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213202302144 = 2631385417589
BaseRepresentation
bin1100011010001111011…
…0001111010011000000
3202101022102202010022220
43012203312033103000
511443114242132034
6241535505131040
721255231444546
oct3064366172300
9671272663286
10213202302144
1182467161207
12353a1029a80
13171495a2c90
14a46766bd96
15582c537749
hex31a3d8f4c0

213202302144 has 56 divisors (see below), whose sum is σ = 607489900080. Its totient is φ = 65600707584.

The previous prime is 213202302041. The next prime is 213202302149. The reversal of 213202302144 is 441203202312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213202302149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42706299 + ... + 42711290.

It is an arithmetic number, because the mean of its divisors is an integer number (10848033930).

Almost surely, 2213202302144 is an apocalyptic number.

213202302144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213202302144 is an abundant number, since it is smaller than the sum of its proper divisors (394287597936).

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

213202302144 is a wasteful number, since it uses less digits than its factorization.

213202302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85417617 (or 85417607 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213202302144 its reverse (441203202312), we get a palindrome (654405504456).

The spelling of 213202302144 in words is "two hundred thirteen billion, two hundred two million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 85417589 170835178 256252767 341670356 512505534 683340712 1025011068 1110428657 1366681424 2050022136 2220857314 2733362848 3331285971 4100044272 4441714628 5466725696 6662571942 8200088544 8883429256 13325143884 16400177088 17766858512 26650287768 35533717024 53300575536 71067434048 106601151072 213202302144