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201015545340 = 223567316315809
BaseRepresentation
bin1011101100110101110…
…1011100110111111100
3201012212010012201210210
42323031131130313330
511243134434422330
6232202324432420
720344231641411
oct2731535346774
9635763181723
10201015545340
1178283042475
1232b5b848710
1315c5683cc8c
149a2cd18108
1553676c68b0
hex2ecd75cdfc

201015545340 has 96 divisors (see below), whose sum is σ = 571460924160. Its totient is φ = 52784050176.

The previous prime is 201015545329. The next prime is 201015545347. The reversal of 201015545340 is 43545510102.

201015545340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201015545298 and 201015545307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201015545347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12707356 + ... + 12723164.

It is an arithmetic number, because the mean of its divisors is an integer number (5952717960).

Almost surely, 2201015545340 is an apocalyptic number.

201015545340 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 201015545340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285730462080).

201015545340 is an abundant number, since it is smaller than the sum of its proper divisors (370445378820).

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

201015545340 is a wasteful number, since it uses less digits than its factorization.

201015545340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19051 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 201015545340 in words is "two hundred one billion, fifteen million, five hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3163 4020 6326 9489 12652 15809 15815 18978 31618 31630 37956 47427 47445 63236 63260 79045 94854 94890 158090 189708 189780 211921 237135 316180 423842 474270 635763 847684 948540 1059203 1059605 1271526 2118406 2119210 2543052 3177609 3178815 4236812 4238420 5296015 6355218 6357630 10592030 12710436 12715260 15888045 21184060 31776090 50003867 63552180 100007734 150011601 200015468 250019335 300023202 500038670 600046404 750058005 1000077340 1500116010 3000232020 3350259089 6700518178 10050777267 13401036356 16751295445 20101554534 33502590890 40203109068 50253886335 67005181780 100507772670 201015545340