Search a number
-
+
2131321213332 = 223437472337643
BaseRepresentation
bin11111000000111100101…
…001001101000110010100
321112202022102212200120000
4133000330221031012110
5234404421212311312
64311040534211300
7306661061254233
oct37007451150624
97482272780500
102131321213332
11751985297063
122a50931b3b30
13125ca109062c
14752295dcb1a
153a691d21adc
hex1f03ca4d194

2131321213332 has 120 divisors (see below), whose sum is σ = 5723644619616. Its totient is φ = 691074597312.

The previous prime is 2131321213283. The next prime is 2131321213337. The reversal of 2131321213332 is 2333121231312.

2131321213332 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 321 + 2 + 1 + 3 + 332 = 666.

It is a super-2 number, since 2×21313212133322 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2131321213296 and 2131321213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131321213337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56600503 + ... + 56638145.

Almost surely, 22131321213332 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 2131321213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861822309808).

2131321213332 is an abundant number, since it is smaller than the sum of its proper divisors (3592323406284).

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

2131321213332 is a wasteful number, since it uses less digits than its factorization.

2131321213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42419 (or 42408 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2131321213332 its reverse (2333121231312), we get a palindrome (4464442444644).

The spelling of 2131321213332 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 4723 5994 9446 11988 14169 18892 28338 37643 42507 56676 75286 85014 112929 127521 150572 170028 174751 225858 255042 338787 349502 382563 451716 510084 524253 677574 699004 765126 1016361 1048506 1355148 1392791 1530252 1572759 2032722 2097012 2785582 3049083 3145518 4065444 4178373 4718277 5571164 6098166 6291036 8356746 9436554 12196332 12535119 14154831 16713492 18873108 25070238 28309662 37605357 50140476 56619324 75210714 112816071 150421428 177787889 225632142 355575778 451264284 533363667 711151556 1066727334 1600091001 2133454668 3200182002 4800273003 6400364004 6578151893 9600546006 13156303786 14400819009 19201092012 19734455679 26312607572 28801638018 39468911358 57603276036 59203367037 78937822716 118406734074 177610101111 236813468148 355220202222 532830303333 710440404444 1065660606666 2131321213332