Search a number
-
+
2131332222312 = 233337266683211
BaseRepresentation
bin11111000000111101010…
…011001100110101101000
321112202100012121000001000
4133000331103030311220
5234404432022103222
64311042010155000
7306661253655336
oct37007523146550
97482305530030
102131332222312
11751990526297
122a5096a22a60
13125ca3446517
147522ac66b56
153a692c989ac
hex1f03d4ccd68

2131332222312 has 64 divisors (see below), whose sum is σ = 6080377233600. Its totient is φ = 691242880320.

The previous prime is 2131332222307. The next prime is 2131332222353. The reversal of 2131332222312 is 2132222331312.

2131332222312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 322 + 22 + 312 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133333614 + ... + 133349597.

It is an arithmetic number, because the mean of its divisors is an integer number (95005894275).

Almost surely, 22131332222312 is an apocalyptic number.

It is an amenable number.

2131332222312 is an abundant number, since it is smaller than the sum of its proper divisors (3949045011288).

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

2131332222312 is a wasteful number, since it uses less digits than its factorization.

2131332222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266683263 (or 266683253 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2131332222312 its reverse (2132222331312), we get a palindrome (4263554553624).

The spelling of 2131332222312 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 266683211 533366422 800049633 1066732844 1600099266 2133465688 2400148899 3200198532 4800297798 6400397064 7200446697 9600595596 9867278807 14400893394 19201191192 19734557614 28801786788 29601836421 39469115228 57603573576 59203672842 78938230456 88805509263 118407345684 177611018526 236814691368 266416527789 355222037052 532833055578 710444074104 1065666111156 2131332222312