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201321323220 = 223579359311821
BaseRepresentation
bin1011101101111110101…
…1111001101011010100
3201020122102120212012110
42323133223321223110
511244301224320340
6232252530351020
720354634004203
oct2733753715324
9636572525173
10201321323220
117841a702966
123302612b470
1315ca4cb1934
149a5b79323a
155384477680
hex2edfaf9ad4

201321323220 has 96 divisors (see below), whose sum is σ = 571042321920. Its totient is φ = 52986885120.

The previous prime is 201321323219. The next prime is 201321323227. The reversal of 201321323220 is 22323123102.

It is a happy number.

It is a super-2 number, since 2×2013213232202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321323227) 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, 17024910 + ... + 17036730.

It is an arithmetic number, because the mean of its divisors is an integer number (5948357520).

Almost surely, 2201321323220 is an apocalyptic number.

201321323220 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 201321323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285521160960).

201321323220 is an abundant number, since it is smaller than the sum of its proper divisors (369720998700).

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

201321323220 is a wasteful number, since it uses less digits than its factorization.

201321323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15505 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201321323220 its reverse (22323123102), we get a palindrome (223644446322).

The spelling of 201321323220 in words is "two hundred one billion, three hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 3593 4740 7186 10779 11821 14372 17965 21558 23642 35463 35930 43116 47284 53895 59105 70926 71860 107790 118210 141852 177315 215580 236420 283847 354630 567694 709260 851541 933859 1135388 1419235 1703082 1867718 2801577 2838470 3406164 3735436 4257705 4669295 5603154 5676940 8515410 9338590 11206308 14007885 17030820 18677180 28015770 42472853 56031540 84945706 127418559 169891412 212364265 254837118 424728530 509674236 637092795 849457060 1274185590 2548371180 3355355387 6710710774 10066066161 13421421548 16776776935 20132132322 33553553870 40264264644 50330330805 67107107740 100660661610 201321323220