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2121302031212 = 2272134127174929
BaseRepresentation
bin11110110111100111011…
…101000011101101101100
321111210110012000111111202
4132313213131003231230
5234223411304444322
64302302424305032
7306154561520600
oct36674735035554
97453405014452
102121302031212
11748703770261
122a3157912178
131250654180c0
1474958ac5500
153a2a7425292
hex1ede7743b6c

2121302031212 has 144 divisors (see below), whose sum is σ = 4781617787520. Its totient is φ = 815696179200.

The previous prime is 2121302031209. The next prime is 2121302031217.

2121302031212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2121302031217) 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, 28273364 + ... + 28348292.

It is an arithmetic number, because the mean of its divisors is an integer number (33205679080).

Almost surely, 22121302031212 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 2121302031212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390808893760).

2121302031212 is an abundant number, since it is smaller than the sum of its proper divisors (2660315756308).

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

2121302031212 is a wasteful number, since it uses less digits than its factorization.

2121302031212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75272 (or 75263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 2121302031212 in words is "two trillion, one hundred twenty-one billion, three hundred two million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 271 287 364 533 542 574 637 1066 1084 1148 1274 1897 2009 2132 2548 3523 3731 3794 4018 7046 7462 7588 8036 11111 13279 14092 14924 22222 24661 26117 26558 44444 49322 52234 53116 74929 77777 98644 104468 144443 149858 155554 172627 288886 299716 311108 345254 524503 544439 577772 690508 974077 1011101 1049006 1088878 1948154 2022202 2098012 2177756 3072089 3671521 3896308 4044404 6144178 6818539 7077707 7343042 12288356 13637078 14155414 14686084 20305759 21504623 27274156 28310828 39937157 40611518 43009246 47729773 79874314 81223036 86018492 95459546 142140313 150532361 159748628 190919092 263974867 279560099 284280626 301064722 527949734 559120198 568561252 602129444 832536119 994982191 1055899468 1118240396 1665072238 1847824069 1956920693 1989964382 3330144476 3695648138 3913841386 3979928764 5827752833 7391296276 7827682772 10822969547 11655505666 12934768483 21645939094 23311011332 25869536966 40794269831 43291878188 51739073932 75760786829 81588539662 151521573658 163177079324 303043147316 530325507803 1060651015606 2121302031212