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121352505354 = 232193710194951
BaseRepresentation
bin111000100000100101…
…1000100100000001010
3102121020021011000001100
41301001023010200022
53442012220132404
6131425405202230
711524141163463
oct1610113044012
9377207130040
10121352505354
1147513364443
121b628860376
13b59c476bb2
145c32c13d6a
153253ab7d39
hex1c412c480a

121352505354 has 96 divisors (see below), whose sum is σ = 287066482560. Its totient is φ = 36916560000.

The previous prime is 121352505331. The next prime is 121352505361. The reversal of 121352505354 is 453505253121.

121352505354 is a `hidden beast` number, since 1 + 21 + 3 + 52 + 50 + 535 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230579 + ... + 1325529.

It is an arithmetic number, because the mean of its divisors is an integer number (2990275860).

Almost surely, 2121352505354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121352505354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143533241280).

121352505354 is an abundant number, since it is smaller than the sum of its proper divisors (165713977206).

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

121352505354 is a wasteful number, since it uses less digits than its factorization.

121352505354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95116 (or 95113 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 121352505354 its reverse (453505253121), we get a palindrome (574857758475).

The spelling of 121352505354 in words is "one hundred twenty-one billion, three hundred fifty-two million, five hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 101 111 114 171 202 222 303 333 342 606 666 703 909 1406 1818 1919 2109 3737 3838 4218 5757 6327 7474 11211 11514 12654 17271 22422 33633 34542 67266 71003 94951 142006 189902 213009 284853 426018 569706 639027 854559 1278054 1709118 1804069 3513187 3608138 5412207 7026374 9590051 10539561 10824414 16236621 19180102 21079122 28770153 31618683 32473242 57540306 63237366 66750553 86310459 133501106 172620918 182210969 200251659 354831887 364421938 400503318 546632907 600754977 709663774 1064495661 1093265814 1201509954 1639898721 2128991322 3193486983 3279797442 6386973966 6741805853 13483611706 20225417559 40450835118 60676252677 121352505354