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221400201231329 = 7111532914792789
BaseRepresentation
bin110010010101110011000000…
…010110001111101111100001
31002000220122121200201222012012
4302111303000112033233201
5213004410103003400304
62102513503123242305
764430431244412641
oct6225630026175741
91060818550658165
10221400201231329
11645aa33078175a
12209b8a13519395
13966cc45a75373
143c95b810b0521
151a8e1d9a8416e
hexc95cc058fbe1

221400201231329 has 16 divisors (see below), whose sum is σ = 224723370936960. Its totient is φ = 218082739230720.

The previous prime is 221400201231301. The next prime is 221400201231347. The reversal of 221400201231329 is 923132102004122.

221400201231329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221400201231329 is a prime.

It is a super-2 number, since 2×2214002012313292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221400201231295 and 221400201231304.

It is not an unprimeable number, because it can be changed into a prime (221400201231389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386014467 + ... + 2386107255.

It is an arithmetic number, because the mean of its divisors is an integer number (14045210683560).

Almost surely, 2221400201231329 is an apocalyptic number.

It is an amenable number.

221400201231329 is a deficient number, since it is larger than the sum of its proper divisors (3323169705631).

221400201231329 is a wasteful number, since it uses less digits than its factorization.

221400201231329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123160.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 221400201231329 in words is "two hundred twenty-one trillion, four hundred billion, two hundred one million, two hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 71 1153 29147 81863 92789 2069437 6588019 33606491 106985717 2386060861 2704520983 7595985907 192020989793 3118312693399 221400201231329