Search a number
-
+
214620811002 = 2351319294099
BaseRepresentation
bin1100011111100001100…
…1011010111011111010
3202111222021220211200000
43013320121122323322
512004020411423002
6242332340453430
721335334536103
oct3077031327372
9674867824600
10214620811002
1183024941984
12357180aa276
1317314432230
14a55dbdb3aa
1558b1d3661c
hex31f865aefa

214620811002 has 144 divisors (see below), whose sum is σ = 548106904800. Its totient is φ = 62560867104.

The previous prime is 214620810967. The next prime is 214620811003. The reversal of 214620811002 is 200118026412.

214620811002 is a `hidden beast` number, since 21 + 4 + 620 + 8 + 1 + 10 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214620811003) 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 71 ways as a sum of consecutive naturals, for example, 2233749 + ... + 2327847.

It is an arithmetic number, because the mean of its divisors is an integer number (3806297950).

Almost surely, 2214620811002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214620811002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274053452400).

214620811002 is an abundant number, since it is smaller than the sum of its proper divisors (333486093798).

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

214620811002 is a wasteful number, since it uses less digits than its factorization.

214620811002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94167 (or 94136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 214620811002 its reverse (200118026412), we get a palindrome (414738837414).

The spelling of 214620811002 in words is "two hundred fourteen billion, six hundred twenty million, eight hundred eleven thousand, two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 361 486 494 513 702 722 741 1026 1053 1083 1482 1539 2106 2166 2223 3078 3159 3249 4446 4617 4693 6318 6498 6669 9234 9386 9747 13338 14079 19494 20007 28158 29241 40014 42237 58482 60021 84474 87723 94099 120042 126711 175446 188198 253422 282297 380133 564594 760266 846891 1140399 1223287 1693782 1787881 2280798 2446574 2540673 3575762 3669861 5081346 5363643 7339722 7622019 10727286 11009583 15244038 16090929 22019166 22866057 23242453 32181858 33028749 33969739 45732114 46484906 48272787 66057498 67939478 69727359 96545574 99086247 101909217 139454718 144818361 198172494 203818434 209182077 289636722 297258741 305727651 418364154 434455083 441606607 594517482 611455302 627546231 868910166 883213214 917182953 1255092462 1324819821 1834365906 1882638693 2649639642 2751548859 3765277386 3974459463 5503097718 5647916079 7948918926 8254646577 11295832158 11923378389 16509293154 23846756778 35770135167 71540270334 107310405501 214620811002