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201213220120 = 235111924068567
BaseRepresentation
bin1011101101100100111…
…1100001010100011000
3201020100220011122121221
42323121033201110120
511244041041020440
6232234105341424
720352152102623
oct2733117412430
9636326148557
10201213220120
1178374687460
1232bb5a97874
1315c88791ac3
149a4b292dba
155379c21d4a
hex2ed93e1518

201213220120 has 64 divisors (see below), whose sum is σ = 519881068800. Its totient is φ = 69317470080.

The previous prime is 201213220093. The next prime is 201213220133. The reversal of 201213220120 is 21022312102.

It is a happy number.

201213220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201213220094 and 201213220103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12025924 + ... + 12042643.

It is an arithmetic number, because the mean of its divisors is an integer number (8123141700).

Almost surely, 2201213220120 is an apocalyptic number.

201213220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213220120 is an abundant number, since it is smaller than the sum of its proper divisors (318667848680).

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

201213220120 is a wasteful number, since it uses less digits than its factorization.

201213220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24068608 (or 24068604 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201213220120 its reverse (21022312102), we get a palindrome (222235532222).

The spelling of 201213220120 in words is "two hundred one billion, two hundred thirteen million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 24068567 48137134 96274268 120342835 192548536 240685670 264754237 457302773 481371340 529508474 914605546 962742680 1059016948 1323771185 1829211092 2118033896 2286513865 2647542370 3658422184 4573027730 5030330503 5295084740 9146055460 10060661006 10590169480 18292110920 20121322012 25151652515 40242644024 50303305030 100606610060 201213220120