Search a number
-
+
213115453236 = 22327369124977
BaseRepresentation
bin1100011001111010101…
…0111011111100110100
3202101002101022202000200
43012132222323330310
511442430024000421
6241523123440500
721253125315000
oct3063652737464
9671071282020
10213115453236
1182422132354
1235377b26130
13171345b53aa
14a459d01700
155824ace726
hex319eabbf34

213115453236 has 144 divisors (see below), whose sum is σ = 629165846400. Its totient is φ = 60799576320.

The previous prime is 213115453231. The next prime is 213115453249. The reversal of 213115453236 is 632354511312.

213115453236 is a `hidden beast` number, since 2 + 1 + 3 + 115 + 4 + 532 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213115453236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213115453231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8519980 + ... + 8544956.

Almost surely, 2213115453236 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 213115453236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314582923200).

213115453236 is an abundant number, since it is smaller than the sum of its proper divisors (416050393164).

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

213115453236 is a wasteful number, since it uses less digits than its factorization.

213115453236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25699 (or 25680 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 213115453236 its reverse (632354511312), we get a palindrome (845469964548).

The spelling of 213115453236 in words is "two hundred thirteen billion, one hundred fifteen million, four hundred fifty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 691 882 1029 1372 1382 1764 2058 2073 2764 3087 4116 4146 4837 6174 6219 8292 9674 12348 12438 14511 19348 24876 24977 29022 33859 43533 49954 58044 67718 74931 87066 99908 101577 135436 149862 174132 174839 203154 224793 237013 299724 304731 349678 406308 449586 474026 524517 609462 699356 711039 899172 948052 1049034 1218924 1223873 1422078 1573551 2098068 2133117 2447746 2844156 3147102 3671619 4266234 4895492 6294204 7343238 8532468 8567111 11014857 14686476 17134222 17259107 22029714 25701333 34268444 34518214 44059428 51402666 51777321 69036428 77103999 102805332 103554642 120813749 154207998 155331963 207109284 241627498 308415996 310663926 362441247 483254996 621327852 724882494 845696243 1087323741 1449764988 1691392486 2174647482 2537088729 3382784972 4349294964 5074177458 5919873701 7611266187 10148354916 11839747402 15222532374 17759621103 23679494804 30445064748 35519242206 53278863309 71038484412 106557726618 213115453236