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42001222210020 = 22325587873969247
BaseRepresentation
bin10011000110011001010111…
…11011100001000111100100
312111201021111101120120020100
421203030223323201013210
521001122000341210040
6225155032313304100
711563326304132233
oct1143145373410744
9174637441516210
1042001222210020
1112423688a71387
124864150405030
131a589100cb618
14a52c273dab1a
154cc835170b30
hex26332bee11e4

42001222210020 has 72 divisors (see below), whose sum is σ = 127405906677504. Its totient is φ = 11200132577088.

The previous prime is 42001222209997. The next prime is 42001222210021. The reversal of 42001222210020 is 2001222210024.

42001222210020 is a `hidden beast` number, since 420 + 0 + 1 + 2 + 2 + 221 + 0 + 0 + 20 = 666.

42001222210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42001222209975 and 42001222210002.

It is not an unprimeable number, because it can be changed into a prime (42001222210021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8597037 + ... + 12566283.

It is an arithmetic number, because the mean of its divisors is an integer number (1769526481632).

Almost surely, 242001222210020 is an apocalyptic number.

It is an amenable number.

42001222210020 is an abundant number, since it is smaller than the sum of its proper divisors (85404684467484).

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

42001222210020 is a wasteful number, since it uses less digits than its factorization.

42001222210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028049 (or 4028044 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42001222210020 its reverse (2001222210024), we get a palindrome (44002444420044).

The spelling of 42001222210020 in words is "forty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58787 117574 176361 235148 293935 352722 529083 587870 705444 881805 1058166 1175740 1763610 2116332 2645415 3527220 3969247 5290830 7938494 10581660 11907741 15876988 19846235 23815482 35723223 39692470 47630964 59538705 71446446 79384940 119077410 142892892 178616115 238154820 357232230 714464460 233340123389 466680246778 700020370167 933360493556 1166700616945 1400040740334 2100061110501 2333401233890 2800081480668 3500101850835 4200122221002 4666802467780 7000203701670 8400244442004 10500305552505 14000407403340 21000611105010 42001222210020