664 13490370256 15176666538 20235555384 30353333076 40471110768 60706666152 121413332304