Search a number
-
+
2123805297321 = 3210110940935237
BaseRepresentation
bin11110111001111100101…
…010010000101010101001
321112000220122100121001100
4132321330222100222221
5234244023124003241
64303355050112013
7306303606111531
oct36717452205251
97460818317040
102123805297321
117497787a5124
122a373611b609
13125373c1c056
1474b153464c1
153a3a20989b6
hex1ee7ca90aa9

2123805297321 has 48 divisors (see below), whose sum is σ = 3127876099920. Its totient is φ = 1388386137600.

The previous prime is 2123805297301. The next prime is 2123805297337. The reversal of 2123805297321 is 1237925083212.

2123805297321 is a `hidden beast` number, since 2 + 1 + 2 + 38 + 0 + 5 + 297 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 578907939600 + 1544897357721 = 760860^2 + 1242939^2 .

It is not a de Polignac number, because 2123805297321 - 235 = 2089445558953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2123805297301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405535915 + ... + 405541151.

It is an arithmetic number, because the mean of its divisors is an integer number (65164085415).

Almost surely, 22123805297321 is an apocalyptic number.

It is an amenable number.

2123805297321 is a deficient number, since it is larger than the sum of its proper divisors (1004070802599).

2123805297321 is a wasteful number, since it uses less digits than its factorization.

2123805297321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2123805297321 in words is "two trillion, one hundred twenty-three billion, eight hundred five million, two hundred ninety-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 101 109 303 327 909 981 4093 5237 11009 12279 15711 33027 36837 47133 99081 413393 446137 528937 570833 1240179 1338411 1586811 1712499 3720537 4015233 4760433 5137497 21435041 45059837 57654133 64305123 135179511 172962399 192915369 405538533 518887197 2164939141 2336419469 6494817423 7009258407 19484452269 21027775221 235978366369 707935099107 2123805297321