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201101000120 = 23579599106243
BaseRepresentation
bin1011101101001010001…
…1011011110110111000
3201020002002000021201122
42323102203123312320
511243323324000440
6232215020204412
720346320203616
oct2732243336670
9636062007648
10201101000120
11783172a9959
1232b84399708
1315c6b460137
149a3a4006b6
15536ee567b5
hex2ed28dbdb8

201101000120 has 64 divisors (see below), whose sum is σ = 458974080000. Its totient is φ = 79288829568.

The previous prime is 201101000119. The next prime is 201101000137. The reversal of 201101000120 is 21000101102.

It is a super-2 number, since 2×2011010001202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 201101000098 and 201101000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839719 + ... + 1945961.

It is an arithmetic number, because the mean of its divisors is an integer number (7171470000).

Almost surely, 2201101000120 is an apocalyptic number.

201101000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229487040000).

201101000120 is an abundant number, since it is smaller than the sum of its proper divisors (257873079880).

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

201101000120 is a wasteful number, since it uses less digits than its factorization.

201101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106932 (or 106928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201101000120 its reverse (21000101102), we get a palindrome (222101101222).

The spelling of 201101000120 in words is "two hundred one billion, one hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 599 632 790 1198 1580 2396 2995 3160 4792 5990 11980 23960 47321 94642 106243 189284 212486 236605 378568 424972 473210 531215 849944 946420 1062430 1892840 2124860 4249720 8393197 16786394 33572788 41965985 63639557 67145576 83931970 127279114 167863940 254558228 318197785 335727880 509116456 636395570 1272791140 2545582280 5027525003 10055050006 20110100012 25137625015 40220200024 50275250030 100550500060 201101000120