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213115104 = 2533246661
BaseRepresentation
bin11001011001111…
…10000011100000
3112212000100222000
430230332003200
5414024140404
633051444000
75165306556
oct1454760340
9485010860
10213115104
11aa330594
125b456600
13351c9a17
1420437bd6
1513a9a339
hexcb3e0e0

213115104 has 48 divisors (see below), whose sum is σ = 621588240. Its totient is φ = 71038080.

The previous prime is 213115099. The next prime is 213115109. The reversal of 213115104 is 401511312.

It is an interprime number because it is at equal distance from previous prime (213115099) and next prime (213115109).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213115109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122467 + ... + 124194.

It is an arithmetic number, because the mean of its divisors is an integer number (12949755).

Almost surely, 2213115104 is an apocalyptic number.

213115104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213115104 is an abundant number, since it is smaller than the sum of its proper divisors (408473136).

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

213115104 is a wasteful number, since it uses less digits than its factorization.

213115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246680 (or 246666 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 213115104 is about 14598.4623847856. The cubic root of 213115104 is about 597.3168187841.

Adding to 213115104 its reverse (401511312), we get a palindrome (614626416).

The spelling of 213115104 in words is "two hundred thirteen million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 246661 493322 739983 986644 1479966 1973288 2219949 2959932 3946576 4439898 5919864 6659847 7893152 8879796 11839728 13319694 17759592 23679456 26639388 35519184 53278776 71038368 106557552 213115104