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201102112020 = 223567101495301
BaseRepresentation
bin1011101101001010011…
…1101011010100010100
3201020002011002202222010
42323102213223110110
511243324120041040
6232215100104220
720346332514405
oct2732247532424
9636064082863
10201102112020
1178317999287
1232b84835070
1315c6b75c274
149a3a60d9ac
1553700c5e80
hex2ed29eb514

201102112020 has 96 divisors (see below), whose sum is σ = 577149664896. Its totient is φ = 52303680000.

The previous prime is 201102111997. The next prime is 201102112109. The reversal of 201102112020 is 20211201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201102111987 and 201102112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158370 + ... + 653670.

It is an arithmetic number, because the mean of its divisors is an integer number (6011975676).

Almost surely, 2201102112020 is an apocalyptic number.

201102112020 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 201102112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288574832448).

201102112020 is an abundant number, since it is smaller than the sum of its proper divisors (376047552876).

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

201102112020 is a wasteful number, since it uses less digits than its factorization.

201102112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495481 (or 495479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201102112020 its reverse (20211201102), we get a palindrome (221313313122).

The spelling of 201102112020 in words is "two hundred one billion, one hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 101 134 201 202 268 303 335 402 404 505 606 670 804 1005 1010 1212 1340 1515 2010 2020 3030 4020 6060 6767 13534 20301 27068 33835 40602 67670 81204 101505 135340 203010 406020 495301 990602 1485903 1981204 2476505 2971806 4953010 5943612 7429515 9906020 14859030 29718060 33185167 50025401 66370334 99555501 100050802 132740668 150076203 165925835 199111002 200101604 250127005 300152406 331851670 398222004 497777505 500254010 600304812 663703340 750381015 995555010 1000508020 1500762030 1991110020 3001524060 3351701867 6703403734 10055105601 13406807468 16758509335 20110211202 33517018670 40220422404 50275528005 67034037340 100551056010 201102112020