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213231032032 = 25291109207191
BaseRepresentation
bin1100011010010110001…
…1110101011011100000
3202101101102210202022211
43012211203311123200
511443144121011112
6241542413011504
721256030603264
oct3064543653340
9671342722284
10213231032032
11824813a4417
12353aa783b94
1317152521b05
14a46b3ca0a4
15582ed100a7
hex31a58f56e0

213231032032 has 48 divisors (see below), whose sum is σ = 434668096800. Its totient is φ = 102845800960.

The previous prime is 213231032023. The next prime is 213231032041. The reversal of 213231032032 is 230230132312.

213231032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213231032023) and next prime (213231032041).

It is a super-3 number, since 3×2132310320323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213231031994 and 213231032012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925557 + ... + 1132747.

It is an arithmetic number, because the mean of its divisors is an integer number (9055585350).

Almost surely, 2213231032032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213231032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217334048400).

213231032032 is an abundant number, since it is smaller than the sum of its proper divisors (221437064768).

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

213231032032 is a wasteful number, since it uses less digits than its factorization.

213231032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208339 (or 208331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213231032032 its reverse (230230132312), we get a palindrome (443461164344).

The spelling of 213231032032 in words is "two hundred thirteen billion, two hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1109 2218 4436 8872 17744 32161 35488 64322 128644 207191 257288 414382 514576 828764 1029152 1657528 3315056 6008539 6630112 12017078 24034156 48068312 96136624 192273248 229774819 459549638 919099276 1838198552 3676397104 6663469751 7352794208 13326939502 26653879004 53307758008 106615516016 213231032032