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2121213033414 = 233412753348017
BaseRepresentation
bin11110110111100010001…
…001100011101111000110
321111210012222112221111000
4132313202021203233012
5234223221014032124
64302245524554130
7306152431201026
oct36674211435706
97453188487430
102121213033414
11748668503962
122a3131b52946
1312504cb57397
147494ad59a86
153a29e6e56c9
hex1ede2263bc6

2121213033414 has 64 divisors (see below), whose sum is σ = 4830545522880. Its totient is φ = 689572823040.

The previous prime is 2121213033157. The next prime is 2121213033439. The reversal of 2121213033414 is 4143303121212.

2121213033414 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 213 + 0 + 33 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5921134 + ... + 6269150.

It is an arithmetic number, because the mean of its divisors is an integer number (75477273795).

Almost surely, 22121213033414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121213033414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415272761440).

2121213033414 is an abundant number, since it is smaller than the sum of its proper divisors (2709332489466).

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

2121213033414 is a wasteful number, since it uses less digits than its factorization.

2121213033414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350822 (or 350816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2121213033414 its reverse (4143303121212), we get a palindrome (6264516154626).

The spelling of 2121213033414 in words is "two trillion, one hundred twenty-one billion, two hundred thirteen million, thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 2753 5506 8259 16518 24777 49554 74331 112873 148662 225746 338619 348017 677238 696034 1015857 1044051 2031714 2088102 3047571 3132153 6095142 6264306 9396459 14268697 18792918 28537394 42806091 85612182 128418273 256836546 385254819 770509638 958090801 1916181602 2874272403 5748544806 8622817209 17245634418 25868451627 39281722841 51736903254 78563445682 117845168523 235690337046 353535505569 707071011138 1060606516707 2121213033414