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119113300521216 = 283419239892
BaseRepresentation
bin11011000101010100111001…
…111101110011000100000000
3120121202010020201021102210000
4123011110321331303010000
5111103023014413134331
61101155521141440000
734042436425031331
oct3305247175630400
9517663221242700
10119113300521216
1134a53737959911
1211438b57410000
13516044a393681
14215b1862c0288
15db8624b3e0e6
hex6c5539f73100

119113300521216 has 405 divisors, whose sum is σ = 374945551570821. Its totient is φ = 37605296867328.

The previous prime is 119113300521151. The next prime is 119113300521227. The reversal of 119113300521216 is 612125003311911.

The square root of 119113300521216 is 10913904.

It is a perfect power (a square), and thus also a powerful number.

119113300521216 is a `hidden beast` number, since 1 + 1 + 9 + 113 + 3 + 0 + 0 + 521 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56158597161216 + 62954703360000 = 7493904^2 + 7934400^2 .

It is a super-2 number, since 2×1191133005212162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29860439350 + ... + 29860443338.

Almost surely, 2119113300521216 is an apocalyptic number.

119113300521216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

119113300521216 is the 10913904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119113300521216

119113300521216 is an abundant number, since it is smaller than the sum of its proper divisors (255832251049605).

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

119113300521216 is an frugal number, since it uses more digits than its factorization.

119113300521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

119113300521216 divided by its sum of digits (36) gives a square (3308702792256 = 18189842).

The spelling of 119113300521216 in words is "one hundred nineteen trillion, one hundred thirteen billion, three hundred million, five hundred twenty-one thousand, two hundred sixteen".