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20101122 = 234167743
BaseRepresentation
bin100110010101…
…1100000000010
31101211020120000
41030223200002
520121213442
61554500430
7332566566
oct114534002
941736500
1020101122
111038a2a8
126894716
13421a472
1429536a6
151b70d4c
hex132b802

20101122 has 40 divisors (see below), whose sum is σ = 45372096. Its totient is φ = 6651288.

The previous prime is 20101099. The next prime is 20101129. The reversal of 20101122 is 22110102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20101129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26683 + ... + 27425.

Almost surely, 220101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048).

20101122 is an abundant number, since it is smaller than the sum of its proper divisors (25270974).

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

20101122 is a wasteful number, since it uses less digits than its factorization.

20101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20101122 is about 4483.4274835220. The cubic root of 20101122 is about 271.8984716953.

Adding to 20101122 its reverse (22110102), we get a palindrome (42211224).

The spelling of 20101122 in words is "twenty million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 743 1002 1486 1503 2229 3006 4458 4509 6687 9018 13374 13527 20061 27054 40122 60183 120366 124081 248162 372243 744486 1116729 2233458 3350187 6700374 10050561 20101122