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201220111300 = 2252131391796221
BaseRepresentation
bin1011101101100110100…
…1110011101111000100
3201020101101010202112211
42323121221303233010
511244044322030200
6232234513153204
720352264503545
oct2733151635704
9636341122484
10201220111300
117837856394a
1232bb825b804
1315c8a035620
149a4c1684cc
15537a633aba
hex2ed9a73bc4

201220111300 has 144 divisors (see below), whose sum is σ = 476341387200. Its totient is φ = 73338278400.

The previous prime is 201220111297. The next prime is 201220111307. The reversal of 201220111300 is 3111022102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (201220111307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32342190 + ... + 32348410.

It is an arithmetic number, because the mean of its divisors is an integer number (3307926300).

Almost surely, 2201220111300 is an apocalyptic number.

201220111300 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 201220111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238170693600).

201220111300 is an abundant number, since it is smaller than the sum of its proper divisors (275121275900).

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

201220111300 is a wasteful number, since it uses less digits than its factorization.

201220111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 201220111300 its reverse (3111022102), we get a palindrome (204331133402).

The spelling of 201220111300 in words is "two hundred one billion, two hundred twenty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 139 179 260 278 325 358 556 650 695 716 895 1300 1390 1790 1807 2327 2780 3475 3580 3614 4475 4654 6221 6950 7228 8950 9035 9308 11635 12442 13900 17900 18070 23270 24881 24884 31105 36140 45175 46540 49762 58175 62210 80873 90350 99524 116350 124405 124420 155525 161746 180700 232700 248810 311050 323453 323492 404365 497620 622025 622100 646906 808730 864719 1113559 1244050 1293812 1617265 1617460 1729438 2021825 2227118 2488100 3234530 3458876 4043650 4323595 4454236 5567795 6469060 8086325 8087300 8647190 11135590 11241347 14476267 16172650 17294380 21617975 22271180 22482694 27838975 28952534 32345300 43235950 44965388 55677950 56206735 57905068 72381335 86471900 111355900 112413470 144762670 154784701 224826940 281033675 289525340 309569402 361906675 562067350 619138804 723813350 773923505 1124134700 1447626700 1547847010 2012201113 3095694020 3869617525 4024402226 7739235050 8048804452 10061005565 15478470100 20122011130 40244022260 50305027825 100610055650 201220111300