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201330203220 = 2232536715112017
BaseRepresentation
bin1011101110000000110…
…1110001101001010100
3201020200001022000021100
42323200031301221110
511244311013000340
6232253444550100
720355102330336
oct2734015615124
9636601260240
10201330203220
1178424718603
12330290b2330
1315ca6aa0783
149a5ca25456
15538512d830
hex2ee0371a54

201330203220 has 144 divisors (see below), whose sum is σ = 613074728448. Its totient is φ = 53479802880.

The previous prime is 201330203153. The next prime is 201330203251. The reversal of 201330203220 is 22302033102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201330203193 and 201330203202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99815652 + ... + 99817668.

It is an arithmetic number, because the mean of its divisors is an integer number (4257463392).

Almost surely, 2201330203220 is an apocalyptic number.

201330203220 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 201330203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306537364224).

201330203220 is an abundant number, since it is smaller than the sum of its proper divisors (411744525228).

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

201330203220 is a wasteful number, since it uses less digits than its factorization.

201330203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201330203220 its reverse (22302033102), we get a palindrome (223632236322).

It can be divided in two parts, 201330 and 203220, that added together give a triangular number (404550 = T899).

The spelling of 201330203220 in words is "two hundred one billion, three hundred thirty million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1511 1835 2017 2202 3022 3303 3670 4034 4404 4533 5505 6044 6051 6606 7340 7555 8068 9066 10085 11010 12102 13212 13599 15110 16515 18132 18153 20170 22020 22665 24204 27198 30220 30255 33030 36306 40340 45330 54396 60510 66060 67995 72612 90660 90765 121020 135990 181530 271980 363060 554537 740239 1109074 1480478 1663611 2218148 2220717 2772685 2960956 3047687 3327222 3701195 4441434 4990833 5545370 6095374 6654444 6662151 7402390 8318055 8882868 9143061 9981666 11090740 11103585 12190748 13324302 14804780 15238435 16636110 18286122 19963332 22207170 24954165 26648604 27429183 30476870 33272220 33310755 36572244 44414340 45715305 49908330 54858366 60953740 66621510 91430610 99816660 109716732 133243020 137145915 182861220 274291830 548583660 1118501129 2237002258 3355503387 4474004516 5592505645 6711006774 10066510161 11185011290 13422013548 16777516935 20133020322 22370022580 33555033870 40266040644 50332550805 67110067740 100665101610 201330203220