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2100332210300 = 2252127859719237
BaseRepresentation
bin11110100100000101100…
…011100010100001111100
321102210022202121020001222
4132210011203202201330
5233402440021212200
64244513532252512
7304513122135512
oct36440543424174
97383282536058
102100332210300
1173a822860455
1229b085011138
131230a2b3b94c
1473929aaa4b2
153997b489d85
hex1e9058e287c

2100332210300 has 72 divisors (see below), whose sum is σ = 4594381607424. Its totient is φ = 833377386240.

The previous prime is 2100332210287. The next prime is 2100332210309. The reversal of 2100332210300 is 30122330012.

It is a super-2 number, since 2×21003322103002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100332210309) 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, 109172282 + ... + 109191518.

Almost surely, 22100332210300 is an apocalyptic number.

2100332210300 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 2100332210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297190803712).

2100332210300 is an abundant number, since it is smaller than the sum of its proper divisors (2494049397124).

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

2100332210300 is a wasteful number, since it uses less digits than its factorization.

2100332210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27975 (or 27968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2100332210300 its reverse (30122330012), we get a palindrome (2130454540312).

The spelling of 2100332210300 in words is "two trillion, one hundred billion, three hundred thirty-two million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 8597 12700 17194 19237 34388 38474 42985 76948 85970 96185 171940 192370 214925 384740 429850 480925 859700 961850 1091819 1923700 2183638 2443099 4367276 4886198 5459095 9772396 10918190 12215495 21836380 24430990 27295475 48861980 54590950 61077475 109181900 122154950 165380489 244309900 330760978 661521956 826902445 1653804890 3307609780 4134512225 8269024450 16538048900 21003322103 42006644206 84013288412 105016610515 210033221030 420066442060 525083052575 1050166105150 2100332210300