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2012312021214 = 23117127976561
BaseRepresentation
bin11101010010000111001…
…001001010100011011110
321010101010111002022221210
4131102013021022203132
5230432203334134324
64140235434205250
7265245652646445
oct35220711124336
97111114068853
102012312021214
11706464747630
12285bbb283826
131179b6245521
146d579acdd5c
1537528d33d29
hex1d48724a8de

2012312021214 has 96 divisors (see below), whose sum is σ = 4509636549120. Its totient is φ = 593584992000.

The previous prime is 2012312021197. The next prime is 2012312021219. The reversal of 2012312021214 is 4121202132102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012312021219) 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, 26245494 + ... + 26322054.

It is an arithmetic number, because the mean of its divisors is an integer number (46975380720).

Almost surely, 22012312021214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012312021214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254818274560).

2012312021214 is an abundant number, since it is smaller than the sum of its proper divisors (2497324527906).

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

2012312021214 is a wasteful number, since it uses less digits than its factorization.

2012312021214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76798 (or 76727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2012312021214 its reverse (4121202132102), we get a palindrome (6133514153316).

The spelling of 2012312021214 in words is "two trillion, twelve billion, three hundred twelve million, twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 79 142 158 213 237 426 474 781 869 1562 1738 2343 2607 4686 5041 5214 5609 10082 11218 15123 16827 30246 33654 55451 61699 76561 110902 123398 153122 166353 185097 229683 332706 370194 398239 459366 796478 842171 1194717 1684342 2389434 2526513 4380629 5053026 5435831 6048319 8761258 10871662 12096638 13141887 16307493 18144957 26283774 32614986 36289914 59794141 66531509 119588282 133063018 179382423 199594527 358764846 385944001 399189054 429430649 771888002 858861298 1157832003 1288291947 2315664006 2576583894 4245384011 4723737139 8490768022 9447474278 12736152033 14171211417 25472304066 28342422834 30489576079 60979152158 91468728237 182937456474 335385336869 670770673738 1006156010607 2012312021214