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201102010020 = 223253730195497
BaseRepresentation
bin1011101101001010011…
…1010010011010100100
3201020002010220121001100
42323102213102122210
511243324103310040
6232215054000100
720346331611132
oct2732247223244
9636063817040
10201102010020
117831792968a
1232b847a6030
1315c6b724a02
149a3a5c4752
1553700a5b30
hex2ed29d26a4

201102010020 has 72 divisors (see below), whose sum is σ = 626496192504. Its totient is φ = 52177817088.

The previous prime is 201102010013. The next prime is 201102010027. The reversal of 201102010020 is 20010201102.

201102010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201102010013) and next prime (201102010027).

It can be written as a sum of positive squares in 4 ways, for example, as 52667496036 + 148434513984 = 229494^2 + 385272^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201102009984 and 201102010011.

It is not an unprimeable number, because it can be changed into a prime (201102010027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15091089 + ... + 15104408.

It is an arithmetic number, because the mean of its divisors is an integer number (8701336007).

Almost surely, 2201102010020 is an apocalyptic number.

201102010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102010020 is an abundant number, since it is smaller than the sum of its proper divisors (425394182484).

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

201102010020 is a wasteful number, since it uses less digits than its factorization.

201102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30195549 (or 30195544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201102010020 its reverse (20010201102), we get a palindrome (221112211122).

The spelling of 201102010020 in words is "two hundred one billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30195497 60390994 90586491 120781988 150977485 181172982 271759473 301954970 362345964 452932455 543518946 603909940 905864910 1087037892 1117233389 1358797365 1811729820 2234466778 2717594730 3351700167 4468933556 5435189460 5586166945 6703400334 10055100501 11172333890 13406800668 16758500835 20110201002 22344667780 33517001670 40220402004 50275502505 67034003340 100551005010 201102010020