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201141233400 = 233522911559841
BaseRepresentation
bin1011101101010011110…
…0111010011011111000
3201020011212201100102010
42323110330322123320
511243414123432100
6232223014405520
720350316163042
oct2732474723370
9636155640363
10201141233400
1178337a897a8
1232b959608a0
1315c768a8c03
149a418b4a92
155373752750
hex2ed4f3a6f8

201141233400 has 96 divisors (see below), whose sum is σ = 645039183600. Its totient is φ = 51788083200.

The previous prime is 201141233399. The next prime is 201141233413. The reversal of 201141233400 is 4332141102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5762521 + ... + 5797320.

Almost surely, 2201141233400 is an apocalyptic number.

201141233400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201141233400 is an abundant number, since it is smaller than the sum of its proper divisors (443897950200).

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

201141233400 is a wasteful number, since it uses less digits than its factorization.

201141233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559889 (or 11559880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201141233400 its reverse (4332141102), we get a palindrome (205473374502).

The spelling of 201141233400 in words is "two hundred one billion, one hundred forty-one million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 11559841 23119682 34679523 46239364 57799205 69359046 92478728 115598410 138718092 173397615 231196820 277436184 288996025 335235389 346795230 462393640 577992050 670470778 693590460 866988075 1005706167 1155984100 1340941556 1387180920 1676176945 1733976150 2011412334 2311968200 2681883112 3352353890 3467952300 4022824668 5028530835 6704707780 6935904600 8045649336 8380884725 10057061670 13409415560 16761769450 20114123340 25142654175 33523538900 40228246680 50285308350 67047077800 100570616700 201141233400