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213102330 = 23577313901
BaseRepresentation
bin11001011001110…
…10111011111010
3112211222201102220
430230322323322
5414023233310
633051304510
75165224410
oct1454727372
9484881386
10213102330
11aa321a31
125b44b136
13351c3c6c
14204332b0
1513a96670
hexcb3aefa

213102330 has 64 divisors (see below), whose sum is σ = 592558848. Its totient is φ = 48038400.

The previous prime is 213102319. The next prime is 213102343. The reversal of 213102330 is 33201312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8380 + ... + 22280.

It is an arithmetic number, because the mean of its divisors is an integer number (9258732).

Almost surely, 2213102330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296279424).

213102330 is an abundant number, since it is smaller than the sum of its proper divisors (379456518).

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

213102330 is a wasteful number, since it uses less digits than its factorization.

213102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213102330 is about 14598.0248663989. The cubic root of 213102330 is about 597.3048842671.

Adding to 213102330 its reverse (33201312), we get a palindrome (246303642).

The spelling of 213102330 in words is "two hundred thirteen million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 7665 13901 15330 27802 41703 69505 83406 97307 139010 194614 208515 291921 417030 486535 583842 973070 1014773 1459605 2029546 2919210 3044319 5073865 6088638 7103411 10147730 14206822 15221595 21310233 30443190 35517055 42620466 71034110 106551165 213102330