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20122022312 = 2374159314779
BaseRepresentation
bin10010101111010111…
…011011000110101000
31220221100010122101122
4102233113123012220
5312202214203222
613124404434412
71311433240040
oct225727330650
956840118348
1020122022312
1185963a2207
123a969a8a08
131b88a5c1a2
14d8c5aa720
157cb820a42
hex4af5db1a8

20122022312 has 64 divisors (see below), whose sum is σ = 44247772800. Its totient is φ = 8398632960.

The previous prime is 20122022311. The next prime is 20122022321. The reversal of 20122022312 is 21322022102.

It is not an unprimeable number, because it can be changed into a prime (20122022311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354139 + ... + 1368917.

It is an arithmetic number, because the mean of its divisors is an integer number (691371450).

Almost surely, 220122022312 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 20122022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123886400).

20122022312 is an abundant number, since it is smaller than the sum of its proper divisors (24125750488).

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

20122022312 is a wasteful number, since it uses less digits than its factorization.

20122022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15426 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20122022312 its reverse (21322022102), we get a palindrome (41444044414).

The spelling of 20122022312 in words is "twenty billion, one hundred twenty-two million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 593 1148 1186 2296 2372 4151 4744 8302 14779 16604 24313 29558 33208 48626 59116 97252 103453 118232 170191 194504 206906 340382 413812 605939 680764 827624 1211878 1361528 2423756 4241573 4847512 8483146 8763947 16966292 17527894 33932584 35055788 61347629 70111576 122695258 245390516 359321827 490781032 718643654 1437287308 2515252789 2874574616 5030505578 10061011156 20122022312