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2101100023300 = 225273413969539
BaseRepresentation
bin11110100100110011010…
…100100000111000000100
321102212022021101011111111
4132210303110200320010
5233411023101221200
64245122041214404
7304541134344415
oct36446324407004
97385267334444
102101100023300
11740087207753
1229b25a191404
13123195c32275
147399da5780c
15399c3aa50ba
hex1e933520e04

2101100023300 has 72 divisors (see below), whose sum is σ = 4623027544800. Its totient is φ = 828714942720.

The previous prime is 2101100023261. The next prime is 2101100023417. The reversal of 2101100023300 is 33200011012.

It is a super-2 number, since 2×21011000233002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 30179931 + ... + 30249469.

It is an arithmetic number, because the mean of its divisors is an integer number (64208715900).

Almost surely, 22101100023300 is an apocalyptic number.

2101100023300 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 2101100023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311513772400).

2101100023300 is an abundant number, since it is smaller than the sum of its proper divisors (2521927521500).

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

2101100023300 is a wasteful number, since it uses less digits than its factorization.

2101100023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73765 (or 73758 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2101100023300 its reverse (33200011012), we get a palindrome (2134300034312).

The spelling of 2101100023300 in words is "two trillion, one hundred one billion, one hundred million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 4139 7300 8278 16556 20695 41390 69539 82780 103475 139078 206950 278156 302147 347695 413900 604294 695390 1208588 1390780 1510735 1738475 3021470 3476950 5076347 6042940 6953900 7553675 10152694 15107350 20305388 25381735 30214700 50763470 101526940 126908675 253817350 287821921 507634700 575643842 1151287684 1439109605 2878219210 5756438420 7195548025 14391096050 21011000233 28782192100 42022000466 84044000932 105055001165 210110002330 420220004660 525275005825 1050550011650 2101100023300