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201001133220 = 223537277326863
BaseRepresentation
bin1011101100110010011…
…0011110010010100100
3201012211010002112002120
42323030212132102210
511243122242230340
6232201051505540
720343665304516
oct2731446362244
9635733075076
10201001133220
1178275999428
1232b56a582b0
1315c538650b4
149a2b045bb6
1553662cb4d0
hex2ecc99e4a4

201001133220 has 96 divisors (see below), whose sum is σ = 580102537728. Its totient is φ = 51963213312.

The previous prime is 201001133219. The next prime is 201001133233. The reversal of 201001133220 is 22331100102.

201001133220 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201001133220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451509 + ... + 778371.

It is an arithmetic number, because the mean of its divisors is an integer number (6042734768).

Almost surely, 2201001133220 is an apocalyptic number.

201001133220 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 201001133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290051268864).

201001133220 is an abundant number, since it is smaller than the sum of its proper divisors (379101404508).

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

201001133220 is a wasteful number, since it uses less digits than its factorization.

201001133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327189 (or 327187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201001133220 its reverse (22331100102), we get a palindrome (223332233322).

It can be divided in two parts, 2010011 and 33220, that added together give a triangular number (2043231 = T2021).

The spelling of 201001133220 in words is "two hundred one billion, one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 277 370 444 554 555 740 831 1108 1110 1385 1662 2220 2770 3324 4155 5540 8310 10249 16620 20498 30747 40996 51245 61494 102490 122988 153735 204980 307470 326863 614940 653726 980589 1307452 1634315 1961178 3268630 3922356 4902945 6537260 9805890 12093931 19611780 24187862 36281793 48375724 60469655 72563586 90541051 120939310 145127172 181082102 181408965 241878620 271623153 362164204 362817930 452705255 543246306 725635860 905410510 1086492612 1358115765 1810821020 2716231530 3350018887 5432463060 6700037774 10050056661 13400075548 16750094435 20100113322 33500188870 40200226644 50250283305 67000377740 100500566610 201001133220