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201002002110100 = 22527370289391733
BaseRepresentation
bin101101101100111101101100…
…111011110101011010010100
3222100200121022010101012210101
4231230331230323311122110
5202321204100020010400
61551255013420103444
760223625663604322
oct5554755473653224
9870617263335711
10201002002110100
115905551a097194
121a66364b994b84
13882053b290349
14378c797d14d12
1518387cb48356a
hexb6cf6cef5694

201002002110100 has 72 divisors (see below), whose sum is σ = 442156754765880. Its totient is φ = 79298089390080.

The previous prime is 201002002110059. The next prime is 201002002110121. The reversal of 201002002110100 is 1011200200102.

It can be written as a sum of positive squares in 12 ways, for example, as 14213035720324 + 186788966389776 = 3770018^2 + 13667076^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512913834 + ... + 513305566.

It is an arithmetic number, because the mean of its divisors is an integer number (6141066038415).

Almost surely, 2201002002110100 is an apocalyptic number.

201002002110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002002110100 is an abundant number, since it is smaller than the sum of its proper divisors (241154752655780).

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

201002002110100 is a wasteful number, since it uses less digits than its factorization.

201002002110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462109 (or 462102 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201002002110100 its reverse (1011200200102), we get a palindrome (202013202310202).

The spelling of 201002002110100 in words is "two hundred one trillion, two billion, two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 70289 140578 281156 351445 391733 702890 783466 1405780 1566932 1757225 1958665 3514450 3917330 5131097 7028900 7834660 9793325 10262194 19586650 20524388 25655485 28596509 39173300 51310970 57193018 102621940 114386036 128277425 142982545 256554850 285965090 513109700 571930180 714912725 1429825450 2859650900 27534520837 55069041674 110138083348 137672604185 275345208370 550690416740 688363020925 1376726041850 2010020021101 2753452083700 4020040042202 8040080084404 10050100105505 20100200211010 40200400422020 50250500527525 100501001055050 201002002110100