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201124021340 = 225117383150883
BaseRepresentation
bin1011101101001111101…
…1010000010001011100
3201020010200022212220102
42323103323100101130
511243400222140330
6232221201440232
720350016655104
oct2732373202134
9636120285812
10201124021340
11783292a3060
1232b90040078
1315c73160768
149a3d4b4204
155371ea2945
hex2ed3ed045c

201124021340 has 96 divisors (see below), whose sum is σ = 472699051776. Its totient is φ = 71264586240.

The previous prime is 201124021337. The next prime is 201124021369. The reversal of 201124021340 is 43120421102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1257539 + ... + 1408421.

It is an arithmetic number, because the mean of its divisors is an integer number (4923948456).

Almost surely, 2201124021340 is an apocalyptic number.

201124021340 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 201124021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236349525888).

201124021340 is an abundant number, since it is smaller than the sum of its proper divisors (271575030436).

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

201124021340 is a wasteful number, since it uses less digits than its factorization.

201124021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151059 (or 151057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201124021340 its reverse (43120421102), we get a palindrome (244244442442).

The spelling of 201124021340 in words is "two hundred one billion, one hundred twenty-four million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 83 110 146 166 220 292 332 365 415 730 803 830 913 1460 1606 1660 1826 3212 3652 4015 4565 6059 8030 9130 12118 16060 18260 24236 30295 60590 66649 121180 133298 150883 266596 301766 333245 603532 666490 754415 1332980 1508830 1659713 3017660 3319426 6638852 8298565 11014459 12523289 16597130 22028918 25046578 33194260 44057836 50093156 55072295 62616445 110144590 121159049 125232890 137756179 220289180 242318098 250465780 275512358 484636196 551024716 605795245 688780895 914200097 1211590490 1377561790 1828400194 2423180980 2755123580 3656800388 4571000485 9142000970 10056201067 18284001940 20112402134 40224804268 50281005335 100562010670 201124021340