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201103234020 = 2232513317271109
BaseRepresentation
bin1011101101001010101…
…1111101001111100100
3201020002020012210001200
42323102223331033210
511243324411442040
6232215140122500
720346345166503
oct2732253751744
9636066183050
10201103234020
1178318595257
1232b85096430
1315c6ba62b80
149a3a82283a
155370248630
hex2ed2afd3e4

201103234020 has 144 divisors (see below), whose sum is σ = 659012019120. Its totient is φ = 49345993728.

The previous prime is 201103234009. The next prime is 201103234037. The reversal of 201103234020 is 20432301102.

201103234020 is a `hidden beast` number, since 201 + 103 + 2 + 340 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 97989033024 + 103114200996 = 313032^2 + 321114^2 .

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 = 201103233984 and 201103234002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 606226 + ... + 877334.

It is an arithmetic number, because the mean of its divisors is an integer number (4576472355).

Almost surely, 2201103234020 is an apocalyptic number.

201103234020 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 201103234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329506009560).

201103234020 is an abundant number, since it is smaller than the sum of its proper divisors (457908785100).

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

201103234020 is a wasteful number, since it uses less digits than its factorization.

201103234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271454 (or 271449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201103234020 its reverse (20432301102), we get a palindrome (221535535122).

The spelling of 201103234020 in words is "two hundred one billion, one hundred three million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 317 390 468 585 634 780 951 1170 1268 1585 1902 2340 2853 3170 3804 4121 4755 5706 6340 8242 9510 11412 12363 14265 16484 19020 20605 24726 28530 37089 41210 49452 57060 61815 74178 82420 123630 148356 185445 247260 271109 370890 542218 741780 813327 1084436 1355545 1626654 2439981 2711090 3253308 3524417 4066635 4879962 5422180 7048834 8133270 9759924 10573251 12199905 14097668 16266540 17622085 21146502 24399810 31719753 35244170 42293004 48799620 52866255 63439506 70488340 85941553 105732510 126879012 158598765 171883106 211465020 257824659 317197530 343766212 429707765 515649318 634395060 773473977 859415530 1031298636 1117240189 1289123295 1546947954 1718831060 2234480378 2578246590 3093895908 3351720567 3867369885 4468960756 5156493180 5586200945 6703441134 7734739770 10055161701 11172401890 13406882268 15469479540 16758602835 20110323402 22344803780 33517205670 40220646804 50275808505 67034411340 100551617010 201103234020