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201001010100 = 223521160909397
BaseRepresentation
bin1011101100110010011…
…0000000001110110100
3201012211002212021012120
42323030212000032310
511243122224310400
6232201045115540
720343664252542
oct2731446001664
9635732767176
10201001010100
1178275914980
1232b569b8bb0
1315c53821047
149a2b012d92
1553662a4ca0
hex2ecc9803b4

201001010100 has 72 divisors (see below), whose sum is σ = 634432289568. Its totient is φ = 48727516800.

The previous prime is 201001010099. The next prime is 201001010107. The reversal of 201001010100 is 1010100102.

It is a super-2 number, since 2×2010010101002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30451399 + ... + 30457998.

Almost surely, 2201001010100 is an apocalyptic number.

201001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001010100 is an abundant number, since it is smaller than the sum of its proper divisors (433431279468).

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

201001010100 is a wasteful number, since it uses less digits than its factorization.

201001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60909425 (or 60909418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 201001010100 its reverse (1010100102), we get a palindrome (202011110202).

The spelling of 201001010100 in words is "two hundred one billion, one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 60909397 121818794 182728191 243637588 304546985 365456382 609093970 670003367 730912764 913640955 1218187940 1340006734 1522734925 1827281910 2010010101 2680013468 3045469850 3350016835 3654563820 4020020202 4568204775 6090939700 6700033670 8040040404 9136409550 10050050505 13400067340 16750084175 18272819100 20100101010 33500168350 40200202020 50250252525 67000336700 100500505050 201001010100