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213151320 = 23325592087
BaseRepresentation
bin11001011010001…
…10111001011000
3112212002012122100
430231012321120
5414031320240
633052323400
75165520264
oct1455067130
9485065570
10213151320
11aa355818
125b473560
1335210355
14204470a4
1513aa5e30
hexcb46e58

213151320 has 48 divisors (see below), whose sum is σ = 692742960. Its totient is φ = 56840256.

The previous prime is 213151303. The next prime is 213151331. The reversal of 213151320 is 23151312.

213151320 is a `hidden beast` number, since 2 + 131 + 513 + 20 = 666.

213151320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213151293 and 213151302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295684 + ... + 296403.

It is an arithmetic number, because the mean of its divisors is an integer number (14432145).

Almost surely, 2213151320 is an apocalyptic number.

213151320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213151320 is an abundant number, since it is smaller than the sum of its proper divisors (479591640).

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

213151320 is a wasteful number, since it uses less digits than its factorization.

213151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592104 (or 592097 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213151320 is about 14599.7027366998. The cubic root of 213151320 is about 597.3506521450.

The spelling of 213151320 in words is "two hundred thirteen million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 592087 1184174 1776261 2368348 2960435 3552522 4736696 5328783 5920870 7105044 8881305 10657566 11841740 14210088 17762610 21315132 23683480 26643915 35525220 42630264 53287830 71050440 106575660 213151320