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213331120 = 2454756737
BaseRepresentation
bin11001011011100…
…10110010110000
3112212102100021121
430231302302300
5414103043440
633100232024
75200166422
oct1455626260
9485370247
10213331120
11aa468912
125b53b614
1335274142
1420492812
1513ade34a
hexcb72cb0

213331120 has 40 divisors (see below), whose sum is σ = 506556864. Its totient is φ = 83515392.

The previous prime is 213331109. The next prime is 213331169. The reversal of 213331120 is 21133312.

213331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213331094 and 213331103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24609 + ... + 32128.

Almost surely, 2213331120 is an apocalyptic number.

213331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331120 is an abundant number, since it is smaller than the sum of its proper divisors (293225744).

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

213331120 is a wasteful number, since it uses less digits than its factorization.

213331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56797 (or 56791 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213331120 is about 14605.8590983208. The cubic root of 213331120 is about 597.5185664416.

Adding to 213331120 its reverse (21133312), we get a palindrome (234464432).

The spelling of 213331120 in words is "two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 56737 113474 226948 283685 453896 567370 907792 1134740 2269480 2666639 4538960 5333278 10666556 13333195 21333112 26666390 42666224 53332780 106665560 213331120