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20411222341412 = 2272372617123289
BaseRepresentation
bin1001010010000010110111…
…01010000011011100100100
32200021021221011211212222002
410221001123222003130210
510133404140404411122
6111224441444024432
74204443055163300
oct451013352033444
980237834755862
1020411222341412
11655a39498a661
1223579b9092118
13b50a01926a86
14507ca0a4ad00
15255e21adc992
hex12905ba83724

20411222341412 has 108 divisors (see below), whose sum is σ = 42774340355460. Its totient is φ = 8497379810304.

The previous prime is 20411222341403. The next prime is 20411222341417. The reversal of 20411222341412 is 21414322211402.

It can be written as a sum of positive squares in 6 ways, for example, as 47356723456 + 20363865617956 = 217616^2 + 4512634^2 .

It is not an unprimeable number, because it can be changed into a prime (20411222341417) 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 35 ways as a sum of consecutive naturals, for example, 165494264 + ... + 165617552.

It is an arithmetic number, because the mean of its divisors is an integer number (396058706995).

Almost surely, 220411222341412 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 20411222341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387170177730).

20411222341412 is an abundant number, since it is smaller than the sum of its proper divisors (22363118014048).

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

20411222341412 is a wasteful number, since it uses less digits than its factorization.

20411222341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123998 (or 123952 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 20411222341412 its reverse (21414322211402), we get a palindrome (41825544552814).

The spelling of 20411222341412 in words is "twenty trillion, four hundred eleven billion, two hundred twenty-two million, three hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 617 1036 1234 1369 1813 2468 2738 3626 4319 5476 7252 8638 9583 17276 19166 22829 30233 38332 45658 60466 67081 91316 120932 123289 134162 159803 246578 268324 319606 493156 639212 844673 863023 1118621 1689346 1726046 2237242 3378692 3452092 4474484 4561693 5912711 6041161 9123386 11825422 12082322 18246772 23650844 24164644 31931851 41388977 63863702 76069313 82777954 127727404 152138626 165555908 168782641 223522957 304277252 337565282 447045914 532485191 675130564 894091828 1064970382 1181478487 2129940764 2362956974 2814564581 3727396337 4725913948 5629129162 7454792674 8270349409 11258258324 14909585348 16540698818 19701952067 33081397636 39403904134 78807808268 104138889497 137913664469 208277778994 275827328938 416555557988 551654657876 728972226479 1457944452958 2915888905916 5102805585353 10205611170706 20411222341412