Search a number
-
+
2101110102300 = 223521121717319681
BaseRepresentation
bin11110100100110011111…
…010111101100100011100
321102212022222100020021210
4132210303322331210130
5233411033141233200
64245123041224420
7304541316123306
oct36446372754434
97385288306253
102101110102300
11740091971200
1229b261632110
13123198050a81
14739a111c976
15399c48e6650
hex1e933ebd91c

2101110102300 has 432 divisors, whose sum is σ = 7116432706656. Its totient is φ = 476602368000.

The previous prime is 2101110102281. The next prime is 2101110102407. The reversal of 2101110102300 is 32010111012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106748460 + ... + 106768140.

It is an arithmetic number, because the mean of its divisors is an integer number (16473223858).

Almost surely, 22101110102300 is an apocalyptic number.

2101110102300 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 2101110102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558216353328).

2101110102300 is an abundant number, since it is smaller than the sum of its proper divisors (5015322604356).

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

2101110102300 is a wasteful number, since it uses less digits than its factorization.

2101110102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19910 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2101110102300 its reverse (32010111012), we get a palindrome (2133120213312).

The spelling of 2101110102300 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred two thousand, three hundred".