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213129984 = 283277513
BaseRepresentation
bin11001011010000…
…01101100000000
3112212001010101010
430231001230000
5414030124414
633052040520
75165401134
oct1455015400
9485033333
10213129984
11aa340791
125b463140
1335203722
142043d3c4
1513a9e959
hexcb41b00

213129984 has 36 divisors (see below), whose sum is σ = 567238616. Its totient is φ = 71043072.

The previous prime is 213129979. The next prime is 213130031. The reversal of 213129984 is 489921312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137989 + ... + 139524.

Almost surely, 2213129984 is an apocalyptic number.

213129984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213129984 is an abundant number, since it is smaller than the sum of its proper divisors (354108632).

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

213129984 is an equidigital number, since it uses as much as digits as its factorization.

213129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277532 (or 277518 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 213129984 is about 14598.9720186046. The cubic root of 213129984 is about 597.3307202975.

The spelling of 213129984 in words is "two hundred thirteen million, one hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 277513 555026 832539 1110052 1665078 2220104 3330156 4440208 6660312 8880416 13320624 17760832 26641248 35521664 53282496 71043328 106564992 213129984