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213121296 = 24329531553
BaseRepresentation
bin11001011001111…
…11100100010000
3112212000200110100
430230333210100
5414024340141
633051532400
75165333613
oct1454774420
9485020410
10213121296
11aa335203
125b45a100
13351cc79b
142043a17a
1513a9c0b6
hexcb3f910

213121296 has 60 divisors (see below), whose sum is σ = 597453948. Its totient is φ = 70920192.

The previous prime is 213121283. The next prime is 213121303. The reversal of 213121296 is 692121312.

213121296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 161798400 = 7164^2 + 12720^2 .

It is a nude number because it is divisible by every one of its digits.

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, 136456 + ... + 138008.

Almost surely, 2213121296 is an apocalyptic number.

It is an amenable number.

213121296 is an abundant number, since it is smaller than the sum of its proper divisors (384332652).

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

213121296 is a wasteful number, since it uses less digits than its factorization.

213121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 213121296 is about 14598.6744603748. The cubic root of 213121296 is about 597.3226036861.

The spelling of 213121296 in words is "two hundred thirteen million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 953 1553 1906 2859 3106 3812 4659 5718 6212 7624 8577 9318 11436 12424 13977 15248 17154 18636 22872 24848 27954 34308 37272 45744 55908 68616 74544 111816 137232 223632 1480009 2960018 4440027 5920036 8880054 11840072 13320081 17760108 23680144 26640162 35520216 53280324 71040432 106560648 213121296