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20100532122 = 232113130710667
BaseRepresentation
bin10010101110000101…
…011100011110011010
31220212211200211101200
4102232011130132122
5312131214011442
613122320055030
71311052463316
oct225605343632
956784624350
1020100532122
118585254320
123a8b764476
131b844766b8
14d897b4b46
157c99c834c
hex4ae15c79a

20100532122 has 96 divisors (see below), whose sum is σ = 49207302144. Its totient is φ = 5874832800.

The previous prime is 20100532093. The next prime is 20100532129. The reversal of 20100532122 is 22123500102.

20100532122 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 532 + 122 = 666.

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 = 20100532095 and 20100532104.

It is not an unprimeable number, because it can be changed into a prime (20100532129) 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, 1879033 + ... + 1889699.

It is an arithmetic number, because the mean of its divisors is an integer number (512576064).

Almost surely, 220100532122 is an apocalyptic number.

20100532122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100532122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603651072).

20100532122 is an abundant number, since it is smaller than the sum of its proper divisors (29106770022).

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

20100532122 is a wasteful number, since it uses less digits than its factorization.

20100532122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 20100532122 in words is "twenty billion, one hundred million, five hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 307 341 558 614 682 921 1023 1842 2046 2763 3069 3377 5526 6138 6754 9517 10131 10667 19034 20262 21334 28551 30393 32001 57102 60786 64002 85653 96003 104687 117337 171306 192006 209374 234674 314061 330677 352011 628122 661354 704022 942183 992031 1056033 1884366 1984062 2112066 2976093 3274769 3637447 5952186 6549538 7274894 9824307 10912341 19648614 21824682 29472921 32737023 36022459 58945842 65474046 72044918 101517839 108067377 203035678 216134754 304553517 324202131 609107034 648404262 913660551 1116696229 1827321102 2233392458 3350088687 6700177374 10050266061 20100532122