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2121344431212 = 2233722433212981
BaseRepresentation
bin11110110111101001111…
…110110011010001101100
321111210120010210122101010
4132313221332303101230
5234224003133244322
64302310541145220
7306155615103006
oct36675176632154
97453503718333
102121344431212
1174872569aa86
122a3169b5b210
13125071142166
14749605a1376
153a2aaeed20c
hex1ede9fb346c

2121344431212 has 48 divisors (see below), whose sum is σ = 5083832632032. Its totient is φ = 687969699840.

The previous prime is 2121344431201. The next prime is 2121344431289.

It is a happy number.

2121344431212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121344431212.

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, 9853762 + ... + 10066742.

It is an arithmetic number, because the mean of its divisors is an integer number (105913179834).

Almost surely, 22121344431212 is an apocalyptic number.

It is an amenable number.

2121344431212 is an abundant number, since it is smaller than the sum of its proper divisors (2962488200820).

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

2121344431212 is a wasteful number, since it uses less digits than its factorization.

2121344431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235458 (or 235456 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 2121344431212 in words is "two trillion, one hundred twenty-one billion, three hundred forty-four million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 22433 44866 67299 89732 134598 212981 269196 425962 638943 830021 851924 1277886 1660042 2490063 2555772 3320084 4980126 7880297 9960252 15760594 23640891 31521188 47281782 94563564 4777802773 9555605546 14333408319 19111211092 28666816638 57333633276 176778702601 353557405202 530336107803 707114810404 1060672215606 2121344431212