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213020143452 = 223229839243197
BaseRepresentation
bin1100011001100011111…
…1010110111101011100
3202100211201222111120200
43012120333112331130
511442231124042302
6241505440543500
721250560225624
oct3063077267534
9670751874520
10213020143452
1182383354736
1235350021b90
131711a92467c
14a44b3b1884
15581b55481c
hex3198fd6f5c

213020143452 has 72 divisors (see below), whose sum is σ = 557701653600. Its totient is φ = 68476211328.

The previous prime is 213020143429. The next prime is 213020143471. The reversal of 213020143452 is 254341020312.

213020143452 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 201 + 4 + 3 + 452 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754318 + ... + 997514.

It is an arithmetic number, because the mean of its divisors is an integer number (7745856300).

Almost surely, 2213020143452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213020143452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278850826800).

213020143452 is an abundant number, since it is smaller than the sum of its proper divisors (344681510148).

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

213020143452 is a wasteful number, since it uses less digits than its factorization.

213020143452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244075 (or 244070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 213020143452 its reverse (254341020312), we get a palindrome (467361163764).

The spelling of 213020143452 in words is "two hundred thirteen billion, twenty million, one hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 839 1044 1678 2517 3356 5034 7551 10068 15102 24331 30204 48662 72993 97324 145986 218979 243197 291972 437958 486394 729591 875916 972788 1459182 2188773 2918364 4377546 7052713 8755092 14105426 21158139 28210852 42316278 63474417 84632556 126948834 204042283 253897668 408084566 612126849 816169132 1224253698 1836380547 2448507396 3672761094 5917226207 7345522188 11834452414 17751678621 23668904828 35503357242 53255035863 71006714484 106510071726 213020143452